[22:22:01] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Model a preliminary design of a beverage vending machine. The machine can either deliver beer or soda. The state space is S = { pay , select , soda , beer }. The set of initial states consists │
           │ of only one state, i.e., I = { pay }. The (user) action insert coin denotes the insertion of a coin, while the (machine) actions get soda and get beer denote the delivery of soda and beer,       │
           │ respectively. Use the variable names pay, select, soda and beer. Write an LTL property that checks that the vending machine only delivers a drink after being provided with a coin. You may        │
           │ introduce auxiliary variables to do this if you need to.                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the Python code:                                                                                                                                                 │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:16] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         # Define state and boolean type                                                                                                                                                            │
           │         self.state_type = Enum('S', ['pay', 'select', 'soda', 'beer'])                                                                                                                             │
           │         self.boolean_type = Boolean()                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         # Define the current state and coin inserted flag                                                                                                                                          │
           │         self.current_state = self.state_type()                                                                                                                                                     │
           │         self.coin_inserted = self.boolean_type()                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         # Define user actions as inputs                                                                                                                                                            │
           │         self.insert_coin = self.boolean_type()                                                                                                                                                     │
           │         self.choose_soda = self.boolean_type()                                                                                                                                                     │
           │         self.choose_beer = self.boolean_type()                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         # Initialize the machine state to 'pay' and no coin inserted                                                                                                                               │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         # Define state transitions based on user actions                                                                                                                                           │
           │         if self.current_state == self.state_type.pay:                                                                                                                                              │
           │             if self.insert_coin:                                                                                                                                                                   │
           │                 self.current_state = self.state_type.select                                                                                                                                        │
           │                 self.coin_inserted = True                                                                                                                                                          │
           │         elif self.current_state == self.state_type.select:                                                                                                                                         │
           │             if self.choose_soda and self.coin_inserted:                                                                                                                                            │
           │                 self.current_state = self.state_type.soda                                                                                                                                          │
           │             elif self.choose_beer and self.coin_inserted:                                                                                                                                          │
           │                 self.current_state = self.state_type.beer                                                                                                                                          │
           │         elif self.current_state in :                                                                                                                                                               │
           │             # After dispensing, return to the initial state                                                                                                                                        │
           │             self.current_state = self.state_type.pay                                                                                                                                               │
           │             self.coin_inserted = False                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # LTL Property: A drink is dispensed only after a coin has been inserted                                                                                                                   │
           │         # This translates to checking no transition to 'soda' or 'beer' without coin_inserted being True                                                                                           │
           │         if self.current_state == self.state_type.select and not self.coin_inserted:                                                                                                                │
           │             if self.choose_soda or self.choose_beer:                                                                                                                                               │
           │                 return False                                                                                                                                                                       │
           │         return True                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ vm = VendingMachine()                                                                                                                                                                              │
           │ vm.types()                                                                                                                                                                                         │
           │ vm.locals()                                                                                                                                                                                        │
           │ vm.inputs()                                                                                                                                                                                        │
           │ vm.init()                                                                                                                                                                                          │
           │ vm.next()                                                                                                                                                                                          │
           │ assert vm.specification()                                                                                                                                                                          │
           │ ```                                                                                                                                                                                                │
           │ This code defines a simple model of a vending machine using an abstract `Module` class provided beforehand. The machine works with states and transitions based on user and machine actions. The   │
           │ `specification` method checks an essential correctness property that ensures beverages are dispensed only after payment. The transitions are modeled within the `next()` method using conditionals │
           │ that depend on the current machine state and user actions.                                                                                                                                         │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭───────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────╮                                                                                           utils.py:24
           │                                                                                                          │
           │ class VendingMachine(Module):                                                                            │
           │                                                                                                          │
           │     def types(self):                                                                                     │
           │         # Define state and boolean type                                                                  │
           │         self.state_type = Enum('S', ['pay', 'select', 'soda', 'beer'])                                   │
           │         self.boolean_type = Boolean()                                                                    │
           │                                                                                                          │
           │     def locals(self):                                                                                    │
           │         # Define the current state and coin inserted flag                                                │
           │         self.current_state = self.state_type()                                                           │
           │         self.coin_inserted = self.boolean_type()                                                         │
           │                                                                                                          │
           │     def inputs(self):                                                                                    │
           │         # Define user actions as inputs                                                                  │
           │         self.insert_coin = self.boolean_type()                                                           │
           │         self.choose_soda = self.boolean_type()                                                           │
           │         self.choose_beer = self.boolean_type()                                                           │
           │                                                                                                          │
           │     def init(self):                                                                                      │
           │         # Initialize the machine state to 'pay' and no coin inserted                                     │
           │         self.current_state = self.state_type.pay                                                         │
           │         self.coin_inserted = False                                                                       │
           │                                                                                                          │
           │     def next(self):                                                                                      │
           │         # Define state transitions based on user actions                                                 │
           │         if self.current_state == self.state_type.pay:                                                    │
           │             if self.insert_coin:                                                                         │
           │                 self.current_state = self.state_type.select                                              │
           │                 self.coin_inserted = True                                                                │
           │         elif self.current_state == self.state_type.select:                                               │
           │             if self.choose_soda and self.coin_inserted:                                                  │
           │                 self.current_state = self.state_type.soda                                                │
           │             elif self.choose_beer and self.coin_inserted:                                                │
           │                 self.current_state = self.state_type.beer                                                │
           │         elif self.current_state in :                                                                     │
           │             # After dispensing, return to the initial state                                              │
           │             self.current_state = self.state_type.pay                                                     │
           │             self.coin_inserted = False                                                                   │
           │                                                                                                          │
           │     def specification(self):                                                                             │
           │         # LTL Property: A drink is dispensed only after a coin has been inserted                         │
           │         # This translates to checking no transition to 'soda' or 'beer' without coin_inserted being True │
           │         if self.current_state == self.state_type.select and not self.coin_inserted:                      │
           │             if self.choose_soda or self.choose_beer:                                                     │
           │                 return False                                                                             │
           │         return True                                                                                      │
           │                                                                                                          │
           │ vm = VendingMachine()                                                                                    │
           │ vm.types()                                                                                               │
           │ vm.locals()                                                                                              │
           │ vm.inputs()                                                                                              │
           │ vm.init()                                                                                                │
           │ vm.next()                                                                                                │
           │ assert vm.specification()                                                                                │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:17] ╭────────────────────────────── 🤖 Repaired: ──────────────────────────────╮                                                                                                                           utils.py:24
           │ class VendingMachine(Module):                                            │
           │   def types(self):                                                       │
           │     self.state_type = Enum("beer", "pay", "select", "soda")              │
           │                                                                          │
           │   def locals(self):                                                      │
           │     self.current_state = self.state_type                                 │
           │     self.coin_inserted = bool                                            │
           │                                                                          │
           │   def inputs(self):                                                      │
           │     self.insert_coin = bool                                              │
           │     self.choose_soda = bool                                              │
           │     self.choose_beer = bool                                              │
           │                                                                          │
           │   def init(self):                                                        │
           │     self.current_state = "pay"                                           │
           │     self.coin_inserted = False                                           │
           │                                                                          │
           │   def next(self):                                                        │
           │     if (self.current_state == "pay"):                                    │
           │       if self.insert_coin:                                               │
           │         self.current_state = "select"                                    │
           │         self.coin_inserted = True                                        │
           │     else:                                                                │
           │       if (self.current_state == "select"):                               │
           │         if (self.choose_soda and self.coin_inserted):                    │
           │           self.current_state = "soda"                                    │
           │         else:                                                            │
           │           if (self.choose_beer and self.coin_inserted):                  │
           │             self.current_state = "beer"                                  │
           │       else:                                                              │
           │         if ??:                                                           │
           │           self.current_state = "pay"                                     │
           │           self.coin_inserted = False                                     │
           │                                                                          │
           │   def specification(self):                                               │
           │     return ((self.current_state == "select") and not self.coin_inserted) │
           │                                                                          │
           │                                                                          │
           ╰──────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │   def types(self):                                                                                                                                                                                 │
           │     self.state_type = Enum("beer", "pay", "select", "soda")                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.current_state = self.state_type                                                                                                                                                           │
           │     self.coin_inserted = bool                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │   def inputs(self):                                                                                                                                                                                │
           │     self.insert_coin = bool                                                                                                                                                                        │
           │     self.choose_soda = bool                                                                                                                                                                        │
           │     self.choose_beer = bool                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_state = "pay"                                                                                                                                                                     │
           │     self.coin_inserted = False                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.current_state == "pay"):                                                                                                                                                              │
           │       if self.insert_coin:                                                                                                                                                                         │
           │         self.current_state = "select"                                                                                                                                                              │
           │         self.coin_inserted = True                                                                                                                                                                  │
           │     else:                                                                                                                                                                                          │
           │       if (self.current_state == "select"):                                                                                                                                                         │
           │         if (self.choose_soda and self.coin_inserted):                                                                                                                                              │
           │           self.current_state = "soda"                                                                                                                                                              │
           │         else:                                                                                                                                                                                      │
           │           if (self.choose_beer and self.coin_inserted):                                                                                                                                            │
           │             self.current_state = "beer"                                                                                                                                                            │
           │       else:                                                                                                                                                                                        │
           │         if ??:                                                                                                                                                                                     │
           │           self.current_state = "pay"                                                                                                                                                               │
           │           self.coin_inserted = False                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return ((self.current_state == "select") and not self.coin_inserted)                                                                                                                           │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a preliminary design of a beverage vending machine. The machine can either deliver beer or soda. The state space is S = { pay , select , soda , beer }. The set of initial states consists │
           │ of only one state, i.e., I = { pay }. The (user) action insert coin denotes the insertion of a coin, while the (machine) actions get soda and get beer denote the delivery of soda and beer,       │
           │ respectively. Use the variable names pay, select, soda and beer. Write an LTL property that checks that the vending machine only delivers a drink after being provided with a coin. You may        │
           │ introduce auxiliary variables to do this if you need to.                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:37] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations."""                                                                                                                                            │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types."""                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types."""                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types."""                                                                                                                             │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types."""                                                                                                                             │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules."""                                                                                                                                   │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized."""                                                                                                                                    │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation."""                                                                                                                                          │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block."""                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ from enum import Enum                                                                                                                                                                              │
           │                                                                                                                                                                                                    │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │     def types(self):                                                                                                                                                                               │
           │         self.state_type = Enum("State", "pay select soda beer")                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = bool                                                                                                                                                                  │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.insert_coin = bool                                                                                                                                                                    │
           │         self.choose_soda = bool                                                                                                                                                                    │
           │         self.choose_beer = bool                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.current_state == self.state_type.pay:                                                                                                                                              │
           │             if self.insert_coin:                                                                                                                                                                   │
           │                 self.current_state = self.state_type.select                                                                                                                                        │
           │                 self.coin_inserted = True                                                                                                                                                          │
           │         elif self.current_state == self.state_type.select:                                                                                                                                         │
           │             if self.choose_soda and self.coin_inserted:                                                                                                                                            │
           │                 self.current_state = self.state_type.soda                                                                                                                                          │
           │             elif self.choose_beer and self.coin_inserted:                                                                                                                                          │
           │                 self.current_state = self.state_type.beer                                                                                                                                          │
           │         else:                                                                                                                                                                                      │
           │             if self.current_state in {self.state_type.soda, self.state_type.beer}:                                                                                                                 │
           │                 self.current_state = self.state_type.pay                                                                                                                                           │
           │                 self.coin_inserted = False                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Checks if the machine delivers a drink only after a coin has been inserted                                                                                                               │
           │         return ((self.current_state == self.state_type.soda or self.current_state == self.state_type.beer) implies self.coin_inserted)                                                             │
           │                                                                                                                                                                                                    │
           │ # Use of `implies` in the specification to define a logical implication condition.                                                                                                                 │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ In this code, I have fixed the missing condition in the `next` function by checking if the current state is either "soda" or "beer", which is the time when the machine needs to reset to the      │
           │ "pay" state. Additionally I introduced the correct use of `Enum` and boolean conditions. Let me know if I can help with anything else!                                                             │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────── 🤖 Extracted: ─────────────────────────────────────────────────────────────╮                                                             utils.py:24
           │                                                                                                                                        │
           │ class Module:                                                                                                                          │
           │     """An abstract class to represent a UCLID5 module."""                                                                              │
           │                                                                                                                                        │
           │     def types(self):                                                                                                                   │
           │         """(Optional) Defines the type declarations."""                                                                                │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def locals(self):                                                                                                                  │
           │         """(Optional) Defines the local variables and their types."""                                                                  │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def inputs(self):                                                                                                                  │
           │         """(Optional) Defines the input variables and their types."""                                                                  │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def outputs(self):                                                                                                                 │
           │         """(Optional) Defines the output variables and their types."""                                                                 │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def shared_vars(self):                                                                                                             │
           │         """(Optional) Defines the shared variables and their types."""                                                                 │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def instances(self):                                                                                                               │
           │         """(Optional) Defines the instances of other modules."""                                                                       │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def init(self):                                                                                                                    │
           │         """(Optional) Defines how variables are initialized."""                                                                        │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def next(self):                                                                                                                    │
           │         """(Optional) Defines the transition relation."""                                                                              │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def specification(self):                                                                                                           │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                      │
           │                                                                                                                                        │
           │         Returns:                                                                                                                       │
           │             bool: True if the specification is satisfied, False otherwise.                                                             │
           │         """                                                                                                                            │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │     def proof(self):                                                                                                                   │
           │         """(Optional) Defines the control block."""                                                                                    │
           │         pass                                                                                                                           │
           │                                                                                                                                        │
           │ from enum import Enum                                                                                                                  │
           │                                                                                                                                        │
           │ class VendingMachine(Module):                                                                                                          │
           │     def types(self):                                                                                                                   │
           │         self.state_type = Enum("State", "pay select soda beer")                                                                        │
           │                                                                                                                                        │
           │     def locals(self):                                                                                                                  │
           │         self.current_state = self.state_type.pay                                                                                       │
           │         self.coin_inserted = bool                                                                                                      │
           │                                                                                                                                        │
           │     def inputs(self):                                                                                                                  │
           │         self.insert_coin = bool                                                                                                        │
           │         self.choose_soda = bool                                                                                                        │
           │         self.choose_beer = bool                                                                                                        │
           │                                                                                                                                        │
           │     def init(self):                                                                                                                    │
           │         self.current_state = self.state_type.pay                                                                                       │
           │         self.coin_inserted = False                                                                                                     │
           │                                                                                                                                        │
           │     def next(self):                                                                                                                    │
           │         if self.current_state == self.state_type.pay:                                                                                  │
           │             if self.insert_coin:                                                                                                       │
           │                 self.current_state = self.state_type.select                                                                            │
           │                 self.coin_inserted = True                                                                                              │
           │         elif self.current_state == self.state_type.select:                                                                             │
           │             if self.choose_soda and self.coin_inserted:                                                                                │
           │                 self.current_state = self.state_type.soda                                                                              │
           │             elif self.choose_beer and self.coin_inserted:                                                                              │
           │                 self.current_state = self.state_type.beer                                                                              │
           │         else:                                                                                                                          │
           │             if self.current_state in {self.state_type.soda, self.state_type.beer}:                                                     │
           │                 self.current_state = self.state_type.pay                                                                               │
           │                 self.coin_inserted = False                                                                                             │
           │                                                                                                                                        │
           │     def specification(self):                                                                                                           │
           │         # Checks if the machine delivers a drink only after a coin has been inserted                                                   │
           │         return ((self.current_state == self.state_type.soda or self.current_state == self.state_type.beer) implies self.coin_inserted) │
           │                                                                                                                                        │
           │ # Use of `implies` in the specification to define a logical implication condition.                                                     │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:38] ╭──────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────╮                                                                                                              utils.py:24
           │ class Module(Module):                                                                 │
           │   def next(self):                                                                     │
           │     ??                                                                                │
           │                                                                                       │
           │ class VendingMachine(Module):                                                         │
           │   def locals(self):                                                                   │
           │     self.current_state = int                                                          │
           │     self.state_type = Record(('select', ??), ('pay', ??), ('soda', ??), ('beer', ??)) │
           │     self.coin_inserted = bool                                                         │
           │                                                                                       │
           │   def inputs(self):                                                                   │
           │     self.insert_coin = bool                                                           │
           │     self.choose_soda = bool                                                           │
           │     self.choose_beer = bool                                                           │
           │                                                                                       │
           │   def init(self):                                                                     │
           │     self.current_state = self.state_type.pay                                          │
           │     self.coin_inserted = False                                                        │
           │                                                                                       │
           │   def next(self):                                                                     │
           │     if (self.current_state == self.state_type.pay):                                   │
           │       if self.insert_coin:                                                            │
           │         self.current_state = self.state_type.select                                   │
           │         self.coin_inserted = True                                                     │
           │     else:                                                                             │
           │       if (self.current_state == self.state_type.select):                              │
           │         if (self.choose_soda and self.coin_inserted):                                 │
           │           self.current_state = self.state_type.soda                                   │
           │         else:                                                                         │
           │           if (self.choose_beer and self.coin_inserted):                               │
           │             self.current_state = self.state_type.beer                                 │
           │       else:                                                                           │
           │         if ??:                                                                        │
           │           self.current_state = self.state_type.pay                                    │
           │           self.coin_inserted = False                                                  │
           │                                                                                       │
           │   def specification(self):                                                            │
           │     return ??                                                                         │
           │                                                                                       │
           │                                                                                       │
           ╰───────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class Module(Module):                                                                                                                                                                              │
           │   def next(self):                                                                                                                                                                                  │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.current_state = int                                                                                                                                                                       │
           │     self.state_type = Record(('select', ??), ('pay', ??), ('soda', ??), ('beer', ??))                                                                                                              │
           │     self.coin_inserted = bool                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │   def inputs(self):                                                                                                                                                                                │
           │     self.insert_coin = bool                                                                                                                                                                        │
           │     self.choose_soda = bool                                                                                                                                                                        │
           │     self.choose_beer = bool                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_state = self.state_type.pay                                                                                                                                                       │
           │     self.coin_inserted = False                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.current_state == self.state_type.pay):                                                                                                                                                │
           │       if self.insert_coin:                                                                                                                                                                         │
           │         self.current_state = self.state_type.select                                                                                                                                                │
           │         self.coin_inserted = True                                                                                                                                                                  │
           │     else:                                                                                                                                                                                          │
           │       if (self.current_state == self.state_type.select):                                                                                                                                           │
           │         if (self.choose_soda and self.coin_inserted):                                                                                                                                              │
           │           self.current_state = self.state_type.soda                                                                                                                                                │
           │         else:                                                                                                                                                                                      │
           │           if (self.choose_beer and self.coin_inserted):                                                                                                                                            │
           │             self.current_state = self.state_type.beer                                                                                                                                              │
           │       else:                                                                                                                                                                                        │
           │         if ??:                                                                                                                                                                                     │
           │           self.current_state = self.state_type.pay                                                                                                                                                 │
           │           self.coin_inserted = False                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return ??                                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a preliminary design of a beverage vending machine. The machine can either deliver beer or soda. The state space is S = { pay , select , soda , beer }. The set of initial states consists │
           │ of only one state, i.e., I = { pay }. The (user) action insert coin denotes the insertion of a coin, while the (machine) actions get soda and get beer denote the delivery of soda and beer,       │
           │ respectively. Use the variable names pay, select, soda and beer. Write an LTL property that checks that the vending machine only delivers a drink after being provided with a coin. You may        │
           │ introduce auxiliary variables to do this if you need to.                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:51] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     def next(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │     def types(self):                                                                                                                                                                               │
           │         self.state_type = Record(('pay', Integer()), ('select', Integer()),                                                                                                                        │
           │                                  ('soda', Integer()), ('beer', Integer()))                                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.current_state = Integer()                                                                                                                                                             │
           │         self.coin_inserted = Boolean()                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.insert_coin = Boolean()                                                                                                                                                               │
           │         self.choose_soda = Boolean()                                                                                                                                                               │
           │         self.choose_beer = Boolean()                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.current_state == self.state_type.pay:                                                                                                                                              │
           │             if self.insert_coin:                                                                                                                                                                   │
           │                 self.current_state = self.state_type.select                                                                                                                                        │
           │                 self.coin_inserted = True                                                                                                                                                          │
           │         elif self.current_state == self.state_type.select:                                                                                                                                         │
           │             if self.choose_soda and self.coin_inserted:                                                                                                                                            │
           │                 self.current_state = self.state_type.soda                                                                                                                                          │
           │             elif self.choose_beer and self.coin_inserted:                                                                                                                                          │
           │                 self.current_state = self.state_type.beer                                                                                                                                          │
           │         elif self.current_state == self.state_type.soda or self.current_state == self.state_type.beer:                                                                                             │
           │             self.current_state = self.state_type.pay                                                                                                                                               │
           │             self.coin_inserted = False                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # This specification asserts that the machine will not dispense a beverage unless a coin has been inserted                                                                                 │
           │         # and subsequently a selection made.                                                                                                                                                       │
           │         return Implies(Or(self.current_state == self.state_type.soda, self.current_state == self.state_type.beer),                                                                                 │
           │                        self.coin_inserted)                                                                                                                                                         │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ This corrected Python code represents the VendingMachine class based on your specifications, incorporating a method for defining state types, input, local, and initial state setups, state        │
           │ transitions, and the necessary specifications. It defines the actions and states of a beverage vending machine and checks the condition that a drink can only be delivered after a coin has been   │
           │ inserted.                                                                                                                                                                                          │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────────────────────────── 🤖 Extracted: ───────────────────────────────────────────────────╮                                                                                utils.py:24
           │                                                                                                                     │
           │ class Module:                                                                                                       │
           │     def next(self):                                                                                                 │
           │         pass                                                                                                        │
           │                                                                                                                     │
           │ class VendingMachine(Module):                                                                                       │
           │     def types(self):                                                                                                │
           │         self.state_type = Record(('pay', Integer()), ('select', Integer()),                                         │
           │                                  ('soda', Integer()), ('beer', Integer()))                                          │
           │                                                                                                                     │
           │     def locals(self):                                                                                               │
           │         self.current_state = Integer()                                                                              │
           │         self.coin_inserted = Boolean()                                                                              │
           │                                                                                                                     │
           │     def inputs(self):                                                                                               │
           │         self.insert_coin = Boolean()                                                                                │
           │         self.choose_soda = Boolean()                                                                                │
           │         self.choose_beer = Boolean()                                                                                │
           │                                                                                                                     │
           │     def init(self):                                                                                                 │
           │         self.current_state = self.state_type.pay                                                                    │
           │         self.coin_inserted = False                                                                                  │
           │                                                                                                                     │
           │     def next(self):                                                                                                 │
           │         if self.current_state == self.state_type.pay:                                                               │
           │             if self.insert_coin:                                                                                    │
           │                 self.current_state = self.state_type.select                                                         │
           │                 self.coin_inserted = True                                                                           │
           │         elif self.current_state == self.state_type.select:                                                          │
           │             if self.choose_soda and self.coin_inserted:                                                             │
           │                 self.current_state = self.state_type.soda                                                           │
           │             elif self.choose_beer and self.coin_inserted:                                                           │
           │                 self.current_state = self.state_type.beer                                                           │
           │         elif self.current_state == self.state_type.soda or self.current_state == self.state_type.beer:              │
           │             self.current_state = self.state_type.pay                                                                │
           │             self.coin_inserted = False                                                                              │
           │                                                                                                                     │
           │     def specification(self):                                                                                        │
           │         # This specification asserts that the machine will not dispense a beverage unless a coin has been inserted  │
           │         # and subsequently a selection made.                                                                        │
           │         return Implies(Or(self.current_state == self.state_type.soda, self.current_state == self.state_type.beer),  │
           │                        self.coin_inserted)                                                                          │
           ╰─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:22:52] ╭───────────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────────╮                                                             utils.py:24
           │ class VendingMachine(Module):                                                                                                          │
           │   def locals(self):                                                                                                                    │
           │     self.state_type = Record(('beer', ??), ('pay', ??), ('soda', ??), ('select', ??))                                                  │
           │     self.current_state = int                                                                                                           │
           │     self.coin_inserted = bool                                                                                                          │
           │                                                                                                                                        │
           │   def inputs(self):                                                                                                                    │
           │     self.insert_coin = bool                                                                                                            │
           │     self.choose_soda = bool                                                                                                            │
           │     self.choose_beer = bool                                                                                                            │
           │                                                                                                                                        │
           │   def init(self):                                                                                                                      │
           │     self.current_state = self.state_type.pay                                                                                           │
           │     self.coin_inserted = False                                                                                                         │
           │                                                                                                                                        │
           │   def next(self):                                                                                                                      │
           │     if (self.current_state == self.state_type.pay):                                                                                    │
           │       if self.insert_coin:                                                                                                             │
           │         self.current_state = self.state_type.select                                                                                    │
           │         self.coin_inserted = True                                                                                                      │
           │     else:                                                                                                                              │
           │       if (self.current_state == self.state_type.select):                                                                               │
           │         if (self.choose_soda and self.coin_inserted):                                                                                  │
           │           self.current_state = self.state_type.soda                                                                                    │
           │         else:                                                                                                                          │
           │           if (self.choose_beer and self.coin_inserted):                                                                                │
           │             self.current_state = self.state_type.beer                                                                                  │
           │       else:                                                                                                                            │
           │         if ((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)):                             │
           │           self.current_state = self.state_type.pay                                                                                     │
           │           self.coin_inserted = False                                                                                                   │
           │                                                                                                                                        │
           │   def specification(self):                                                                                                             │
           │     return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted) │
           │                                                                                                                                        │
           │                                                                                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.state_type = Record(('beer', ??), ('pay', ??), ('soda', ??), ('select', ??))                                                                                                              │
           │     self.current_state = int                                                                                                                                                                       │
           │     self.coin_inserted = bool                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │   def inputs(self):                                                                                                                                                                                │
           │     self.insert_coin = bool                                                                                                                                                                        │
           │     self.choose_soda = bool                                                                                                                                                                        │
           │     self.choose_beer = bool                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_state = self.state_type.pay                                                                                                                                                       │
           │     self.coin_inserted = False                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.current_state == self.state_type.pay):                                                                                                                                                │
           │       if self.insert_coin:                                                                                                                                                                         │
           │         self.current_state = self.state_type.select                                                                                                                                                │
           │         self.coin_inserted = True                                                                                                                                                                  │
           │     else:                                                                                                                                                                                          │
           │       if (self.current_state == self.state_type.select):                                                                                                                                           │
           │         if (self.choose_soda and self.coin_inserted):                                                                                                                                              │
           │           self.current_state = self.state_type.soda                                                                                                                                                │
           │         else:                                                                                                                                                                                      │
           │           if (self.choose_beer and self.coin_inserted):                                                                                                                                            │
           │             self.current_state = self.state_type.beer                                                                                                                                              │
           │       else:                                                                                                                                                                                        │
           │         if ((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)):                                                                                         │
           │           self.current_state = self.state_type.pay                                                                                                                                                 │
           │           self.coin_inserted = False                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted)                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a preliminary design of a beverage vending machine. The machine can either deliver beer or soda. The state space is S = { pay , select , soda , beer }. The set of initial states consists │
           │ of only one state, i.e., I = { pay }. The (user) action insert coin denotes the insertion of a coin, while the (machine) actions get soda and get beer denote the delivery of soda and beer,       │
           │ respectively. Use the variable names pay, select, soda and beer. Write an LTL property that checks that the vending machine only delivers a drink after being provided with a coin. You may        │
           │ introduce auxiliary variables to do this if you need to.                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:23:05] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │     def locals(self):                                                                                                                                                                              │
           │         self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                                                                                  │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = bool                                                                                                                                                                  │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.insert_coin = bool                                                                                                                                                                    │
           │         self.choose_soda = bool                                                                                                                                                                    │
           │         self.choose_beer = bool                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.current_state == self.state_type.pay:                                                                                                                                              │
           │             if self.insert_coin:                                                                                                                                                                   │
           │                 self.current_state = self.state_type.select                                                                                                                                        │
           │                 self.coin_inserted = True                                                                                                                                                          │
           │         elif self.current_state == self.state_type.select:                                                                                                                                         │
           │             if self.choose_soda and self.coin_inserted:                                                                                                                                            │
           │                 self.current_state = self.state_type.soda                                                                                                                                          │
           │             elif self.choose_beer and self.coin_inserted:                                                                                                                                          │
           │                 self.current_state = self.state_type.beer                                                                                                                                          │
           │             else:                                                                                                                                                                                  │
           │                 self.current_state = self.state_type.pay                                                                                                                                           │
           │                 self.coin_inserted = False                                                                                                                                                         │
           │         elif self.current_state in (self.state_type.soda, self.state_type.beer):                                                                                                                   │
           │             self.current_state = self.state_type.pay                                                                                                                                               │
           │             self.coin_inserted = False                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return Implies(                                                                                                                                                                            │
           │             (self.current_state == self.state_type.soda) or                                                                                                                                        │
           │             (self.current_state == self.state_type.beer),                                                                                                                                          │
           │             self.coin_inserted                                                                                                                                                                     │
           │         )                                                                                                                                                                                          │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ Make sure that your `Record` and other features like `Implies` are appropriately defined or imported in your environment as the provided abstract class `Module` does not include these            │
           │ functionalities directly. This python code represents a simple state machine model of a vending machine with a mechanism to handle state transitions based on coin insertion and product           │
           │ selection, assuming that each of these operations are properly synchronized in a real implementation or further specified for correctness verification.                                            │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────╮                                                                                                  utils.py:24
           │                                                                                                   │
           │ class VendingMachine(Module):                                                                     │
           │     def locals(self):                                                                             │
           │         self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool)) │
           │         self.current_state = self.state_type.pay                                                  │
           │         self.coin_inserted = bool                                                                 │
           │                                                                                                   │
           │     def inputs(self):                                                                             │
           │         self.insert_coin = bool                                                                   │
           │         self.choose_soda = bool                                                                   │
           │         self.choose_beer = bool                                                                   │
           │                                                                                                   │
           │     def init(self):                                                                               │
           │         self.current_state = self.state_type.pay                                                  │
           │         self.coin_inserted = False                                                                │
           │                                                                                                   │
           │     def next(self):                                                                               │
           │         if self.current_state == self.state_type.pay:                                             │
           │             if self.insert_coin:                                                                  │
           │                 self.current_state = self.state_type.select                                       │
           │                 self.coin_inserted = True                                                         │
           │         elif self.current_state == self.state_type.select:                                        │
           │             if self.choose_soda and self.coin_inserted:                                           │
           │                 self.current_state = self.state_type.soda                                         │
           │             elif self.choose_beer and self.coin_inserted:                                         │
           │                 self.current_state = self.state_type.beer                                         │
           │             else:                                                                                 │
           │                 self.current_state = self.state_type.pay                                          │
           │                 self.coin_inserted = False                                                        │
           │         elif self.current_state in (self.state_type.soda, self.state_type.beer):                  │
           │             self.current_state = self.state_type.pay                                              │
           │             self.coin_inserted = False                                                            │
           │                                                                                                   │
           │     def specification(self):                                                                      │
           │         return Implies(                                                                           │
           │             (self.current_state == self.state_type.soda) or                                       │
           │             (self.current_state == self.state_type.beer),                                         │
           │             self.coin_inserted                                                                    │
           │         )                                                                                         │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:23:06] ╭───────────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────────╮                                                             utils.py:24
           │ class VendingMachine(Module):                                                                                                          │
           │   def locals(self):                                                                                                                    │
           │     self.current_state = bool                                                                                                          │
           │     self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                          │
           │     self.coin_inserted = bool                                                                                                          │
           │                                                                                                                                        │
           │   def inputs(self):                                                                                                                    │
           │     self.insert_coin = bool                                                                                                            │
           │     self.choose_soda = bool                                                                                                            │
           │     self.choose_beer = bool                                                                                                            │
           │                                                                                                                                        │
           │   def init(self):                                                                                                                      │
           │     self.current_state = self.state_type.pay                                                                                           │
           │     self.coin_inserted = False                                                                                                         │
           │                                                                                                                                        │
           │   def next(self):                                                                                                                      │
           │     if (self.current_state == self.state_type.pay):                                                                                    │
           │       if self.insert_coin:                                                                                                             │
           │         self.current_state = self.state_type.select                                                                                    │
           │         self.coin_inserted = True                                                                                                      │
           │     else:                                                                                                                              │
           │       if (self.current_state == self.state_type.select):                                                                               │
           │         if (self.choose_soda and self.coin_inserted):                                                                                  │
           │           self.current_state = self.state_type.soda                                                                                    │
           │         else:                                                                                                                          │
           │           if (self.choose_beer and self.coin_inserted):                                                                                │
           │             self.current_state = self.state_type.beer                                                                                  │
           │           else:                                                                                                                        │
           │             self.current_state = self.state_type.pay                                                                                   │
           │             self.coin_inserted = False                                                                                                 │
           │       else:                                                                                                                            │
           │         if ??:                                                                                                                         │
           │           self.current_state = self.state_type.pay                                                                                     │
           │           self.coin_inserted = False                                                                                                   │
           │                                                                                                                                        │
           │   def specification(self):                                                                                                             │
           │     return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted) │
           │                                                                                                                                        │
           │                                                                                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.current_state = bool                                                                                                                                                                      │
           │     self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                                                                                      │
           │     self.coin_inserted = bool                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │   def inputs(self):                                                                                                                                                                                │
           │     self.insert_coin = bool                                                                                                                                                                        │
           │     self.choose_soda = bool                                                                                                                                                                        │
           │     self.choose_beer = bool                                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_state = self.state_type.pay                                                                                                                                                       │
           │     self.coin_inserted = False                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.current_state == self.state_type.pay):                                                                                                                                                │
           │       if self.insert_coin:                                                                                                                                                                         │
           │         self.current_state = self.state_type.select                                                                                                                                                │
           │         self.coin_inserted = True                                                                                                                                                                  │
           │     else:                                                                                                                                                                                          │
           │       if (self.current_state == self.state_type.select):                                                                                                                                           │
           │         if (self.choose_soda and self.coin_inserted):                                                                                                                                              │
           │           self.current_state = self.state_type.soda                                                                                                                                                │
           │         else:                                                                                                                                                                                      │
           │           if (self.choose_beer and self.coin_inserted):                                                                                                                                            │
           │             self.current_state = self.state_type.beer                                                                                                                                              │
           │           else:                                                                                                                                                                                    │
           │             self.current_state = self.state_type.pay                                                                                                                                               │
           │             self.coin_inserted = False                                                                                                                                                             │
           │       else:                                                                                                                                                                                        │
           │         if ??:                                                                                                                                                                                     │
           │           self.current_state = self.state_type.pay                                                                                                                                                 │
           │           self.coin_inserted = False                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted)                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a preliminary design of a beverage vending machine. The machine can either deliver beer or soda. The state space is S = { pay , select , soda , beer }. The set of initial states consists │
           │ of only one state, i.e., I = { pay }. The (user) action insert coin denotes the insertion of a coin, while the (machine) actions get soda and get beer denote the delivery of soda and beer,       │
           │ respectively. Use the variable names pay, select, soda and beer. Write an LTL property that checks that the vending machine only delivers a drink after being provided with a coin. You may        │
           │ introduce auxiliary variables to do this if you need to.                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:23:17] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class VendingMachine(Module):                                                                                                                                                                      │
           │     def locals(self):                                                                                                                                                                              │
           │         self.current_state = bool                                                                                                                                                                  │
           │         self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                                                                                  │
           │         self.coin_inserted = bool                                                                                                                                                                  │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.insert_coin = bool                                                                                                                                                                    │
           │         self.choose_soda = bool                                                                                                                                                                    │
           │         self.choose_beer = bool                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_state = self.state_type.pay                                                                                                                                                   │
           │         self.coin_inserted = False                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.current_state == self.state_type.pay:                                                                                                                                              │
           │             if self.insert_coin:                                                                                                                                                                   │
           │                 self.current_state = self.state_type.select                                                                                                                                        │
           │                 self.coin_inserted = True                                                                                                                                                          │
           │         elif self.current_state == self.state_type.select:                                                                                                                                         │
           │             if self.choose_soda and self.coin_inserted:                                                                                                                                            │
           │                 self.current_state = self.state_type.soda                                                                                                                                          │
           │             elif self.choose_beer and self.coin_inserted:                                                                                                                                          │
           │                 self.current_state = self.state_type.beer                                                                                                                                          │
           │             else:                                                                                                                                                                                  │
           │                 self.current_state = self.state_type.pay                                                                                                                                           │
           │                 self.coin_inserted = False                                                                                                                                                         │
           │         elif self.current_state in :                                                                                                                                                               │
           │             self.current_state = self.state_type.pay                                                                                                                                               │
           │             self.coin_inserted = False                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted)                                                         │
           │ ```                                                                                                                                                                                                │
           │ This code models a simple vending machine system. It has states to represent payment mode, selection, and dispensing beer or soda. The next transition relation updates the state based on inputs  │
           │ (coin insertion or drink selection), and there's a safety property ensuring drinks are only dispensed if a coin was inserted.                                                                      │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────────────────────── 🤖 Extracted: ───────────────────────────────────────────────────────────────╮                                                         utils.py:24
           │                                                                                                                                            │
           │ class VendingMachine(Module):                                                                                                              │
           │     def locals(self):                                                                                                                      │
           │         self.current_state = bool                                                                                                          │
           │         self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                          │
           │         self.coin_inserted = bool                                                                                                          │
           │                                                                                                                                            │
           │     def inputs(self):                                                                                                                      │
           │         self.insert_coin = bool                                                                                                            │
           │         self.choose_soda = bool                                                                                                            │
           │         self.choose_beer = bool                                                                                                            │
           │                                                                                                                                            │
           │     def init(self):                                                                                                                        │
           │         self.current_state = self.state_type.pay                                                                                           │
           │         self.coin_inserted = False                                                                                                         │
           │                                                                                                                                            │
           │     def next(self):                                                                                                                        │
           │         if self.current_state == self.state_type.pay:                                                                                      │
           │             if self.insert_coin:                                                                                                           │
           │                 self.current_state = self.state_type.select                                                                                │
           │                 self.coin_inserted = True                                                                                                  │
           │         elif self.current_state == self.state_type.select:                                                                                 │
           │             if self.choose_soda and self.coin_inserted:                                                                                    │
           │                 self.current_state = self.state_type.soda                                                                                  │
           │             elif self.choose_beer and self.coin_inserted:                                                                                  │
           │                 self.current_state = self.state_type.beer                                                                                  │
           │             else:                                                                                                                          │
           │                 self.current_state = self.state_type.pay                                                                                   │
           │                 self.coin_inserted = False                                                                                                 │
           │         elif self.current_state in :                                                                                                       │
           │             self.current_state = self.state_type.pay                                                                                       │
           │             self.coin_inserted = False                                                                                                     │
           │                                                                                                                                            │
           │     def specification(self):                                                                                                               │
           │         return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted) │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:23:18] ╭───────────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────────╮                                                             utils.py:24
           │ class VendingMachine(Module):                                                                                                          │
           │   def locals(self):                                                                                                                    │
           │     self.current_state = bool                                                                                                          │
           │     self.state_type = Record(('beer', bool), ('pay', bool), ('soda', bool), ('select', bool))                                          │
           │     self.coin_inserted = bool                                                                                                          │
           │                                                                                                                                        │
           │   def inputs(self):                                                                                                                    │
           │     self.insert_coin = bool                                                                                                            │
           │     self.choose_soda = bool                                                                                                            │
           │     self.choose_beer = bool                                                                                                            │
           │                                                                                                                                        │
           │   def init(self):                                                                                                                      │
           │     self.current_state = self.state_type.pay                                                                                           │
           │     self.coin_inserted = False                                                                                                         │
           │                                                                                                                                        │
           │   def next(self):                                                                                                                      │
           │     if (self.current_state == self.state_type.pay):                                                                                    │
           │       if self.insert_coin:                                                                                                             │
           │         self.current_state = self.state_type.select                                                                                    │
           │         self.coin_inserted = True                                                                                                      │
           │     else:                                                                                                                              │
           │       if (self.current_state == self.state_type.select):                                                                               │
           │         if (self.choose_soda and self.coin_inserted):                                                                                  │
           │           self.current_state = self.state_type.soda                                                                                    │
           │         else:                                                                                                                          │
           │           if (self.choose_beer and self.coin_inserted):                                                                                │
           │             self.current_state = self.state_type.beer                                                                                  │
           │           else:                                                                                                                        │
           │             self.current_state = self.state_type.pay                                                                                   │
           │             self.coin_inserted = False                                                                                                 │
           │       else:                                                                                                                            │
           │         if ??:                                                                                                                         │
           │           self.current_state = self.state_type.pay                                                                                     │
           │           self.coin_inserted = False                                                                                                   │
           │                                                                                                                                        │
           │   def specification(self):                                                                                                             │
           │     return Implies(((self.current_state == self.state_type.soda) or (self.current_state == self.state_type.beer)), self.coin_inserted) │
           │                                                                                                                                        │
           │                                                                                                                                        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 55     │
           │ Final Lines:    38     │
           │ LLM Calls:      5      │
           │ LLM Time:       72.72s │
           │ Repair Time:    3.87s  │
           ╰────────────────────────╯
