[22:38:35] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Model a system that counts the number of cars that enter and leave a parking garage in order to keep track of how many cars are in the garage at any time. Assume that an ArrivalDetector actor  │
           │ produces an event when a car arrives, and a DepartureDetector actor produces an event when a car departs. The Counter actor keeps a running count, starting from an initial value i. Each time the │
           │ count changes, it produces an output event that updates a display. Use the variable names arrival, departure and counter.                                                                          │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:38:47] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class ParkingCounter(Module):                                                                                                                                                                      │
           │     def types(self):                                                                                                                                                                               │
           │         self.Integer = int  # Define basic integer type                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.current_count = 0  # Tracks the current number of cars in the garage                                                                                                                  │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.arrival = False  # Event signal for a car arriving                                                                                                                                    │
           │         self.departure = False  # Event signal for a car departing                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         self.display_count = 0  # Output variable to track and display the count                                                                                                                   │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_count = 0  # Initialize the car count                                                                                                                                         │
           │         self.display_count = 0  # Initialize the display of the car count                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.arrival:                                                                                                                                                                           │
           │             self.current_count += 1                                                                                                                                                                │
           │         if self.departure:                                                                                                                                                                         │
           │             self.current_count -= 1                                                                                                                                                                │
           │         self.display_count = self.current_count  # Update the display with the new count                                                                                                           │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return self.current_count >= 0  # The number of cars should never be negative                                                                                                              │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         # Assume initial count is valid (non-negative)                                                                                                                                             │
           │         # Prove that the specification holds with a simple proof that the next state is always valid.                                                                                              │
           │         if self.current_count < 0:                                                                                                                                                                 │
           │             raise AssertionError("Count should never be negative")                                                                                                                                 │
           │         # No structured proof system assumed - just a basic validation                                                                                                                             │
           │                                                                                                                                                                                                    │
           │ # Example usage:                                                                                                                                                                                   │
           │ # Instantiate the module and simulate some events                                                                                                                                                  │
           │ parking = ParkingCounter()                                                                                                                                                                         │
           │ parking.init()                                                                                                                                                                                     │
           │ parking.arrival = True                                                                                                                                                                             │
           │ parking.next()                                                                                                                                                                                     │
           │ parking.arrival = False  # Reset arrival flag                                                                                                                                                      │
           │ parking.departure = True                                                                                                                                                                           │
           │ parking.next()                                                                                                                                                                                     │
           │ parking.departure = False  # Reset departure flag                                                                                                                                                  │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ This extension of the `Module` class models a parking garage car counter. The system increments the count on car arrivals, decrements it on departures, and updates a display with the current     │
           │ count. Additionally, it ensures the count never turns negative as a basic invariant property. The proof method in the module checks that the invariant holds true after every state change.        │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────── 🤖 Extracted: ────────────────────────────────────────────╮                                                                                              utils.py:24
           │                                                                                                       │
           │ class ParkingCounter(Module):                                                                         │
           │     def types(self):                                                                                  │
           │         self.Integer = int  # Define basic integer type                                               │
           │                                                                                                       │
           │     def locals(self):                                                                                 │
           │         self.current_count = 0  # Tracks the current number of cars in the garage                     │
           │                                                                                                       │
           │     def inputs(self):                                                                                 │
           │         self.arrival = False  # Event signal for a car arriving                                       │
           │         self.departure = False  # Event signal for a car departing                                    │
           │                                                                                                       │
           │     def outputs(self):                                                                                │
           │         self.display_count = 0  # Output variable to track and display the count                      │
           │                                                                                                       │
           │     def init(self):                                                                                   │
           │         self.current_count = 0  # Initialize the car count                                            │
           │         self.display_count = 0  # Initialize the display of the car count                             │
           │                                                                                                       │
           │     def next(self):                                                                                   │
           │         if self.arrival:                                                                              │
           │             self.current_count += 1                                                                   │
           │         if self.departure:                                                                            │
           │             self.current_count -= 1                                                                   │
           │         self.display_count = self.current_count  # Update the display with the new count              │
           │                                                                                                       │
           │     def specification(self):                                                                          │
           │         return self.current_count >= 0  # The number of cars should never be negative                 │
           │                                                                                                       │
           │     def proof(self):                                                                                  │
           │         # Assume initial count is valid (non-negative)                                                │
           │         # Prove that the specification holds with a simple proof that the next state is always valid. │
           │         if self.current_count < 0:                                                                    │
           │             raise AssertionError("Count should never be negative")                                    │
           │         # No structured proof system assumed - just a basic validation                                │
           │                                                                                                       │
           │ # Example usage:                                                                                      │
           │ # Instantiate the module and simulate some events                                                     │
           │ parking = ParkingCounter()                                                                            │
           │ parking.init()                                                                                        │
           │ parking.arrival = True                                                                                │
           │ parking.next()                                                                                        │
           │ parking.arrival = False  # Reset arrival flag                                                         │
           │ parking.departure = True                                                                              │
           │ parking.next()                                                                                        │
           │ parking.departure = False  # Reset departure flag                                                     │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────── 🤖 Repaired: ────────────────────╮                                                                                                                                                utils.py:24
           │ class ParkingCounter(Module):                       │
           │   def locals(self):                                 │
           │     self.arrival = bool                             │
           │     self.current_count = int                        │
           │     self.departure = bool                           │
           │     self.display_count = int                        │
           │                                                     │
           │   def init(self):                                   │
           │     self.current_count = 0                          │
           │     self.display_count = 0                          │
           │                                                     │
           │   def next(self):                                   │
           │     if self.arrival:                                │
           │       self.current_count = (self.current_count + 1) │
           │     if self.departure:                              │
           │       self.current_count = (self.current_count - 1) │
           │     self.display_count = self.current_count         │
           │                                                     │
           │   def specification(self):                          │
           │     return (self.current_count >= 0)                │
           │                                                     │
           │   def proof(self):                                  │
           │     ??                                              │
           │                                                     │
           │                                                     │
           ╰─────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class ParkingCounter(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.arrival = bool                                                                                                                                                                            │
           │     self.current_count = int                                                                                                                                                                       │
           │     self.departure = bool                                                                                                                                                                          │
           │     self.display_count = int                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_count = 0                                                                                                                                                                         │
           │     self.display_count = 0                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if self.arrival:                                                                                                                                                                               │
           │       self.current_count = (self.current_count + 1)                                                                                                                                                │
           │     if self.departure:                                                                                                                                                                             │
           │       self.current_count = (self.current_count - 1)                                                                                                                                                │
           │     self.display_count = self.current_count                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.current_count >= 0)                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a system that counts the number of cars that enter and leave a parking garage in order to keep track of how many cars are in the garage at any time. Assume that an ArrivalDetector actor  │
           │ produces an event when a car arrives, and a DepartureDetector actor produces an event when a car departs. The Counter actor keeps a running count, starting from an initial value i. Each time the │
           │ count changes, it produces an output event that updates a display. Use the variable names arrival, departure and counter.                                                                          │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:38:58] ╭────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────╮                                                                                          utils.py:42
           │ ```python                                                                                                 │
           │ class Module:                                                                                             │
           │     """An abstract class to represent a UCLID5 module."""                                                 │
           │                                                                                                           │
           │     def locals(self):                                                                                     │
           │         """Defines the local variables and their types."""                                                │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def init(self):                                                                                       │
           │         """Defines how variables are initialized."""                                                      │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def next(self):                                                                                       │
           │         """Defines the transition relation."""                                                            │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def specification(self):                                                                              │
           │         """Defines the specification in terms of invariant properties."""                                 │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def proof(self):                                                                                      │
           │         """Defines the control block."""                                                                  │
           │         pass                                                                                              │
           │                                                                                                           │
           │ class ParkingCounter(Module):                                                                             │
           │     def locals(self):                                                                                     │
           │         self.arrival = bool                                                                               │
           │         self.departure = bool                                                                             │
           │         self.current_count = int                                                                          │
           │         self.display_count = int                                                                          │
           │                                                                                                           │
           │     def init(self):                                                                                       │
           │         self.current_count = 0  # Initialize the count of cars                                            │
           │         self.display_count = 0  # Initialize the display count                                            │
           │                                                                                                           │
           │     def next(self):                                                                                       │
           │         if self.arrival:                                                                                  │
           │             self.current_count += 1  # Increment on arrival                                               │
           │         if self.departure:                                                                                │
           │             if self.current_count > 0:                                                                    │
           │                 self.current_count -= 1  # Decrement on departure (no negative parking lot)               │
           │         self.display_count = self.current_count  # Update the display with the current count              │
           │                                                                                                           │
           │     def specification(self):                                                                              │
           │         return self.current_count >= 0  # Ensure the count never goes negative                            │
           │                                                                                                           │
           │     def proof(self):                                                                                      │
           │         if self.init():                                                                                   │
           │             assert self.display_count == 0 and self.current_count == 0, "Initial state not set properly." │
           │                                                                                                           │
           │         if self.next():                                                                                   │
           │             assert self.current_count >= 0, "Count violated non-negative constraint."                     │
           │                                                                                                           │
           │         return True                                                                                       │
           │                                                                                                           │
           │ # Usage:                                                                                                  │
           │ # Instantiate and use the ParkingCounter class for simulations or modeling.                               │
           │ ```                                                                                                       │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────╮                                                                                          utils.py:24
           │                                                                                                           │
           │ class Module:                                                                                             │
           │     """An abstract class to represent a UCLID5 module."""                                                 │
           │                                                                                                           │
           │     def locals(self):                                                                                     │
           │         """Defines the local variables and their types."""                                                │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def init(self):                                                                                       │
           │         """Defines how variables are initialized."""                                                      │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def next(self):                                                                                       │
           │         """Defines the transition relation."""                                                            │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def specification(self):                                                                              │
           │         """Defines the specification in terms of invariant properties."""                                 │
           │         pass                                                                                              │
           │                                                                                                           │
           │     def proof(self):                                                                                      │
           │         """Defines the control block."""                                                                  │
           │         pass                                                                                              │
           │                                                                                                           │
           │ class ParkingCounter(Module):                                                                             │
           │     def locals(self):                                                                                     │
           │         self.arrival = bool                                                                               │
           │         self.departure = bool                                                                             │
           │         self.current_count = int                                                                          │
           │         self.display_count = int                                                                          │
           │                                                                                                           │
           │     def init(self):                                                                                       │
           │         self.current_count = 0  # Initialize the count of cars                                            │
           │         self.display_count = 0  # Initialize the display count                                            │
           │                                                                                                           │
           │     def next(self):                                                                                       │
           │         if self.arrival:                                                                                  │
           │             self.current_count += 1  # Increment on arrival                                               │
           │         if self.departure:                                                                                │
           │             if self.current_count > 0:                                                                    │
           │                 self.current_count -= 1  # Decrement on departure (no negative parking lot)               │
           │         self.display_count = self.current_count  # Update the display with the current count              │
           │                                                                                                           │
           │     def specification(self):                                                                              │
           │         return self.current_count >= 0  # Ensure the count never goes negative                            │
           │                                                                                                           │
           │     def proof(self):                                                                                      │
           │         if self.init():                                                                                   │
           │             assert self.display_count == 0 and self.current_count == 0, "Initial state not set properly." │
           │                                                                                                           │
           │         if self.next():                                                                                   │
           │             assert self.current_count >= 0, "Count violated non-negative constraint."                     │
           │                                                                                                           │
           │         return True                                                                                       │
           │                                                                                                           │
           │ # Usage:                                                                                                  │
           │ # Instantiate and use the ParkingCounter class for simulations or modeling.                               │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:38:59] ╭──────────────────── 🤖 Repaired: ─────────────────────╮                                                                                                                                              utils.py:24
           │ class Module(Module):                                 │
           │   def next(self):                                     │
           │     ??                                                │
           │                                                       │
           │ class ParkingCounter(Module):                         │
           │   def locals(self):                                   │
           │     self.arrival = bool                               │
           │     self.departure = bool                             │
           │     self.current_count = int                          │
           │     self.display_count = int                          │
           │                                                       │
           │   def init(self):                                     │
           │     self.current_count = 0                            │
           │     self.display_count = 0                            │
           │                                                       │
           │   def next(self):                                     │
           │     if self.arrival:                                  │
           │       self.current_count = (self.current_count + 1)   │
           │     if self.departure:                                │
           │       if (self.current_count > 0):                    │
           │         self.current_count = (self.current_count - 1) │
           │     self.display_count = self.current_count           │
           │                                                       │
           │   def specification(self):                            │
           │     return (self.current_count >= 0)                  │
           │                                                       │
           │   def proof(self):                                    │
           │     ??                                                │
           │     ??                                                │
           │                                                       │
           │                                                       │
           ╰───────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 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 ParkingCounter(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.arrival = bool                                                                                                                                                                            │
           │     self.departure = bool                                                                                                                                                                          │
           │     self.current_count = int                                                                                                                                                                       │
           │     self.display_count = int                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_count = 0                                                                                                                                                                         │
           │     self.display_count = 0                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if self.arrival:                                                                                                                                                                               │
           │       self.current_count = (self.current_count + 1)                                                                                                                                                │
           │     if self.departure:                                                                                                                                                                             │
           │       if (self.current_count > 0):                                                                                                                                                                 │
           │         self.current_count = (self.current_count - 1)                                                                                                                                              │
           │     self.display_count = self.current_count                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.current_count >= 0)                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a system that counts the number of cars that enter and leave a parking garage in order to keep track of how many cars are in the garage at any time. Assume that an ArrivalDetector actor  │
           │ produces an event when a car arrives, and a DepartureDetector actor produces an event when a car departs. The Counter actor keeps a running count, starting from an initial value i. Each time the │
           │ count changes, it produces an output event that updates a display. Use the variable names arrival, departure and counter.                                                                          │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:39:08] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │     def types(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ class ParkingCounter(Module):                                                                                                                                                                      │
           │     def locals(self):                                                                                                                                                                              │
           │         self.arrival = bool                                                                                                                                                                        │
           │         self.departure = bool                                                                                                                                                                      │
           │         self.current_count = int                                                                                                                                                                   │
           │         self.display_count = int                                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.current_count = 0                                                                                                                                                                     │
           │         self.display_count = 0                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.arrival:                                                                                                                                                                           │
           │             self.current_count += 1                                                                                                                                                                │
           │         if self.departure and self.current_count > 0:                                                                                                                                              │
           │             self.current_count -= 1                                                                                                                                                                │
           │         self.display_count = self.current_count                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return self.current_count >= 0                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         self.specification()  # As a placeholder for any control logic in a UCLID5-like spec                                                                                                       │
           │         # Here we would typically insert logic to verify the model, e.g., using assertions or checks                                                                                               │
           │ ```                                                                                                                                                                                                │
           │ This Python code models a system for a parking garage where cars are counted as they arrive and depart. It uses a simple class inheritance pattern with a basic UCLID5-style module class to serve │
           │ as a base for more specific functionality. The `ParkingCounter` class inherits from `Module` and implements logic to adjust the car count based on arrivals and departures, ensuring that the car  │
           │ count never goes negative.                                                                                                                                                                         │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────────────────── 🤖 Extracted: ────────────────────────────────────────────╮                                                                                               utils.py:24
           │                                                                                                      │
           │ class Module:                                                                                        │
           │     """An abstract class to represent a UCLID5 module."""                                            │
           │     def types(self):                                                                                 │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def locals(self):                                                                                │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def inputs(self):                                                                                │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def outputs(self):                                                                               │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def shared_vars(self):                                                                           │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def instances(self):                                                                             │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def init(self):                                                                                  │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def next(self):                                                                                  │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def specification(self):                                                                         │
           │         pass                                                                                         │
           │                                                                                                      │
           │     def proof(self):                                                                                 │
           │         pass                                                                                         │
           │                                                                                                      │
           │ class ParkingCounter(Module):                                                                        │
           │     def locals(self):                                                                                │
           │         self.arrival = bool                                                                          │
           │         self.departure = bool                                                                        │
           │         self.current_count = int                                                                     │
           │         self.display_count = int                                                                     │
           │                                                                                                      │
           │     def init(self):                                                                                  │
           │         self.current_count = 0                                                                       │
           │         self.display_count = 0                                                                       │
           │                                                                                                      │
           │     def next(self):                                                                                  │
           │         if self.arrival:                                                                             │
           │             self.current_count += 1                                                                  │
           │         if self.departure and self.current_count > 0:                                                │
           │             self.current_count -= 1                                                                  │
           │         self.display_count = self.current_count                                                      │
           │                                                                                                      │
           │     def specification(self):                                                                         │
           │         return self.current_count >= 0                                                               │
           │                                                                                                      │
           │     def proof(self):                                                                                 │
           │         self.specification()  # As a placeholder for any control logic in a UCLID5-like spec         │
           │         # Here we would typically insert logic to verify the model, e.g., using assertions or checks │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:39:09] ╭──────────────────── 🤖 Repaired: ─────────────────────╮                                                                                                                                              utils.py:24
           │ class ParkingCounter(Module):                         │
           │   def locals(self):                                   │
           │     self.arrival = bool                               │
           │     self.departure = bool                             │
           │     self.current_count = int                          │
           │     self.display_count = int                          │
           │                                                       │
           │   def init(self):                                     │
           │     self.current_count = 0                            │
           │     self.display_count = 0                            │
           │                                                       │
           │   def next(self):                                     │
           │     if self.arrival:                                  │
           │       self.current_count = (self.current_count + 1)   │
           │     if (self.departure and (self.current_count > 0)): │
           │       self.current_count = (self.current_count - 1)   │
           │     self.display_count = self.current_count           │
           │                                                       │
           │   def specification(self):                            │
           │     return (self.current_count >= 0)                  │
           │                                                       │
           │   def proof(self):                                    │
           │     ??                                                │
           │                                                       │
           │                                                       │
           ╰───────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class ParkingCounter(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.arrival = bool                                                                                                                                                                            │
           │     self.departure = bool                                                                                                                                                                          │
           │     self.current_count = int                                                                                                                                                                       │
           │     self.display_count = int                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_count = 0                                                                                                                                                                         │
           │     self.display_count = 0                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if self.arrival:                                                                                                                                                                               │
           │       self.current_count = (self.current_count + 1)                                                                                                                                                │
           │     if (self.departure and (self.current_count > 0)):                                                                                                                                              │
           │       self.current_count = (self.current_count - 1)                                                                                                                                                │
           │     self.display_count = self.current_count                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.current_count >= 0)                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a system that counts the number of cars that enter and leave a parking garage in order to keep track of how many cars are in the garage at any time. Assume that an ArrivalDetector actor  │
           │ produces an event when a car arrives, and a DepartureDetector actor produces an event when a car departs. The Counter actor keeps a running count, starting from an initial value i. Each time the │
           │ count changes, it produces an output event that updates a display. Use the variable names arrival, departure and counter.                                                                          │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:39:20] ╭───────────────────────────────────────────────────────────────────────── 🧠 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."""                                                                            │
           │         pass                                                                                                                                                    │
           │                                                                                                                                                                 │
           │     def proof(self):                                                                                                                                            │
           │         """(Optional) Defines the control block."""                                                                                                             │
           │         pass                                                                                                                                                    │
           │                                                                                                                                                                 │
           │ class ParkingCounter(Module):                                                                                                                                   │
           │     def locals(self):                                                                                                                                           │
           │         self.arrival = bool                                                                                                                                     │
           │         self.departure = bool                                                                                                                                   │
           │         self.current_count = int                                                                                                                                │
           │         self.display_count = int                                                                                                                                │
           │                                                                                                                                                                 │
           │     def init(self):                                                                                                                                             │
           │         self.current_count = 0                                                                                                                                  │
           │         self.display_count = 0                                                                                                                                  │
           │                                                                                                                                                                 │
           │     def next(self):                                                                                                                                             │
           │         if self.arrival:                                                                                                                                        │
           │             self.current_count += 1                                                                                                                             │
           │         if self.departure and self.current_count > 0:                                                                                                           │
           │             self.current_count -= 1                                                                                                                             │
           │         self.display_count = self.current_count                                                                                                                 │
           │                                                                                                                                                                 │
           │     def specification(self):                                                                                                                                    │
           │         return self.current_count >= 0                                                                                                                          │
           │                                                                                                                                                                 │
           │     def proof(self):                                                                                                                                            │
           │         assert self.specification(), "Specification must always hold that current_count >= 0"                                                                   │
           │ ```                                                                                                                                                             │
           │ This Python code models a parking counter system. Cars arriving and departing alter the count, with an invariant maintained that the count never goes negative. │
           ╰─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────── 🤖 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."""          │
           │         pass                                                                                  │
           │                                                                                               │
           │     def proof(self):                                                                          │
           │         """(Optional) Defines the control block."""                                           │
           │         pass                                                                                  │
           │                                                                                               │
           │ class ParkingCounter(Module):                                                                 │
           │     def locals(self):                                                                         │
           │         self.arrival = bool                                                                   │
           │         self.departure = bool                                                                 │
           │         self.current_count = int                                                              │
           │         self.display_count = int                                                              │
           │                                                                                               │
           │     def init(self):                                                                           │
           │         self.current_count = 0                                                                │
           │         self.display_count = 0                                                                │
           │                                                                                               │
           │     def next(self):                                                                           │
           │         if self.arrival:                                                                      │
           │             self.current_count += 1                                                           │
           │         if self.departure and self.current_count > 0:                                         │
           │             self.current_count -= 1                                                           │
           │         self.display_count = self.current_count                                               │
           │                                                                                               │
           │     def specification(self):                                                                  │
           │         return self.current_count >= 0                                                        │
           │                                                                                               │
           │     def proof(self):                                                                          │
           │         assert self.specification(), "Specification must always hold that current_count >= 0" │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────── 🤖 Repaired: ─────────────────────╮                                                                                                                                              utils.py:24
           │ class Module(Module):                                 │
           │   def next(self):                                     │
           │     ??                                                │
           │                                                       │
           │ class ParkingCounter(Module):                         │
           │   def locals(self):                                   │
           │     self.arrival = bool                               │
           │     self.departure = bool                             │
           │     self.current_count = int                          │
           │     self.display_count = int                          │
           │                                                       │
           │   def init(self):                                     │
           │     self.current_count = 0                            │
           │     self.display_count = 0                            │
           │                                                       │
           │   def next(self):                                     │
           │     if self.arrival:                                  │
           │       self.current_count = (self.current_count + 1)   │
           │     if (self.departure and (self.current_count > 0)): │
           │       self.current_count = (self.current_count - 1)   │
           │     self.display_count = self.current_count           │
           │                                                       │
           │   def specification(self):                            │
           │     return (self.current_count >= 0)                  │
           │                                                       │
           │   def proof(self):                                    │
           │     ??                                                │
           │                                                       │
           │                                                       │
           ╰───────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 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 ParkingCounter(Module):                                                                                                                                                                      │
           │   def locals(self):                                                                                                                                                                                │
           │     self.arrival = bool                                                                                                                                                                            │
           │     self.departure = bool                                                                                                                                                                          │
           │     self.current_count = int                                                                                                                                                                       │
           │     self.display_count = int                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.current_count = 0                                                                                                                                                                         │
           │     self.display_count = 0                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if self.arrival:                                                                                                                                                                               │
           │       self.current_count = (self.current_count + 1)                                                                                                                                                │
           │     if (self.departure and (self.current_count > 0)):                                                                                                                                              │
           │       self.current_count = (self.current_count - 1)                                                                                                                                                │
           │     self.display_count = self.current_count                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.current_count >= 0)                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def proof(self):                                                                                                                                                                                 │
           │     ??                                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a system that counts the number of cars that enter and leave a parking garage in order to keep track of how many cars are in the garage at any time. Assume that an ArrivalDetector actor  │
           │ produces an event when a car arrives, and a DepartureDetector actor produces an event when a car departs. The Counter actor keeps a running count, starting from an initial value i. Each time the │
           │ count changes, it produces an output event that updates a display. Use the variable names arrival, departure and counter.                                                                          │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:39:27] ╭──────────────────────────────────────────────── 🧠 Response: ────────────────────────────────────────────────╮                                                                                       utils.py:42
           │ ```python                                                                                                    │
           │ class Module:                                                                                                │
           │     """An abstract class to represent a UCLID5 module."""                                                    │
           │     def types(self):                                                                                         │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def locals(self):                                                                                        │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def inputs(self):                                                                                        │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def outputs(self):                                                                                       │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def shared_vars(self):                                                                                   │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def instances(self):                                                                                     │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def init(self):                                                                                          │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def next(self):                                                                                          │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def specification(self):                                                                                 │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def proof(self):                                                                                         │
           │         pass                                                                                                 │
           │                                                                                                              │
           │ class ParkingCounter(Module):                                                                                │
           │     def locals(self):                                                                                        │
           │         self.arrival = bool                                                                                  │
           │         self.departure = bool                                                                                │
           │         self.counter = int                                                                                   │
           │         self.display_count = int                                                                             │
           │                                                                                                              │
           │     def init(self):                                                                                          │
           │         self.counter = 0                                                                                     │
           │         self.display_count = 0                                                                               │
           │                                                                                                              │
           │     def next(self):                                                                                          │
           │         if self.arrival:                                                                                     │
           │             self.counter += 1                                                                                │
           │         if self.departure and self.counter > 0:                                                              │
           │             self.counter -= 1                                                                                │
           │         self.display_count = self.counter                                                                    │
           │                                                                                                              │
           │     def specification(self):                                                                                 │
           │         return self.counter >= 0                                                                             │
           │                                                                                                              │
           │     def proof(self):                                                                                         │
           │         pass  # In a realistic UCLID5 scenario, here would be the place to prove properties about the model. │
           │ ```                                                                                                          │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────────────────────── 🤖 Extracted: ────────────────────────────────────────────────╮                                                                                       utils.py:24
           │                                                                                                              │
           │ class Module:                                                                                                │
           │     """An abstract class to represent a UCLID5 module."""                                                    │
           │     def types(self):                                                                                         │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def locals(self):                                                                                        │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def inputs(self):                                                                                        │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def outputs(self):                                                                                       │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def shared_vars(self):                                                                                   │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def instances(self):                                                                                     │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def init(self):                                                                                          │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def next(self):                                                                                          │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def specification(self):                                                                                 │
           │         pass                                                                                                 │
           │                                                                                                              │
           │     def proof(self):                                                                                         │
           │         pass                                                                                                 │
           │                                                                                                              │
           │ class ParkingCounter(Module):                                                                                │
           │     def locals(self):                                                                                        │
           │         self.arrival = bool                                                                                  │
           │         self.departure = bool                                                                                │
           │         self.counter = int                                                                                   │
           │         self.display_count = int                                                                             │
           │                                                                                                              │
           │     def init(self):                                                                                          │
           │         self.counter = 0                                                                                     │
           │         self.display_count = 0                                                                               │
           │                                                                                                              │
           │     def next(self):                                                                                          │
           │         if self.arrival:                                                                                     │
           │             self.counter += 1                                                                                │
           │         if self.departure and self.counter > 0:                                                              │
           │             self.counter -= 1                                                                                │
           │         self.display_count = self.counter                                                                    │
           │                                                                                                              │
           │     def specification(self):                                                                                 │
           │         return self.counter >= 0                                                                             │
           │                                                                                                              │
           │     def proof(self):                                                                                         │
           │         pass  # In a realistic UCLID5 scenario, here would be the place to prove properties about the model. │
           ╰──────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭───────────────── 🤖 Repaired: ──────────────────╮                                                                                                                                                    utils.py:24
           │ class ParkingCounter(Module):                   │
           │   def locals(self):                             │
           │     self.arrival = bool                         │
           │     self.departure = bool                       │
           │     self.counter = int                          │
           │     self.display_count = int                    │
           │                                                 │
           │   def init(self):                               │
           │     self.counter = 0                            │
           │     self.display_count = 0                      │
           │                                                 │
           │   def next(self):                               │
           │     if self.arrival:                            │
           │       self.counter = (self.counter + 1)         │
           │     if (self.departure and (self.counter > 0)): │
           │       self.counter = (self.counter - 1)         │
           │     self.display_count = self.counter           │
           │                                                 │
           │   def specification(self):                      │
           │     return (self.counter >= 0)                  │
           │                                                 │
           │                                                 │
           ╰─────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 46     │
           │ Final Lines:    21     │
           │ LLM Calls:      5      │
           │ LLM Time:       49.81s │
           │ Repair Time:    2.54s  │
           ╰────────────────────────╯
