[20:50:18] ╭─────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────╮          utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                   │
           │                                                                                                                                                                                           │
           │ > Model a single traffic light as a simple transition system with two states, one state modeling a red light, the other one modeling a green light. Use the variable names red and green. │
           │                                                                                                                                                                                           │
           │ 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                                                                                                                                                                                 │
           │                                                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:50:20] ╭───────────── 🧠 Response: ──────────────╮                                                                                                                                                            utils.py:42
           │ class TrafficLight(Module):             │
           │     def locals(self):                   │
           │         self.red = Boolean()            │
           │         self.green = Boolean()          │
           │                                         │
           │     def init(self):                     │
           │         self.red = Boolean(True)        │
           │         self.green = Boolean(False)     │
           │                                         │
           │     def next(self):                     │
           │         if self.red:                    │
           │             self.red = Boolean(False)   │
           │             self.green = Boolean(True)  │
           │         else:                           │
           │             self.red = Boolean(True)    │
           │             self.green = Boolean(False) │
           │ ```                                     │
           ╰─────────────────────────────────────────╯
           ╭───────────── 🤖 Extracted: ─────────────╮                                                                                                                                                            utils.py:24
           │                                         │
           │ class TrafficLight(Module):             │
           │     def locals(self):                   │
           │         self.red = Boolean()            │
           │         self.green = Boolean()          │
           │                                         │
           │     def init(self):                     │
           │         self.red = Boolean(True)        │
           │         self.green = Boolean(False)     │
           │                                         │
           │     def next(self):                     │
           │         if self.red:                    │
           │             self.red = Boolean(False)   │
           │             self.green = Boolean(True)  │
           │         else:                           │
           │             self.red = Boolean(True)    │
           │             self.green = Boolean(False) │
           ╰─────────────────────────────────────────╯
           ╭─────── 🤖 Repaired: ────────╮                                                                                                                                                                        utils.py:24
           │ class TrafficLight(Module): │
           │   def locals(self):         │
           │     self.red = bool         │
           │     self.green = bool       │
           │                             │
           │   def init(self):           │
           │     self.red = ??           │
           │     self.green = ??         │
           │                             │
           │   def next(self):           │
           │     if self.red:            │
           │       self.red = ??         │
           │       self.green = ??       │
           │     else:                   │
           │       self.red = ??         │
           │       self.green = ??       │
           │                             │
           │                             │
           ╰─────────────────────────────╯
           ╭─────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────╮          utils.py:24
           │                                                                                                                                                                                           │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                │
           │ ```python                                                                                                                                                                                 │
           │ class TrafficLight(Module):                                                                                                                                                               │
           │   def locals(self):                                                                                                                                                                       │
           │     self.red = bool                                                                                                                                                                       │
           │     self.green = bool                                                                                                                                                                     │
           │                                                                                                                                                                                           │
           │   def init(self):                                                                                                                                                                         │
           │     self.red = ??                                                                                                                                                                         │
           │     self.green = ??                                                                                                                                                                       │
           │                                                                                                                                                                                           │
           │   def next(self):                                                                                                                                                                         │
           │     if self.red:                                                                                                                                                                          │
           │       self.red = ??                                                                                                                                                                       │
           │       self.green = ??                                                                                                                                                                     │
           │     else:                                                                                                                                                                                 │
           │       self.red = ??                                                                                                                                                                       │
           │       self.green = ??                                                                                                                                                                     │
           │                                                                                                                                                                                           │
           │                                                                                                                                                                                           │
           │ ```                                                                                                                                                                                       │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                       │
           │                                                                                                                                                                                           │
           │ > Model a single traffic light as a simple transition system with two states, one state modeling a red light, the other one modeling a green light. Use the variable names red and green. │
           │                                                                                                                                                                                           │
           │ 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                                                                                                                                                                                 │
           │                                                                                                                                                                                           │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:50:22] ╭───────── 🧠 Response: ─────────╮                                                                                                                                                                     utils.py:42
           │ class TrafficLight(Module):    │
           │     def locals(self):          │
           │         self.red = bool        │
           │         self.green = bool      │
           │                                │
           │     def init(self):            │
           │         self.red = True        │
           │         self.green = False     │
           │                                │
           │     def next(self):            │
           │         if self.red:           │
           │             self.red = False   │
           │             self.green = True  │
           │         else:                  │
           │             self.red = True    │
           │             self.green = False │
           │                                │
           │ ```                            │
           ╰────────────────────────────────╯
           ╭──────── 🤖 Extracted: ─────────╮                                                                                                                                                                     utils.py:24
           │                                │
           │ class TrafficLight(Module):    │
           │     def locals(self):          │
           │         self.red = bool        │
           │         self.green = bool      │
           │                                │
           │     def init(self):            │
           │         self.red = True        │
           │         self.green = False     │
           │                                │
           │     def next(self):            │
           │         if self.red:           │
           │             self.red = False   │
           │             self.green = True  │
           │         else:                  │
           │             self.red = True    │
           │             self.green = False │
           ╰────────────────────────────────╯
           ╭─────── 🤖 Repaired: ────────╮                                                                                                                                                                        utils.py:24
           │ class TrafficLight(Module): │
           │   def locals(self):         │
           │     self.red = bool         │
           │     self.green = bool       │
           │                             │
           │   def init(self):           │
           │     self.red = True         │
           │     self.green = False      │
           │                             │
           │   def next(self):           │
           │     if self.red:            │
           │       self.red = False      │
           │       self.green = True     │
           │     else:                   │
           │       self.red = True       │
           │       self.green = False    │
           │                             │
           │                             │
           ╰─────────────────────────────╯
           ╭────── 🤖 Stats: ──────╮                                                                                                                                                                              utils.py:24
           │ Original Lines: 17    │
           │ Final Lines:    17    │
           │ LLM Calls:      2     │
           │ LLM Time:       3.15s │
           │ Repair Time:    0.62s │
           ╰───────────────────────╯
