[20:56:57] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Model a state machine describing a traffic light at a pedestrian crosswalk. This is a time triggered machine that assumes it will react once per second. It starts in the red state and counts   │
           │ 60 seconds with the help of the variable count. It then transitions to green, where it will remain until the pure input pedestrian is present. That input is generated by some other subsystem     │
           │ that detects when a pedestrian is present, and should be modelled as nondeterministic. When pedestrian is present, the machine transitions to yellow if it has been in state green for at least 60 │
           │ seconds. Otherwise, it transitions to pending, where it stays for the remainder of the 60 second interval. This ensures that once the light goes green, it stays green for at least 60 seconds. At │
           │ the end of 60 seconds, it will transition to yellow, where it will remain for 5 seconds before transitioning back to red. The outputs produced by this machine are sigG to turn on the green       │
           │ light, sigY to change the light to yellow, and sigR to change the light to red. Use the variable names count, pedestrian, siG, sigY, sigR.                                                         │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:57:03] ╭────────────────────────── 🧠 Response: ──────────────────────────╮                                                                                                                                   utils.py:42
           │ from uclid import *                                              │
           │ from uclid import BitVector                                      │
           │                                                                  │
           │ class TrafficLight(Module):                                      │
           │                                                                  │
           │     def types(self):                                             │
           │         self.state_t = BitVector(2)                              │
           │                                                                  │
           │     def locals(self):                                            │
           │         self.state = BitVector(2)                                │
           │         self.count = BitVector(6)                                │
           │         self.pedestrian = Boolean()                              │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def inputs(self):                                            │
           │         self.pedestrian = Boolean()                              │
           │                                                                  │
           │     def outputs(self):                                           │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def init(self):                                              │
           │         self.state = BitVector(2)                                │
           │         self.count = BitVector(6)                                │
           │         self.pedestrian = Boolean()                              │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def next(self):                                              │
           │         if self.state == 0: # Red State                          │
           │             self.sigG = False                                    │
           │             self.sigY = False                                    │
           │             self.sigR = True                                     │
           │             self.count = 0                                       │
           │             if self.count < 60:                                  │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 1 # Transition to Green State       │
           │         elif self.state == 1: # Green State                      │
           │             self.sigR = False                                    │
           │             self.sigY = False                                    │
           │             self.sigG = True                                     │
           │             if self.pedestrian:                                  │
           │                 if self.count >= 60:                             │
           │                     self.state = 2 # Transition to Yellow State  │
           │                 else:                                            │
           │                     self.state = 3 # Transition to Pending State │
           │         elif self.state == 2: # Yellow State                     │
           │             self.sigG = False                                    │
           │             self.sigR = False                                    │
           │             self.sigY = True                                     │
           │             if self.count < 5:                                   │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 0 # Transition to Red State         │
           │         elif self.state == 3: # Pending State                    │
           │             self.sigG = False                                    │
           │             self.sigY = False                                    │
           │             self.sigR = False                                    │
           │             if self.count < 60:                                  │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 0 # Transition to Red State         │
           │ ```                                                              │
           ╰──────────────────────────────────────────────────────────────────╯
           ╭───────────────────────── 🤖 Extracted: ──────────────────────────╮                                                                                                                                   utils.py:24
           │                                                                  │
           │ from uclid import *                                              │
           │ from uclid import BitVector                                      │
           │                                                                  │
           │ class TrafficLight(Module):                                      │
           │                                                                  │
           │     def types(self):                                             │
           │         self.state_t = BitVector(2)                              │
           │                                                                  │
           │     def locals(self):                                            │
           │         self.state = BitVector(2)                                │
           │         self.count = BitVector(6)                                │
           │         self.pedestrian = Boolean()                              │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def inputs(self):                                            │
           │         self.pedestrian = Boolean()                              │
           │                                                                  │
           │     def outputs(self):                                           │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def init(self):                                              │
           │         self.state = BitVector(2)                                │
           │         self.count = BitVector(6)                                │
           │         self.pedestrian = Boolean()                              │
           │         self.sigG = Boolean()                                    │
           │         self.sigY = Boolean()                                    │
           │         self.sigR = Boolean()                                    │
           │                                                                  │
           │     def next(self):                                              │
           │         if self.state == 0: # Red State                          │
           │             self.sigG = False                                    │
           │             self.sigY = False                                    │
           │             self.sigR = True                                     │
           │             self.count = 0                                       │
           │             if self.count < 60:                                  │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 1 # Transition to Green State       │
           │         elif self.state == 1: # Green State                      │
           │             self.sigR = False                                    │
           │             self.sigY = False                                    │
           │             self.sigG = True                                     │
           │             if self.pedestrian:                                  │
           │                 if self.count >= 60:                             │
           │                     self.state = 2 # Transition to Yellow State  │
           │                 else:                                            │
           │                     self.state = 3 # Transition to Pending State │
           │         elif self.state == 2: # Yellow State                     │
           │             self.sigG = False                                    │
           │             self.sigR = False                                    │
           │             self.sigY = True                                     │
           │             if self.count < 5:                                   │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 0 # Transition to Red State         │
           │         elif self.state == 3: # Pending State                    │
           │             self.sigG = False                                    │
           │             self.sigY = False                                    │
           │             self.sigR = False                                    │
           │             if self.count < 60:                                  │
           │                 self.count = self.count + 1                      │
           │             else:                                                │
           │                 self.state = 0 # Transition to Red State         │
           ╰──────────────────────────────────────────────────────────────────╯
[20:57:05] ╭─────────────── 🤖 Repaired: ────────────────╮                                                                                                                                                        utils.py:24
           │ class TrafficLight(Module):                 │
           │   def locals(self):                         │
           │     self.state = int                        │
           │     self.count = int                        │
           │     self.pedestrian = bool                  │
           │                                             │
           │   def outputs(self):                        │
           │     self.sigG = bool                        │
           │     self.sigY = bool                        │
           │     self.sigR = bool                        │
           │                                             │
           │   def init(self):                           │
           │     self.state = ??                         │
           │     self.count = ??                         │
           │     self.pedestrian = ??                    │
           │     self.sigG = ??                          │
           │     self.sigY = ??                          │
           │     self.sigR = ??                          │
           │                                             │
           │   def next(self):                           │
           │     if (self.state == 0):                   │
           │       self.sigG = False                     │
           │       self.sigY = False                     │
           │       self.sigR = True                      │
           │       self.count = 0                        │
           │       if (self.count < 60):                 │
           │         self.count = (self.count + 1)       │
           │       else:                                 │
           │         self.state = 1                      │
           │     else:                                   │
           │       if (self.state == 1):                 │
           │         self.sigR = False                   │
           │         self.sigY = False                   │
           │         self.sigG = True                    │
           │         if self.pedestrian:                 │
           │           if (self.count >= 60):            │
           │             self.state = 2                  │
           │           else:                             │
           │             self.state = 3                  │
           │       else:                                 │
           │         if (self.state == 2):               │
           │           self.sigG = False                 │
           │           self.sigR = False                 │
           │           self.sigY = True                  │
           │           if (self.count < 5):              │
           │             self.count = (self.count + 1)   │
           │           else:                             │
           │             self.state = 0                  │
           │         else:                               │
           │           if (self.state == 3):             │
           │             self.sigG = False               │
           │             self.sigY = False               │
           │             self.sigR = False               │
           │             if (self.count < 60):           │
           │               self.count = (self.count + 1) │
           │             else:                           │
           │               self.state = 0                │
           │                                             │
           │                                             │
           ╰─────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 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.state = int                                                                                                                                                                               │
           │     self.count = int                                                                                                                                                                               │
           │     self.pedestrian = bool                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.sigG = bool                                                                                                                                                                               │
           │     self.sigY = bool                                                                                                                                                                               │
           │     self.sigR = bool                                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.state = ??                                                                                                                                                                                │
           │     self.count = ??                                                                                                                                                                                │
           │     self.pedestrian = ??                                                                                                                                                                           │
           │     self.sigG = ??                                                                                                                                                                                 │
           │     self.sigY = ??                                                                                                                                                                                 │
           │     self.sigR = ??                                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.state == 0):                                                                                                                                                                          │
           │       self.sigG = False                                                                                                                                                                            │
           │       self.sigY = False                                                                                                                                                                            │
           │       self.sigR = True                                                                                                                                                                             │
           │       self.count = 0                                                                                                                                                                               │
           │       if (self.count < 60):                                                                                                                                                                        │
           │         self.count = (self.count + 1)                                                                                                                                                              │
           │       else:                                                                                                                                                                                        │
           │         self.state = 1                                                                                                                                                                             │
           │     else:                                                                                                                                                                                          │
           │       if (self.state == 1):                                                                                                                                                                        │
           │         self.sigR = False                                                                                                                                                                          │
           │         self.sigY = False                                                                                                                                                                          │
           │         self.sigG = True                                                                                                                                                                           │
           │         if self.pedestrian:                                                                                                                                                                        │
           │           if (self.count >= 60):                                                                                                                                                                   │
           │             self.state = 2                                                                                                                                                                         │
           │           else:                                                                                                                                                                                    │
           │             self.state = 3                                                                                                                                                                         │
           │       else:                                                                                                                                                                                        │
           │         if (self.state == 2):                                                                                                                                                                      │
           │           self.sigG = False                                                                                                                                                                        │
           │           self.sigR = False                                                                                                                                                                        │
           │           self.sigY = True                                                                                                                                                                         │
           │           if (self.count < 5):                                                                                                                                                                     │
           │             self.count = (self.count + 1)                                                                                                                                                          │
           │           else:                                                                                                                                                                                    │
           │             self.state = 0                                                                                                                                                                         │
           │         else:                                                                                                                                                                                      │
           │           if (self.state == 3):                                                                                                                                                                    │
           │             self.sigG = False                                                                                                                                                                      │
           │             self.sigY = False                                                                                                                                                                      │
           │             self.sigR = False                                                                                                                                                                      │
           │             if (self.count < 60):                                                                                                                                                                  │
           │               self.count = (self.count + 1)                                                                                                                                                        │
           │             else:                                                                                                                                                                                  │
           │               self.state = 0                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Model a state machine describing a traffic light at a pedestrian crosswalk. This is a time triggered machine that assumes it will react once per second. It starts in the red state and counts   │
           │ 60 seconds with the help of the variable count. It then transitions to green, where it will remain until the pure input pedestrian is present. That input is generated by some other subsystem     │
           │ that detects when a pedestrian is present, and should be modelled as nondeterministic. When pedestrian is present, the machine transitions to yellow if it has been in state green for at least 60 │
           │ seconds. Otherwise, it transitions to pending, where it stays for the remainder of the 60 second interval. This ensures that once the light goes green, it stays green for at least 60 seconds. At │
           │ the end of 60 seconds, it will transition to yellow, where it will remain for 5 seconds before transitioning back to red. The outputs produced by this machine are sigG to turn on the green       │
           │ light, sigY to change the light to yellow, and sigR to change the light to red. Use the variable names count, pedestrian, siG, sigY, sigR.                                                         │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:57:11] ╭───────────────────── 🧠 Response: ──────────────────────╮                                                                                                                                            utils.py:42
           │ ```python                                               │
           │ class TrafficLight(Module):                             │
           │     def locals(self):                                   │
           │         self.state = 0                                  │
           │         self.count = 0                                  │
           │         self.pedestrian = False                         │
           │                                                         │
           │     def outputs(self):                                  │
           │         self.sigG = False                               │
           │         self.sigY = False                               │
           │         self.sigR = False                               │
           │                                                         │
           │     def init(self):                                     │
           │         self.state = 0                                  │
           │         self.count = 0                                  │
           │         self.pedestrian = False                         │
           │         self.sigG = False                               │
           │         self.sigY = False                               │
           │         self.sigR = True                                │
           │                                                         │
           │     def next(self):                                     │
           │         if self.state == 0:                             │
           │             self.sigG = False                           │
           │             self.sigY = False                           │
           │             self.sigR = True                            │
           │             self.count = 0                              │
           │             if self.count < 60:                         │
           │                 self.count = self.count + 1             │
           │             else:                                       │
           │                 self.state = 1                          │
           │         else:                                           │
           │             if self.state == 1:                         │
           │                 self.sigR = False                       │
           │                 self.sigY = False                       │
           │                 self.sigG = True                        │
           │                 if self.pedestrian:                     │
           │                     if self.count >= 60:                │
           │                         self.state = 2                  │
           │                     else:                               │
           │                         self.state = 3                  │
           │             else:                                       │
           │                 if self.state == 2:                     │
           │                     self.sigG = False                   │
           │                     self.sigR = False                   │
           │                     self.sigY = True                    │
           │                     if self.count < 5:                  │
           │                         self.count = self.count + 1     │
           │                     else:                               │
           │                         self.state = 0                  │
           │                 else:                                   │
           │                     if self.state == 3:                 │
           │                         self.sigG = False               │
           │                         self.sigY = False               │
           │                         self.sigR = False               │
           │                         if self.count < 60:             │
           │                             self.count = self.count + 1 │
           │                         else:                           │
           │                             self.state = 0              │
           │ ```                                                     │
           ╰─────────────────────────────────────────────────────────╯
           ╭───────────────────── 🤖 Extracted: ─────────────────────╮                                                                                                                                            utils.py:24
           │                                                         │
           │ class TrafficLight(Module):                             │
           │     def locals(self):                                   │
           │         self.state = 0                                  │
           │         self.count = 0                                  │
           │         self.pedestrian = False                         │
           │                                                         │
           │     def outputs(self):                                  │
           │         self.sigG = False                               │
           │         self.sigY = False                               │
           │         self.sigR = False                               │
           │                                                         │
           │     def init(self):                                     │
           │         self.state = 0                                  │
           │         self.count = 0                                  │
           │         self.pedestrian = False                         │
           │         self.sigG = False                               │
           │         self.sigY = False                               │
           │         self.sigR = True                                │
           │                                                         │
           │     def next(self):                                     │
           │         if self.state == 0:                             │
           │             self.sigG = False                           │
           │             self.sigY = False                           │
           │             self.sigR = True                            │
           │             self.count = 0                              │
           │             if self.count < 60:                         │
           │                 self.count = self.count + 1             │
           │             else:                                       │
           │                 self.state = 1                          │
           │         else:                                           │
           │             if self.state == 1:                         │
           │                 self.sigR = False                       │
           │                 self.sigY = False                       │
           │                 self.sigG = True                        │
           │                 if self.pedestrian:                     │
           │                     if self.count >= 60:                │
           │                         self.state = 2                  │
           │                     else:                               │
           │                         self.state = 3                  │
           │             else:                                       │
           │                 if self.state == 2:                     │
           │                     self.sigG = False                   │
           │                     self.sigR = False                   │
           │                     self.sigY = True                    │
           │                     if self.count < 5:                  │
           │                         self.count = self.count + 1     │
           │                     else:                               │
           │                         self.state = 0                  │
           │                 else:                                   │
           │                     if self.state == 3:                 │
           │                         self.sigG = False               │
           │                         self.sigY = False               │
           │                         self.sigR = False               │
           │                         if self.count < 60:             │
           │                             self.count = self.count + 1 │
           │                         else:                           │
           │                             self.state = 0              │
           ╰─────────────────────────────────────────────────────────╯
[20:57:12] ╭─────────────── 🤖 Repaired: ────────────────╮                                                                                                                                                        utils.py:24
           │ class TrafficLight(Module):                 │
           │   def locals(self):                         │
           │     self.count = int                        │
           │     self.pedestrian = bool                  │
           │     self.sigG = bool                        │
           │     self.sigR = bool                        │
           │     self.sigY = bool                        │
           │     self.state = int                        │
           │                                             │
           │   def init(self):                           │
           │     self.state = 0                          │
           │     self.count = 0                          │
           │     self.pedestrian = False                 │
           │     self.sigG = False                       │
           │     self.sigY = False                       │
           │     self.sigR = True                        │
           │                                             │
           │   def next(self):                           │
           │     if (self.state == 0):                   │
           │       self.sigG = False                     │
           │       self.sigY = False                     │
           │       self.sigR = True                      │
           │       self.count = 0                        │
           │       if (self.count < 60):                 │
           │         self.count = (self.count + 1)       │
           │       else:                                 │
           │         self.state = 1                      │
           │     else:                                   │
           │       if (self.state == 1):                 │
           │         self.sigR = False                   │
           │         self.sigY = False                   │
           │         self.sigG = True                    │
           │         if self.pedestrian:                 │
           │           if (self.count >= 60):            │
           │             self.state = 2                  │
           │           else:                             │
           │             self.state = 3                  │
           │       else:                                 │
           │         if (self.state == 2):               │
           │           self.sigG = False                 │
           │           self.sigR = False                 │
           │           self.sigY = True                  │
           │           if (self.count < 5):              │
           │             self.count = (self.count + 1)   │
           │           else:                             │
           │             self.state = 0                  │
           │         else:                               │
           │           if (self.state == 3):             │
           │             self.sigG = False               │
           │             self.sigY = False               │
           │             self.sigR = False               │
           │             if (self.count < 60):           │
           │               self.count = (self.count + 1) │
           │             else:                           │
           │               self.state = 0                │
           │                                             │
           │                                             │
           ╰─────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 68     │
           │ Final Lines:    56     │
           │ LLM Calls:      2      │
           │ LLM Time:       11.87s │
           │ Repair Time:    2.27s  │
           ╰────────────────────────╯
