[22:40:58] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 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 a pedestrian pushing a   │
           │ button to request a walk light. 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 sigG, sigY, sigR, pedestrian and count.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the Python code:                                                                                                                                                 │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:41:14] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class TrafficLightStateMachine(Module):                                                                                                                                                            │
           │     def __init__(self):                                                                                                                                                                            │
           │         self.state = "RED"  # RED, GREEN, PENDING, YELLOW                                                                                                                                          │
           │         self.count = 0                                                                                                                                                                             │
           │         self.pedestrian = False                                                                                                                                                                    │
           │         self.sigR = False                                                                                                                                                                          │
           │         self.sigG = False                                                                                                                                                                          │
           │         self.sigY = False                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.pedestrian = Boolean()                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         self.sigR = Boolean()                                                                                                                                                                      │
           │         self.sigG = Boolean()                                                                                                                                                                      │
           │         self.sigY = Boolean()                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.state = String()                                                                                                                                                                      │
           │         self.count = Integer()                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.sigR = True                                                                                                                                                                           │
           │         self.sigG = False                                                                                                                                                                          │
           │         self.sigY = False                                                                                                                                                                          │
           │         self.state = "RED"                                                                                                                                                                         │
           │         self.count = 0                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.state == "RED":                                                                                                                                                                    │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 60:                                                                                                                                                                   │
           │                 self.transition("GREEN")                                                                                                                                                           │
           │         elif self.state == "GREEN":                                                                                                                                                                │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.pedestrian and self.count >= 60:                                                                                                                                               │
           │                 self.transition("YELLOW")                                                                                                                                                          │
           │             elif self.pedestrian:                                                                                                                                                                  │
           │                 self.transition("PENDING")                                                                                                                                                         │
           │         elif self.state == "PENDING":                                                                                                                                                              │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 60:                                                                                                                                                                   │
           │                 self.transition("YELLOW")                                                                                                                                                          │
           │         elif self.state == "YELLOW":                                                                                                                                                               │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 5:                                                                                                                                                                    │
           │                 self.transition("RED")                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def transition(self, next_state):                                                                                                                                                              │
           │         if next_state == "RED":                                                                                                                                                                    │
           │             self.sigR = True                                                                                                                                                                       │
           │             self.sigG = False                                                                                                                                                                      │
           │             self.sigY = False                                                                                                                                                                      │
           │         elif next_state == "GREEN":                                                                                                                                                                │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = True                                                                                                                                                                       │
           │             self.sigY = False                                                                                                                                                                      │
           │         elif next_state == "YELLOW":                                                                                                                                                               │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = False                                                                                                                                                                      │
           │             self.sigY = True                                                                                                                                                                       │
           │         elif next_state == "PENDING":                                                                                                                                                              │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = True                                                                                                                                                                       │
           │             self.sigY = False                                                                                                                                                                      │
           │         self.state = next_state                                                                                                                                                                    │
           │         self.count = 0                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Specification can include conditions such as:                                                                                                                                            │
           │         # - The light can't be red and green at the same time.                                                                                                                                     │
           │         # - Transition to YELLOW must always follow at least 60 seconds of GREEN unless in PENDING state.                                                                                          │
           │         return (not (self.sigR and self.sigG)) and ((self.state != "YELLOW") or (self.count >= 60 or self.state == "PENDING"))                                                                     │
           │ ```                                                                                                                                                                                                │
           │ This Python code extends the hypothetical `Module` class to implement a state machine for managing a traffic light at a pedestrian crosswalk. The transitions between states and signal outputs    │
           │ are based on time and the presence of a pedestrian input signal. The `specification` method provides invariant properties essential for the correct functioning and validation of the machine's    │
           │ behavior.                                                                                                                                                                                          │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────── 🤖 Extracted: ─────────────────────────────────────────────────────────╮                                                                     utils.py:24
           │                                                                                                                                │
           │ class TrafficLightStateMachine(Module):                                                                                        │
           │     def __init__(self):                                                                                                        │
           │         self.state = "RED"  # RED, GREEN, PENDING, YELLOW                                                                      │
           │         self.count = 0                                                                                                         │
           │         self.pedestrian = False                                                                                                │
           │         self.sigR = False                                                                                                      │
           │         self.sigG = False                                                                                                      │
           │         self.sigY = False                                                                                                      │
           │                                                                                                                                │
           │     def inputs(self):                                                                                                          │
           │         self.pedestrian = Boolean()                                                                                            │
           │                                                                                                                                │
           │     def outputs(self):                                                                                                         │
           │         self.sigR = Boolean()                                                                                                  │
           │         self.sigG = Boolean()                                                                                                  │
           │         self.sigY = Boolean()                                                                                                  │
           │                                                                                                                                │
           │     def locals(self):                                                                                                          │
           │         self.state = String()                                                                                                  │
           │         self.count = Integer()                                                                                                 │
           │                                                                                                                                │
           │     def init(self):                                                                                                            │
           │         self.sigR = True                                                                                                       │
           │         self.sigG = False                                                                                                      │
           │         self.sigY = False                                                                                                      │
           │         self.state = "RED"                                                                                                     │
           │         self.count = 0                                                                                                         │
           │                                                                                                                                │
           │     def next(self):                                                                                                            │
           │         if self.state == "RED":                                                                                                │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 60:                                                                                               │
           │                 self.transition("GREEN")                                                                                       │
           │         elif self.state == "GREEN":                                                                                            │
           │             self.count += 1                                                                                                    │
           │             if self.pedestrian and self.count >= 60:                                                                           │
           │                 self.transition("YELLOW")                                                                                      │
           │             elif self.pedestrian:                                                                                              │
           │                 self.transition("PENDING")                                                                                     │
           │         elif self.state == "PENDING":                                                                                          │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 60:                                                                                               │
           │                 self.transition("YELLOW")                                                                                      │
           │         elif self.state == "YELLOW":                                                                                           │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 5:                                                                                                │
           │                 self.transition("RED")                                                                                         │
           │                                                                                                                                │
           │     def transition(self, next_state):                                                                                          │
           │         if next_state == "RED":                                                                                                │
           │             self.sigR = True                                                                                                   │
           │             self.sigG = False                                                                                                  │
           │             self.sigY = False                                                                                                  │
           │         elif next_state == "GREEN":                                                                                            │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │         elif next_state == "YELLOW":                                                                                           │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = False                                                                                                  │
           │             self.sigY = True                                                                                                   │
           │         elif next_state == "PENDING":                                                                                          │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │         self.state = next_state                                                                                                │
           │         self.count = 0                                                                                                         │
           │                                                                                                                                │
           │     def specification(self):                                                                                                   │
           │         # Specification can include conditions such as:                                                                        │
           │         # - The light can't be red and green at the same time.                                                                 │
           │         # - Transition to YELLOW must always follow at least 60 seconds of GREEN unless in PENDING state.                      │
           │         return (not (self.sigR and self.sigG)) and ((self.state != "YELLOW") or (self.count >= 60 or self.state == "PENDING")) │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:41:16] ╭───────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────╮                                                                     utils.py:24
           │ class TrafficLightStateMachine(Module):                                                                                        │
           │   def types(self):                                                                                                             │
           │     self.String = Enum("GREEN", "PENDING", "RED", "YELLOW")                                                                    │
           │                                                                                                                                │
           │   def locals(self):                                                                                                            │
           │     self.next_state = Enum("GREEN", "PENDING", "RED", "YELLOW")                                                                │
           │     self.state = self.String                                                                                                   │
           │     self.count = int                                                                                                           │
           │                                                                                                                                │
           │   def inputs(self):                                                                                                            │
           │     self.pedestrian = bool                                                                                                     │
           │                                                                                                                                │
           │   def outputs(self):                                                                                                           │
           │     self.sigR = bool                                                                                                           │
           │     self.sigG = bool                                                                                                           │
           │     self.sigY = bool                                                                                                           │
           │                                                                                                                                │
           │   def init(self):                                                                                                              │
           │     self.sigR = True                                                                                                           │
           │     self.sigG = False                                                                                                          │
           │     self.sigY = False                                                                                                          │
           │     self.state = "RED"                                                                                                         │
           │     self.count = 0                                                                                                             │
           │                                                                                                                                │
           │   def next(self):                                                                                                              │
           │     if (self.state == "RED"):                                                                                                  │
           │       self.count = (self.count + 1)                                                                                            │
           │       if (self.count >= 60):                                                                                                   │
           │         ??                                                                                                                     │
           │     else:                                                                                                                      │
           │       if (self.state == "GREEN"):                                                                                              │
           │         self.count = (self.count + 1)                                                                                          │
           │         if (self.pedestrian and (self.count >= 60)):                                                                           │
           │           ??                                                                                                                   │
           │         else:                                                                                                                  │
           │           if self.pedestrian:                                                                                                  │
           │             ??                                                                                                                 │
           │       else:                                                                                                                    │
           │         if (self.state == "PENDING"):                                                                                          │
           │           self.count = (self.count + 1)                                                                                        │
           │           if (self.count >= 60):                                                                                               │
           │             ??                                                                                                                 │
           │         else:                                                                                                                  │
           │           if (self.state == "YELLOW"):                                                                                         │
           │             self.count = (self.count + 1)                                                                                      │
           │             if (self.count >= 5):                                                                                              │
           │               ??                                                                                                               │
           │     if (self.next_state == "RED"):                                                                                             │
           │       self.sigR = True                                                                                                         │
           │       self.sigG = False                                                                                                        │
           │       self.sigY = False                                                                                                        │
           │     else:                                                                                                                      │
           │       if (self.next_state == "GREEN"):                                                                                         │
           │         self.sigR = False                                                                                                      │
           │         self.sigG = True                                                                                                       │
           │         self.sigY = False                                                                                                      │
           │       else:                                                                                                                    │
           │         if (self.next_state == "YELLOW"):                                                                                      │
           │           self.sigR = False                                                                                                    │
           │           self.sigG = False                                                                                                    │
           │           self.sigY = True                                                                                                     │
           │         else:                                                                                                                  │
           │           if (self.next_state == "PENDING"):                                                                                   │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │     self.state = self.next_state                                                                                               │
           │     self.count = 0                                                                                                             │
           │                                                                                                                                │
           │   def specification(self):                                                                                                     │
           │     return (not (self.sigR and self.sigG) and ((self.state != "YELLOW") or ((self.count >= 60) or (self.state == "PENDING")))) │
           │                                                                                                                                │
           │                                                                                                                                │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class TrafficLightStateMachine(Module):                                                                                                                                                            │
           │   def types(self):                                                                                                                                                                                 │
           │     self.String = Enum("GREEN", "PENDING", "RED", "YELLOW")                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │   def locals(self):                                                                                                                                                                                │
           │     self.next_state = Enum("GREEN", "PENDING", "RED", "YELLOW")                                                                                                                                    │
           │     self.state = self.String                                                                                                                                                                       │
           │     self.count = int                                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def inputs(self):                                                                                                                                                                                │
           │     self.pedestrian = bool                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │   def outputs(self):                                                                                                                                                                               │
           │     self.sigR = bool                                                                                                                                                                               │
           │     self.sigG = bool                                                                                                                                                                               │
           │     self.sigY = bool                                                                                                                                                                               │
           │                                                                                                                                                                                                    │
           │   def init(self):                                                                                                                                                                                  │
           │     self.sigR = True                                                                                                                                                                               │
           │     self.sigG = False                                                                                                                                                                              │
           │     self.sigY = False                                                                                                                                                                              │
           │     self.state = "RED"                                                                                                                                                                             │
           │     self.count = 0                                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if (self.state == "RED"):                                                                                                                                                                      │
           │       self.count = (self.count + 1)                                                                                                                                                                │
           │       if (self.count >= 60):                                                                                                                                                                       │
           │         ??                                                                                                                                                                                         │
           │     else:                                                                                                                                                                                          │
           │       if (self.state == "GREEN"):                                                                                                                                                                  │
           │         self.count = (self.count + 1)                                                                                                                                                              │
           │         if (self.pedestrian and (self.count >= 60)):                                                                                                                                               │
           │           ??                                                                                                                                                                                       │
           │         else:                                                                                                                                                                                      │
           │           if self.pedestrian:                                                                                                                                                                      │
           │             ??                                                                                                                                                                                     │
           │       else:                                                                                                                                                                                        │
           │         if (self.state == "PENDING"):                                                                                                                                                              │
           │           self.count = (self.count + 1)                                                                                                                                                            │
           │           if (self.count >= 60):                                                                                                                                                                   │
           │             ??                                                                                                                                                                                     │
           │         else:                                                                                                                                                                                      │
           │           if (self.state == "YELLOW"):                                                                                                                                                             │
           │             self.count = (self.count + 1)                                                                                                                                                          │
           │             if (self.count >= 5):                                                                                                                                                                  │
           │               ??                                                                                                                                                                                   │
           │     if (self.next_state == "RED"):                                                                                                                                                                 │
           │       self.sigR = True                                                                                                                                                                             │
           │       self.sigG = False                                                                                                                                                                            │
           │       self.sigY = False                                                                                                                                                                            │
           │     else:                                                                                                                                                                                          │
           │       if (self.next_state == "GREEN"):                                                                                                                                                             │
           │         self.sigR = False                                                                                                                                                                          │
           │         self.sigG = True                                                                                                                                                                           │
           │         self.sigY = False                                                                                                                                                                          │
           │       else:                                                                                                                                                                                        │
           │         if (self.next_state == "YELLOW"):                                                                                                                                                          │
           │           self.sigR = False                                                                                                                                                                        │
           │           self.sigG = False                                                                                                                                                                        │
           │           self.sigY = True                                                                                                                                                                         │
           │         else:                                                                                                                                                                                      │
           │           if (self.next_state == "PENDING"):                                                                                                                                                       │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = True                                                                                                                                                                       │
           │             self.sigY = False                                                                                                                                                                      │
           │     self.state = self.next_state                                                                                                                                                                   │
           │     self.count = 0                                                                                                                                                                                 │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (not (self.sigR and self.sigG) and ((self.state != "YELLOW") or ((self.count >= 60) or (self.state == "PENDING"))))                                                                     │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ 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 a pedestrian pushing a   │
           │ button to request a walk light. 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 sigG, sigY, sigR, pedestrian and count.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:41:31] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class TrafficLightStateMachine(Module):                                                                                                                                                            │
           │     def types(self):                                                                                                                                                                               │
           │         self.State = Enum("GREEN", "RED", "YELLOW", "PENDING")                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.next_state = self.State                                                                                                                                                               │
           │         self.state = self.State                                                                                                                                                                    │
           │         self.count = int                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.pedestrian = bool                                                                                                                                                                     │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         self.sigR = bool                                                                                                                                                                           │
           │         self.sigG = bool                                                                                                                                                                           │
           │         self.sigY = bool                                                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         self.sigR = True                                                                                                                                                                           │
           │         self.sigG = False                                                                                                                                                                          │
           │         self.sigY = False                                                                                                                                                                          │
           │         self.state = "RED"                                                                                                                                                                         │
           │         self.count = 0                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if self.state == "RED":                                                                                                                                                                    │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 60:                                                                                                                                                                   │
           │                 self.next_state = "GREEN"                                                                                                                                                          │
           │         elif self.state == "GREEN":                                                                                                                                                                │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.pedestrian and self.count >= 60:                                                                                                                                               │
           │                 self.next_state = "YELLOW"                                                                                                                                                         │
           │             elif self.pedestrian:                                                                                                                                                                  │
           │                 self.next_state = "PENDING"                                                                                                                                                        │
           │             else:                                                                                                                                                                                  │
           │                 self.next_state = "GREEN"                                                                                                                                                          │
           │         elif self.state == "PENDING":                                                                                                                                                              │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 60:                                                                                                                                                                   │
           │                 self.next_state = "YELLOW"                                                                                                                                                         │
           │         elif self.state == "YELLOW":                                                                                                                                                               │
           │             self.count += 1                                                                                                                                                                        │
           │             if self.count >= 5:                                                                                                                                                                    │
           │                 self.next_state = "RED"                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │         # Update signals based on next state                                                                                                                                                       │
           │         if self.next_state == "RED":                                                                                                                                                               │
           │             self.sigR = True                                                                                                                                                                       │
           │             self.sigG = False                                                                                                                                                                      │
           │             self.sigY = False                                                                                                                                                                      │
           │         elif self.next_state == "GREEN":                                                                                                                                                           │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = True                                                                                                                                                                       │
           │             self.sigY = False                                                                                                                                                                      │
           │         elif self.next_state == "YELLOW":                                                                                                                                                          │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = False                                                                                                                                                                      │
           │             self.sigY = True                                                                                                                                                                       │
           │         elif self.next_state == "PENDING":                                                                                                                                                         │
           │             self.sigR = False                                                                                                                                                                      │
           │             self.sigG = True                                                                                                                                                                       │
           │             self.sigY = False                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │         self.state = self.next_state                                                                                                                                                               │
           │         self.count = 0                                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return not (self.sigR and self.sigG) and ((self.state != "YELLOW") or (self.count >= 60) or (self.state == "PENDING"))                                                                     │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ This Python code now models a traffic light state machine with appropriate transitions and ensures correct operations under the specified conditions. The signal outputs correctly correspond to   │
           │ the internal states, and transitions depend on both time elapsed (`self.count`) and the pedestrian input.                                                                                          │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────── 🤖 Extracted: ─────────────────────────────────────────────────────────╮                                                                     utils.py:24
           │                                                                                                                                │
           │ class TrafficLightStateMachine(Module):                                                                                        │
           │     def types(self):                                                                                                           │
           │         self.State = Enum("GREEN", "RED", "YELLOW", "PENDING")                                                                 │
           │                                                                                                                                │
           │     def locals(self):                                                                                                          │
           │         self.next_state = self.State                                                                                           │
           │         self.state = self.State                                                                                                │
           │         self.count = int                                                                                                       │
           │                                                                                                                                │
           │     def inputs(self):                                                                                                          │
           │         self.pedestrian = bool                                                                                                 │
           │                                                                                                                                │
           │     def outputs(self):                                                                                                         │
           │         self.sigR = bool                                                                                                       │
           │         self.sigG = bool                                                                                                       │
           │         self.sigY = bool                                                                                                       │
           │                                                                                                                                │
           │     def init(self):                                                                                                            │
           │         self.sigR = True                                                                                                       │
           │         self.sigG = False                                                                                                      │
           │         self.sigY = False                                                                                                      │
           │         self.state = "RED"                                                                                                     │
           │         self.count = 0                                                                                                         │
           │                                                                                                                                │
           │     def next(self):                                                                                                            │
           │         if self.state == "RED":                                                                                                │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 60:                                                                                               │
           │                 self.next_state = "GREEN"                                                                                      │
           │         elif self.state == "GREEN":                                                                                            │
           │             self.count += 1                                                                                                    │
           │             if self.pedestrian and self.count >= 60:                                                                           │
           │                 self.next_state = "YELLOW"                                                                                     │
           │             elif self.pedestrian:                                                                                              │
           │                 self.next_state = "PENDING"                                                                                    │
           │             else:                                                                                                              │
           │                 self.next_state = "GREEN"                                                                                      │
           │         elif self.state == "PENDING":                                                                                          │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 60:                                                                                               │
           │                 self.next_state = "YELLOW"                                                                                     │
           │         elif self.state == "YELLOW":                                                                                           │
           │             self.count += 1                                                                                                    │
           │             if self.count >= 5:                                                                                                │
           │                 self.next_state = "RED"                                                                                        │
           │                                                                                                                                │
           │         # Update signals based on next state                                                                                   │
           │         if self.next_state == "RED":                                                                                           │
           │             self.sigR = True                                                                                                   │
           │             self.sigG = False                                                                                                  │
           │             self.sigY = False                                                                                                  │
           │         elif self.next_state == "GREEN":                                                                                       │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │         elif self.next_state == "YELLOW":                                                                                      │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = False                                                                                                  │
           │             self.sigY = True                                                                                                   │
           │         elif self.next_state == "PENDING":                                                                                     │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │                                                                                                                                │
           │         self.state = self.next_state                                                                                           │
           │         self.count = 0                                                                                                         │
           │                                                                                                                                │
           │     def specification(self):                                                                                                   │
           │         return not (self.sigR and self.sigG) and ((self.state != "YELLOW") or (self.count >= 60) or (self.state == "PENDING")) │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:41:32] ╭───────────────────────────────────────────────────────── 🤖 Repaired: ─────────────────────────────────────────────────────────╮                                                                     utils.py:24
           │ class TrafficLightStateMachine(Module):                                                                                        │
           │   def types(self):                                                                                                             │
           │     self.State = Enum("GREEN", "PENDING", "RED", "YELLOW")                                                                     │
           │                                                                                                                                │
           │   def locals(self):                                                                                                            │
           │     self.next_state = self.State                                                                                               │
           │     self.state = self.State                                                                                                    │
           │     self.count = int                                                                                                           │
           │                                                                                                                                │
           │   def inputs(self):                                                                                                            │
           │     self.pedestrian = bool                                                                                                     │
           │                                                                                                                                │
           │   def outputs(self):                                                                                                           │
           │     self.sigR = bool                                                                                                           │
           │     self.sigG = bool                                                                                                           │
           │     self.sigY = bool                                                                                                           │
           │                                                                                                                                │
           │   def init(self):                                                                                                              │
           │     self.sigR = True                                                                                                           │
           │     self.sigG = False                                                                                                          │
           │     self.sigY = False                                                                                                          │
           │     self.state = "RED"                                                                                                         │
           │     self.count = 0                                                                                                             │
           │                                                                                                                                │
           │   def next(self):                                                                                                              │
           │     if (self.state == "RED"):                                                                                                  │
           │       self.count = (self.count + 1)                                                                                            │
           │       if (self.count >= 60):                                                                                                   │
           │         self.next_state = "GREEN"                                                                                              │
           │     else:                                                                                                                      │
           │       if (self.state == "GREEN"):                                                                                              │
           │         self.count = (self.count + 1)                                                                                          │
           │         if (self.pedestrian and (self.count >= 60)):                                                                           │
           │           self.next_state = "YELLOW"                                                                                           │
           │         else:                                                                                                                  │
           │           if self.pedestrian:                                                                                                  │
           │             self.next_state = "PENDING"                                                                                        │
           │           else:                                                                                                                │
           │             self.next_state = "GREEN"                                                                                          │
           │       else:                                                                                                                    │
           │         if (self.state == "PENDING"):                                                                                          │
           │           self.count = (self.count + 1)                                                                                        │
           │           if (self.count >= 60):                                                                                               │
           │             self.next_state = "YELLOW"                                                                                         │
           │         else:                                                                                                                  │
           │           if (self.state == "YELLOW"):                                                                                         │
           │             self.count = (self.count + 1)                                                                                      │
           │             if (self.count >= 5):                                                                                              │
           │               self.next_state = "RED"                                                                                          │
           │     if (self.next_state == "RED"):                                                                                             │
           │       self.sigR = True                                                                                                         │
           │       self.sigG = False                                                                                                        │
           │       self.sigY = False                                                                                                        │
           │     else:                                                                                                                      │
           │       if (self.next_state == "GREEN"):                                                                                         │
           │         self.sigR = False                                                                                                      │
           │         self.sigG = True                                                                                                       │
           │         self.sigY = False                                                                                                      │
           │       else:                                                                                                                    │
           │         if (self.next_state == "YELLOW"):                                                                                      │
           │           self.sigR = False                                                                                                    │
           │           self.sigG = False                                                                                                    │
           │           self.sigY = True                                                                                                     │
           │         else:                                                                                                                  │
           │           if (self.next_state == "PENDING"):                                                                                   │
           │             self.sigR = False                                                                                                  │
           │             self.sigG = True                                                                                                   │
           │             self.sigY = False                                                                                                  │
           │     self.state = self.next_state                                                                                               │
           │     self.count = 0                                                                                                             │
           │                                                                                                                                │
           │   def specification(self):                                                                                                     │
           │     return (not (self.sigR and self.sigG) and (((self.state != "YELLOW") or (self.count >= 60)) or (self.state == "PENDING"))) │
           │                                                                                                                                │
           │                                                                                                                                │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 74     │
           │ Final Lines:    74     │
           │ LLM Calls:      2      │
           │ LLM Time:       31.27s │
           │ Repair Time:    2.69s  │
           ╰────────────────────────╯
