[20:54:43] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Consider a street junction with 4 incoming roads. Each of the 4 roads has a traffic light, which are L1, L2, L3, L4. The traffic light has 4 states: green, yellow, red, and amber which happen  │
           │ in that order. Write a model of this junction with 4 traffic lights, showing a reasonable controller C that switches the green traffic lights in the following order: L1 and L3 together, then L2, │
           │ then L4. Use the variable names L1, L2, L3, L4, green, yellow, red, amber.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the Python code:                                                                                                                                                 │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:54:49] ╭───────── 🧠 Response: ──────────╮                                                                                                                                                                    utils.py:42
           │ class TrafficLights(Module):    │
           │     def locals(self):           │
           │         self.L1 = Boolean()     │
           │         self.L2 = Boolean()     │
           │         self.L3 = Boolean()     │
           │         self.L4 = Boolean()     │
           │         self.green = Boolean()  │
           │         self.yellow = Boolean() │
           │         self.red = Boolean()    │
           │         self.amber = Boolean()  │
           │                                 │
           │     def init(self):             │
           │         self.L1 = False         │
           │         self.L2 = False         │
           │         self.L3 = False         │
           │         self.L4 = False         │
           │         self.green = True       │
           │         self.yellow = False     │
           │         self.red = False        │
           │         self.amber = False      │
           │                                 │
           │     def next(self):             │
           │         if self.L1 or self.L3:  │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             if self.L1:         │
           │                 self.L1 = False │
           │                 self.L3 = True  │
           │             else:               │
           │                 self.L3 = False │
           │                 self.L2 = True  │
           │         elif self.L2:           │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             self.L2 = False     │
           │             self.L4 = True      │
           │         elif self.L4:           │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             self.L4 = False     │
           │             self.L1 = True      │
           │         else:                   │
           │             self.green = False  │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = True   │
           │ ```                             │
           ╰─────────────────────────────────╯
           ╭───────── 🤖 Extracted: ─────────╮                                                                                                                                                                    utils.py:24
           │                                 │
           │ class TrafficLights(Module):    │
           │     def locals(self):           │
           │         self.L1 = Boolean()     │
           │         self.L2 = Boolean()     │
           │         self.L3 = Boolean()     │
           │         self.L4 = Boolean()     │
           │         self.green = Boolean()  │
           │         self.yellow = Boolean() │
           │         self.red = Boolean()    │
           │         self.amber = Boolean()  │
           │                                 │
           │     def init(self):             │
           │         self.L1 = False         │
           │         self.L2 = False         │
           │         self.L3 = False         │
           │         self.L4 = False         │
           │         self.green = True       │
           │         self.yellow = False     │
           │         self.red = False        │
           │         self.amber = False      │
           │                                 │
           │     def next(self):             │
           │         if self.L1 or self.L3:  │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             if self.L1:         │
           │                 self.L1 = False │
           │                 self.L3 = True  │
           │             else:               │
           │                 self.L3 = False │
           │                 self.L2 = True  │
           │         elif self.L2:           │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             self.L2 = False     │
           │             self.L4 = True      │
           │         elif self.L4:           │
           │             self.green = True   │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = False  │
           │             self.L4 = False     │
           │             self.L1 = True      │
           │         else:                   │
           │             self.green = False  │
           │             self.yellow = False │
           │             self.red = False    │
           │             self.amber = True   │
           ╰─────────────────────────────────╯
           ╭──────── 🤖 Repaired: ─────────╮                                                                                                                                                                      utils.py:24
           │ class TrafficLights(Module):  │
           │   def locals(self):           │
           │     self.L1 = bool            │
           │     self.L2 = bool            │
           │     self.L3 = bool            │
           │     self.L4 = bool            │
           │     self.green = bool         │
           │     self.yellow = bool        │
           │     self.red = bool           │
           │     self.amber = bool         │
           │                               │
           │   def init(self):             │
           │     self.L1 = False           │
           │     self.L2 = False           │
           │     self.L3 = False           │
           │     self.L4 = False           │
           │     self.green = True         │
           │     self.yellow = False       │
           │     self.red = False          │
           │     self.amber = False        │
           │                               │
           │   def next(self):             │
           │     if (self.L1 or self.L3):  │
           │       self.green = True       │
           │       self.yellow = False     │
           │       self.red = False        │
           │       self.amber = False      │
           │       if self.L1:             │
           │         self.L1 = False       │
           │         self.L3 = True        │
           │       else:                   │
           │         self.L3 = False       │
           │         self.L2 = True        │
           │     else:                     │
           │       if self.L2:             │
           │         self.green = True     │
           │         self.yellow = False   │
           │         self.red = False      │
           │         self.amber = False    │
           │         self.L2 = False       │
           │         self.L4 = True        │
           │       else:                   │
           │         if self.L4:           │
           │           self.green = True   │
           │           self.yellow = False │
           │           self.red = False    │
           │           self.amber = False  │
           │           self.L4 = False     │
           │           self.L1 = True      │
           │         else:                 │
           │           self.green = False  │
           │           self.yellow = False │
           │           self.red = False    │
           │           self.amber = True   │
           │                               │
           │                               │
           ╰───────────────────────────────╯
           ╭────── 🤖 Stats: ──────╮                                                                                                                                                                              utils.py:24
           │ Original Lines: 53    │
           │ Final Lines:    55    │
           │ LLM Calls:      1     │
           │ LLM Time:       5.76s │
           │ Repair Time:    0.57s │
           ╰───────────────────────╯
