[20:52:46] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Build a model for the parallel composition of two transition systems modelling the behaviour of traffic lights at two intersection roads. Each traffic light can show either red or green. Both  │
           │ traffic lights synchronize by means of the actions A and B that indicate the change of light, e.g., action A indicates that traffic light 1 transitions from red to green, and that traffic light  │
           │ two transitions from green to red. Check whether it is possible for the traffic lights to deadlock. Use the variable names traffic_light1, traffic_light2, green1, red1, green2, red2.             │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[20:52:52] ╭────────────────────────── 🧠 Response: ───────────────────────────╮                                                                                                                                  utils.py:42
           │ class TrafficLights(Module):                                      │
           │     def types(self):                                              │
           │         self.traffic_light1 = Boolean()                           │
           │         self.traffic_light2 = Boolean()                           │
           │         self.green1 = Boolean()                                   │
           │         self.red1 = Boolean()                                     │
           │         self.green2 = Boolean()                                   │
           │         self.red2 = Boolean()                                     │
           │                                                                   │
           │     def init(self):                                               │
           │         self.traffic_light1 = self.red1                           │
           │         self.traffic_light2 = self.green2                         │
           │                                                                   │
           │     def next(self):                                               │
           │         if self.traffic_light1 and self.traffic_light2:           │
           │             next_green1 = And(self.traffic_light1, self.green1)   │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = Not(self.green2)                        │
           │             next_red2 = Not(next_green2)                          │
           │         elif not self.traffic_light1 and not self.traffic_light2: │
           │             next_green1 = Not(self.green1)                        │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = And(self.traffic_light2, self.green2)   │
           │             next_red2 = Not(next_green2)                          │
           │         elif self.traffic_light1 and not self.traffic_light2:     │
           │             next_green1 = And(self.traffic_light1, self.green1)   │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = Not(self.green2)                        │
           │             next_red2 = Not(next_green2)                          │
           │         elif not self.traffic_light1 and self.traffic_light2:     │
           │             next_green1 = Not(self.green1)                        │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = And(self.traffic_light2, self.green2)   │
           │             next_red2 = Not(next_green2)                          │
           │                                                                   │
           │         self.green1 = next_green1                                 │
           │         self.red1 = next_red1                                     │
           │         self.green2 = next_green2                                 │
           │         self.red2 = next_red2                                     │
           │                                                                   │
           │     def specification(self):                                      │
           │         deadlock = Not(And(self.green1, self.green2))             │
           │         return deadlock                                           │
           │                                                                   │
           │ # Instantiate the TrafficLights module                            │
           │ tl = TrafficLights()                                              │
           │ ```                                                               │
           ╰───────────────────────────────────────────────────────────────────╯
           ╭────────────────────────── 🤖 Extracted: ──────────────────────────╮                                                                                                                                  utils.py:24
           │                                                                   │
           │ class TrafficLights(Module):                                      │
           │     def types(self):                                              │
           │         self.traffic_light1 = Boolean()                           │
           │         self.traffic_light2 = Boolean()                           │
           │         self.green1 = Boolean()                                   │
           │         self.red1 = Boolean()                                     │
           │         self.green2 = Boolean()                                   │
           │         self.red2 = Boolean()                                     │
           │                                                                   │
           │     def init(self):                                               │
           │         self.traffic_light1 = self.red1                           │
           │         self.traffic_light2 = self.green2                         │
           │                                                                   │
           │     def next(self):                                               │
           │         if self.traffic_light1 and self.traffic_light2:           │
           │             next_green1 = And(self.traffic_light1, self.green1)   │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = Not(self.green2)                        │
           │             next_red2 = Not(next_green2)                          │
           │         elif not self.traffic_light1 and not self.traffic_light2: │
           │             next_green1 = Not(self.green1)                        │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = And(self.traffic_light2, self.green2)   │
           │             next_red2 = Not(next_green2)                          │
           │         elif self.traffic_light1 and not self.traffic_light2:     │
           │             next_green1 = And(self.traffic_light1, self.green1)   │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = Not(self.green2)                        │
           │             next_red2 = Not(next_green2)                          │
           │         elif not self.traffic_light1 and self.traffic_light2:     │
           │             next_green1 = Not(self.green1)                        │
           │             next_red1 = Not(next_green1)                          │
           │             next_green2 = And(self.traffic_light2, self.green2)   │
           │             next_red2 = Not(next_green2)                          │
           │                                                                   │
           │         self.green1 = next_green1                                 │
           │         self.red1 = next_red1                                     │
           │         self.green2 = next_green2                                 │
           │         self.red2 = next_red2                                     │
           │                                                                   │
           │     def specification(self):                                      │
           │         deadlock = Not(And(self.green1, self.green2))             │
           │         return deadlock                                           │
           │                                                                   │
           │ # Instantiate the TrafficLights module                            │
           │ tl = TrafficLights()                                              │
           ╰───────────────────────────────────────────────────────────────────╯
[20:52:53] ╭──────────────────────────── 🤖 Repaired: ────────────────────────────╮                                                                                                                               utils.py:24
           │ class TrafficLights(Module):                                         │
           │   def locals(self):                                                  │
           │     self.green1 = bool                                               │
           │     self.green2 = bool                                               │
           │     self.next_green1 = bool                                          │
           │     self.next_green2 = bool                                          │
           │     self.next_red1 = bool                                            │
           │     self.next_red2 = bool                                            │
           │     self.red1 = bool                                                 │
           │     self.red2 = bool                                                 │
           │     self.traffic_light1 = bool                                       │
           │     self.traffic_light2 = bool                                       │
           │                                                                      │
           │   def init(self):                                                    │
           │     self.traffic_light1 = self.red1                                  │
           │     self.traffic_light2 = self.green2                                │
           │                                                                      │
           │   def next(self):                                                    │
           │     if (self.traffic_light1 and self.traffic_light2):                │
           │       self.next_green1 = (self.traffic_light1 and self.green1)       │
           │       self.next_red1 = not self.next_green1                          │
           │       self.next_green2 = not self.green2                             │
           │       self.next_red2 = not self.next_green2                          │
           │     else:                                                            │
           │       if (not self.traffic_light1 and not self.traffic_light2):      │
           │         self.next_green1 = not self.green1                           │
           │         self.next_red1 = not self.next_green1                        │
           │         self.next_green2 = (self.traffic_light2 and self.green2)     │
           │         self.next_red2 = not self.next_green2                        │
           │       else:                                                          │
           │         if (self.traffic_light1 and not self.traffic_light2):        │
           │           self.next_green1 = (self.traffic_light1 and self.green1)   │
           │           self.next_red1 = not self.next_green1                      │
           │           self.next_green2 = not self.green2                         │
           │           self.next_red2 = not self.next_green2                      │
           │         else:                                                        │
           │           if (not self.traffic_light1 and self.traffic_light2):      │
           │             self.next_green1 = not self.green1                       │
           │             self.next_red1 = not self.next_green1                    │
           │             self.next_green2 = (self.traffic_light2 and self.green2) │
           │             self.next_red2 = not self.next_green2                    │
           │     self.green1 = self.next_green1                                   │
           │     self.red1 = self.next_red1                                       │
           │     self.green2 = self.next_green2                                   │
           │     self.red2 = self.next_red2                                       │
           │                                                                      │
           │                                                                      │
           ╰──────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ──────╮                                                                                                                                                                              utils.py:24
           │ Original Lines: 47    │
           │ Final Lines:    46    │
           │ LLM Calls:      1     │
           │ LLM Time:       6.01s │
           │ Repair Time:    0.81s │
           ╰───────────────────────╯
