[22:40:21] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > A major use of energy worldwide is in heating, ventilation, and air conditioning (HVAC) systems. Model a thermostat with hysteresis, which regulates temperature to maintain a setpoint, or      │
           │ target temperature. It should have a state for heating and cooling. Suppose the setpoint is 20 degrees Celsius. If the heater is on, then the thermostat allows the temperature to rise past the   │
           │ setpoint to 22 degrees. If the heater is off, then it allows the temperature to drop past the setpoint to 18 degrees. There is a single input temperature with type real and two pure outputs      │
           │ heatOn and heatOff. These outputs will be present only when a change in the status of the heater is needed (i.e., when it is on and needs to be turned off, or when it is off and needs to be      │
           │ turned on). Use the variable names temp, heatOn and heatOff.                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:40:47] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class ThermostatModule(Module):                                                                                                                                                                    │
           │     def __init__(self):                                                                                                                                                                            │
           │         self.setpoint = 20  # Target temperature                                                                                                                                                   │
           │         self.hysteresis_high = 22  # Upper hysteresis limit                                                                                                                                        │
           │         self.hysteresis_low = 18  # Lower hysteresis limit                                                                                                                                         │
           │         self.heater_state = False  # False means heater is OFF, True means heater is ON                                                                                                            │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         self.temp = Real()  # Current temperature as an input                                                                                                                                      │
           │         self.heatOn = Boolean()  # Output signal to turn the heater ON                                                                                                                             │
           │         self.heatOff = Boolean()  # Output signal to turn the heater OFF                                                                                                                           │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         self.temp = Real()  # Input for the current temperature                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         self.heatOn = Boolean()  # Signal to turn the heater ON                                                                                                                                    │
           │         self.heatOff = Boolean()  # Signal to turn the heater OFF                                                                                                                                  │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         # Initial state of the heater and output commands                                                                                                                                          │
           │         self.heater_state = False                                                                                                                                                                  │
           │         self.heatOn = False                                                                                                                                                                        │
           │         self.heatOff = False                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         # Determine if heater needs to be turned on or off based on temperature                                                                                                                    │
           │         if not self.heater_state and self.temp < self.hysteresis_low:                                                                                                                              │
           │             self.heatOn = True                                                                                                                                                                     │
           │             self.heatOff = False                                                                                                                                                                   │
           │             self.heater_state = True                                                                                                                                                               │
           │         elif self.heater_state and self.temp > self.hysteresis_high:                                                                                                                               │
           │             self.heatOn = False                                                                                                                                                                    │
           │             self.heatOff = True                                                                                                                                                                    │
           │             self.heater_state = False                                                                                                                                                              │
           │         else:                                                                                                                                                                                      │
           │             # No change in heater state required                                                                                                                                                   │
           │             self.heatOn = False                                                                                                                                                                    │
           │             self.heatOff = False                                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Define the invariant that must always hold                                                                                                                                               │
           │         if self.heater_state:                                                                                                                                                                      │
           │             return self.temp <= self.hysteresis_high                                                                                                                                               │
           │         else:                                                                                                                                                                                      │
           │             return self.temp >= self.hysteresis_low                                                                                                                                                │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ This code defines a `ThermostatModule` class based on the provided `Module` class skeleton. The class includes logic to control an HVAC system's heater using a hysteresis-based control strategy  │
           │ ensuring the system efficiently maintains the setpoint of 20 degrees Celsius while minimizing fluctuations and overuse of the heater. The high and low temperature thresholds for turning the      │
           │ heater on and off are set using the `hysteresis_high` and `hysteresis_low` attributes, respectively. The transition logic and heater state management are implemented in the `next()` method, and  │
           │ it defines an invariant in `specification()` as a safety requirement.                                                                                                                              │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭───────────────────────────────────── 🤖 Extracted: ─────────────────────────────────────╮                                                                                                            utils.py:24
           │                                                                                         │
           │ class ThermostatModule(Module):                                                         │
           │     def __init__(self):                                                                 │
           │         self.setpoint = 20  # Target temperature                                        │
           │         self.hysteresis_high = 22  # Upper hysteresis limit                             │
           │         self.hysteresis_low = 18  # Lower hysteresis limit                              │
           │         self.heater_state = False  # False means heater is OFF, True means heater is ON │
           │                                                                                         │
           │     def locals(self):                                                                   │
           │         self.temp = Real()  # Current temperature as an input                           │
           │         self.heatOn = Boolean()  # Output signal to turn the heater ON                  │
           │         self.heatOff = Boolean()  # Output signal to turn the heater OFF                │
           │                                                                                         │
           │     def inputs(self):                                                                   │
           │         self.temp = Real()  # Input for the current temperature                         │
           │                                                                                         │
           │     def outputs(self):                                                                  │
           │         self.heatOn = Boolean()  # Signal to turn the heater ON                         │
           │         self.heatOff = Boolean()  # Signal to turn the heater OFF                       │
           │                                                                                         │
           │     def init(self):                                                                     │
           │         # Initial state of the heater and output commands                               │
           │         self.heater_state = False                                                       │
           │         self.heatOn = False                                                             │
           │         self.heatOff = False                                                            │
           │                                                                                         │
           │     def next(self):                                                                     │
           │         # Determine if heater needs to be turned on or off based on temperature         │
           │         if not self.heater_state and self.temp < self.hysteresis_low:                   │
           │             self.heatOn = True                                                          │
           │             self.heatOff = False                                                        │
           │             self.heater_state = True                                                    │
           │         elif self.heater_state and self.temp > self.hysteresis_high:                    │
           │             self.heatOn = False                                                         │
           │             self.heatOff = True                                                         │
           │             self.heater_state = False                                                   │
           │         else:                                                                           │
           │             # No change in heater state required                                        │
           │             self.heatOn = False                                                         │
           │             self.heatOff = False                                                        │
           │                                                                                         │
           │     def specification(self):                                                            │
           │         # Define the invariant that must always hold                                    │
           │         if self.heater_state:                                                           │
           │             return self.temp <= self.hysteresis_high                                    │
           │         else:                                                                           │
           │             return self.temp >= self.hysteresis_low                                     │
           ╰─────────────────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────── 🤖 Repaired: ─────────────────────────────╮                                                                                                                              utils.py:24
           │ class ThermostatModule(Module):                                       │
           │   def locals(self):                                                   │
           │     self.heater_state = bool                                          │
           │     self.hysteresis_high = Real()                                     │
           │     self.hysteresis_low = Real()                                      │
           │                                                                       │
           │   def inputs(self):                                                   │
           │     self.temp = Real()                                                │
           │                                                                       │
           │   def outputs(self):                                                  │
           │     self.heatOn = bool                                                │
           │     self.heatOff = bool                                               │
           │                                                                       │
           │   def init(self):                                                     │
           │     self.heater_state = False                                         │
           │     self.heatOn = False                                               │
           │     self.heatOff = False                                              │
           │                                                                       │
           │   def next(self):                                                     │
           │     if (not self.heater_state and (self.temp < self.hysteresis_low)): │
           │       self.heatOn = True                                              │
           │       self.heatOff = False                                            │
           │       self.heater_state = True                                        │
           │     else:                                                             │
           │       if (self.heater_state and (self.temp > self.hysteresis_high)):  │
           │         self.heatOn = False                                           │
           │         self.heatOff = True                                           │
           │         self.heater_state = False                                     │
           │       else:                                                           │
           │         self.heatOn = False                                           │
           │         self.heatOff = False                                          │
           │                                                                       │
           │                                                                       │
           ╰───────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 47     │
           │ Final Lines:    32     │
           │ LLM Calls:      1      │
           │ LLM Time:       25.90s │
           │ Repair Time:    0.40s  │
           ╰────────────────────────╯
