[22:34:29] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │ Write Python code that extends the `Module` class below to complete the following task.                                                                                                            │
           │                                                                                                                                                                                                    │
           │ > Consider a stack of nonnegative integers with capacity n (for some fixed n). Model a transition system representation of this stack. You may abstract from the values on the stack and use the   │
           │ operations top, pop, and push with their usual meaning. Use the variable name s for the stack.                                                                                                     │
           │                                                                                                                                                                                                    │
           │ 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                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:34:39] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class StackModule(Module):                                                                                                                                                                         │
           │     """Extends Module to represent a stack-based transition system with fixed capacity."""                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def __init__(self, capacity):                                                                                                                                                                  │
           │         self.capacity = capacity                                                                                                                                                                   │
           │         self.stack = []                                                                                                                                                                            │
           │         super().__init__()                                                                                                                                                                         │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         # Local variable 's' representing the stack (list of integers).                                                                                                                            │
           │         self.s = []                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         # Initialize the stack to be empty.                                                                                                                                                        │
           │         self.s = []                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         # Input variable 'value' to possibly push on the stack.                                                                                                                                    │
           │         # Input variable 'operation' to decide between pushing and popping                                                                                                                         │
           │         self.value = 0                                                                                                                                                                             │
           │         self.operation = "NOP"  # NOP means no operation.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         # Output variable 'top_value' to see the top element of the stack.                                                                                                                         │
           │         self.top_value = None                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         # Define the transition relation based on stack operations.                                                                                                                                │
           │         if self.operation == "PUSH" and len(self.s) < self.capacity:                                                                                                                               │
           │             self.s.append(self.value)                                                                                                                                                              │
           │         elif self.operation == "POP" and len(self.s) > 0:                                                                                                                                          │
           │             self.s.pop()                                                                                                                                                                           │
           │         elif self.operation == "TOP" and len(self.s) > 0:                                                                                                                                          │
           │             self.top_value = self.s[-1]                                                                                                                                                            │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         # Example invariant: stack should not exceed its capacity                                                                                                                                  │
           │         return len(self.s) <= self.capacity                                                                                                                                                        │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ This Python code extends the provided `Module` class to create a `StackModule` class that represents a basic model of a stack with fixed capacity handling push and pop operations along with      │
           │ reporting the top value. The class contains methods for initializing the stack, processing inputs (like values to push), modifying outputs, and defining transition relations and an invariant for │
           │ the size of the stack.                                                                                                                                                                             │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────── 🤖 Extracted: ───────────────────────────────────────╮                                                                                                         utils.py:24
           │                                                                                            │
           │ class StackModule(Module):                                                                 │
           │     """Extends Module to represent a stack-based transition system with fixed capacity.""" │
           │                                                                                            │
           │     def __init__(self, capacity):                                                          │
           │         self.capacity = capacity                                                           │
           │         self.stack = []                                                                    │
           │         super().__init__()                                                                 │
           │                                                                                            │
           │     def locals(self):                                                                      │
           │         # Local variable 's' representing the stack (list of integers).                    │
           │         self.s = []                                                                        │
           │                                                                                            │
           │     def init(self):                                                                        │
           │         # Initialize the stack to be empty.                                                │
           │         self.s = []                                                                        │
           │                                                                                            │
           │     def inputs(self):                                                                      │
           │         # Input variable 'value' to possibly push on the stack.                            │
           │         # Input variable 'operation' to decide between pushing and popping                 │
           │         self.value = 0                                                                     │
           │         self.operation = "NOP"  # NOP means no operation.                                  │
           │                                                                                            │
           │     def outputs(self):                                                                     │
           │         # Output variable 'top_value' to see the top element of the stack.                 │
           │         self.top_value = None                                                              │
           │                                                                                            │
           │     def next(self):                                                                        │
           │         # Define the transition relation based on stack operations.                        │
           │         if self.operation == "PUSH" and len(self.s) < self.capacity:                       │
           │             self.s.append(self.value)                                                      │
           │         elif self.operation == "POP" and len(self.s) > 0:                                  │
           │             self.s.pop()                                                                   │
           │         elif self.operation == "TOP" and len(self.s) > 0:                                  │
           │             self.top_value = self.s[-1]                                                    │
           │                                                                                            │
           │     def specification(self):                                                               │
           │         # Example invariant: stack should not exceed its capacity                          │
           │         return len(self.s) <= self.capacity                                                │
           ╰────────────────────────────────────────────────────────────────────────────────────────────╯
[22:34:40] ╭──────────────────────── 🤖 Repaired: ─────────────────────────╮                                                                                                                                      utils.py:24
           │ class StackModule(Module):                                    │
           │   def locals(self):                                           │
           │     self.capacity = Real()                                    │
           │     self.operation = Enum("POP", "PUSH", "TOP")               │
           │     self.s = Array(??, ??)                                    │
           │     self.top_value = bool                                     │
           │                                                               │
           │   def next(self):                                             │
           │     if ((self.operation == "PUSH") and (?? < self.capacity)): │
           │       ??                                                      │
           │     else:                                                     │
           │       if ((self.operation == "POP") and (?? > 0)):            │
           │         ??                                                    │
           │       else:                                                   │
           │         if ((self.operation == "TOP") and (?? > 0)):          │
           │           self.top_value = self.s[ -1]                        │
           │                                                               │
           │   def specification(self):                                    │
           │     return (?? <= self.capacity)                              │
           │                                                               │
           │                                                               │
           ╰───────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class StackModule(Module):                                                                                                                                                                         │
           │   def locals(self):                                                                                                                                                                                │
           │     self.capacity = Real()                                                                                                                                                                         │
           │     self.operation = Enum("POP", "PUSH", "TOP")                                                                                                                                                    │
           │     self.s = Array(??, ??)                                                                                                                                                                         │
           │     self.top_value = bool                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if ((self.operation == "PUSH") and (?? < self.capacity)):                                                                                                                                      │
           │       ??                                                                                                                                                                                           │
           │     else:                                                                                                                                                                                          │
           │       if ((self.operation == "POP") and (?? > 0)):                                                                                                                                                 │
           │         ??                                                                                                                                                                                         │
           │       else:                                                                                                                                                                                        │
           │         if ((self.operation == "TOP") and (?? > 0)):                                                                                                                                               │
           │           self.top_value = self.s[ -1]                                                                                                                                                             │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (?? <= self.capacity)                                                                                                                                                                   │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Consider a stack of nonnegative integers with capacity n (for some fixed n). Model a transition system representation of this stack. You may abstract from the values on the stack and use the   │
           │ operations top, pop, and push with their usual meaning. Use the variable name s for the stack.                                                                                                     │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:34:48] ╭────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────╮                                                                          utils.py:42
           │ ```python                                                                                                                 │
           │ class StackModule(Module):                                                                                                │
           │     def types(self):                                                                                                      │
           │         self.Integer = type('Integer', (object,), {})                                                                     │
           │         self.Enum = type('Enum', (object,), {})                                                                           │
           │         self.Array = type('Array', (object,), {})                                                                         │
           │         self.Real = type('Real', (object,), {})                                                                           │
           │         self.Boolean = type('Boolean', (int,), {})                                                                        │
           │                                                                                                                           │
           │     def locals(self):                                                                                                     │
           │         self.capacity = self.Real()                                                                                       │
           │         self.operation = self.Enum("POP", "PUSH", "TOP")                                                                  │
           │         self.s = self.Array(self.Integer, lambda: None)                                                                   │
           │         self.top_value = self.Boolean(0)                                                                                  │
           │         self.stack_size = self.Integer()                                                                                  │
           │                                                                                                                           │
           │     def next(self):                                                                                                       │
           │         if self.operation == "PUSH" and self.stack_size < self.capacity:                                                  │
           │             self.s = self.Integer()  # new value being pushed, assumed to be set elsewhere                                │
           │             self.stack_size += 1                                                                                          │
           │         elif self.operation == "POP" and self.stack_size > 0:                                                             │
           │             self.stack_size -= 1                                                                                          │
           │         elif self.operation == "TOP" and self.stack_size > 0:                                                             │
           │             self.top_value = self.s                                                                                       │
           │                                                                                                                           │
           │     def specification(self):                                                                                              │
           │         return self.stack_size <= self.capacity                                                                           │
           │                                                                                                                           │
           │ # Note: The code above assumes the use of simple lambdas and object types to mimic type handling and variable storage.    │
           │ # In a real application or detailed simulation, integrations with actual data types and error handling will be necessary. │
           │ ```                                                                                                                       │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────────────── 🤖 Extracted: ──────────────────────────────────────────────────────╮                                                                          utils.py:24
           │                                                                                                                           │
           │ class StackModule(Module):                                                                                                │
           │     def types(self):                                                                                                      │
           │         self.Integer = type('Integer', (object,), {})                                                                     │
           │         self.Enum = type('Enum', (object,), {})                                                                           │
           │         self.Array = type('Array', (object,), {})                                                                         │
           │         self.Real = type('Real', (object,), {})                                                                           │
           │         self.Boolean = type('Boolean', (int,), {})                                                                        │
           │                                                                                                                           │
           │     def locals(self):                                                                                                     │
           │         self.capacity = self.Real()                                                                                       │
           │         self.operation = self.Enum("POP", "PUSH", "TOP")                                                                  │
           │         self.s = self.Array(self.Integer, lambda: None)                                                                   │
           │         self.top_value = self.Boolean(0)                                                                                  │
           │         self.stack_size = self.Integer()                                                                                  │
           │                                                                                                                           │
           │     def next(self):                                                                                                       │
           │         if self.operation == "PUSH" and self.stack_size < self.capacity:                                                  │
           │             self.s = self.Integer()  # new value being pushed, assumed to be set elsewhere                                │
           │             self.stack_size += 1                                                                                          │
           │         elif self.operation == "POP" and self.stack_size > 0:                                                             │
           │             self.stack_size -= 1                                                                                          │
           │         elif self.operation == "TOP" and self.stack_size > 0:                                                             │
           │             self.top_value = self.s                                                                                       │
           │                                                                                                                           │
           │     def specification(self):                                                                                              │
           │         return self.stack_size <= self.capacity                                                                           │
           │                                                                                                                           │
           │ # Note: The code above assumes the use of simple lambdas and object types to mimic type handling and variable storage.    │
           │ # In a real application or detailed simulation, integrations with actual data types and error handling will be necessary. │
           ╰───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────── 🤖 Repaired: ───────────────────────────────╮                                                                                                                         utils.py:24
           │ class StackModule(Module):                                                 │
           │   def locals(self):                                                        │
           │     self.capacity = int                                                    │
           │     self.operation = Enum("POP", "PUSH", "TOP")                            │
           │     self.s = Array(??, ??)                                                 │
           │     self.top_value = bool                                                  │
           │     self.stack_size = int                                                  │
           │                                                                            │
           │   def next(self):                                                          │
           │     if ((self.operation == "PUSH") and (self.stack_size < self.capacity)): │
           │       self.s = ??                                                          │
           │       self.stack_size = (self.stack_size + 1)                              │
           │     else:                                                                  │
           │       if ((self.operation == "POP") and (self.stack_size > 0)):            │
           │         self.stack_size = (self.stack_size - 1)                            │
           │       else:                                                                │
           │         if ((self.operation == "TOP") and (self.stack_size > 0)):          │
           │           self.top_value = self.s[(self.stack_size - 1)]                   │
           │                                                                            │
           │   def specification(self):                                                 │
           │     return (self.stack_size <= self.capacity)                              │
           │                                                                            │
           │                                                                            │
           ╰────────────────────────────────────────────────────────────────────────────╯
[22:34:49] ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class StackModule(Module):                                                                                                                                                                         │
           │   def locals(self):                                                                                                                                                                                │
           │     self.capacity = int                                                                                                                                                                            │
           │     self.operation = Enum("POP", "PUSH", "TOP")                                                                                                                                                    │
           │     self.s = Array(??, ??)                                                                                                                                                                         │
           │     self.top_value = bool                                                                                                                                                                          │
           │     self.stack_size = int                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if ((self.operation == "PUSH") and (self.stack_size < self.capacity)):                                                                                                                         │
           │       self.s = ??                                                                                                                                                                                  │
           │       self.stack_size = (self.stack_size + 1)                                                                                                                                                      │
           │     else:                                                                                                                                                                                          │
           │       if ((self.operation == "POP") and (self.stack_size > 0)):                                                                                                                                    │
           │         self.stack_size = (self.stack_size - 1)                                                                                                                                                    │
           │       else:                                                                                                                                                                                        │
           │         if ((self.operation == "TOP") and (self.stack_size > 0)):                                                                                                                                  │
           │           self.top_value = self.s[(self.stack_size - 1)]                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.stack_size <= self.capacity)                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Consider a stack of nonnegative integers with capacity n (for some fixed n). Model a transition system representation of this stack. You may abstract from the values on the stack and use the   │
           │ operations top, pop, and push with their usual meaning. Use the variable name s for the stack.                                                                                                     │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:34:56] ╭────────────────────────────── 🧠 Response: ──────────────────────────────╮                                                                                                                           utils.py:42
           │ ```python                                                                │
           │ class StackModule(Module):                                               │
           │     def locals(self):                                                    │
           │         self.capacity = int                                              │
           │         self.operation = Enum("POP", "PUSH", "TOP")                      │
           │         self.s = Array(int, self.capacity)                               │
           │         self.top_value = int                                             │
           │         self.stack_size = int                                            │
           │                                                                          │
           │     def next(self):                                                      │
           │         if self.operation == "PUSH" and self.stack_size < self.capacity: │
           │             self.s = self.top_value                                      │
           │             self.stack_size += 1                                         │
           │         elif self.operation == "POP" and self.stack_size > 0:            │
           │             self.stack_size -= 1                                         │
           │         elif self.operation == "TOP" and self.stack_size > 0:            │
           │             self.top_value = self.s                                      │
           │                                                                          │
           │     def specification(self):                                             │
           │         return self.stack_size <= self.capacity                          │
           │ ```                                                                      │
           ╰──────────────────────────────────────────────────────────────────────────╯
           ╭───────────────────────────── 🤖 Extracted: ──────────────────────────────╮                                                                                                                           utils.py:24
           │                                                                          │
           │ class StackModule(Module):                                               │
           │     def locals(self):                                                    │
           │         self.capacity = int                                              │
           │         self.operation = Enum("POP", "PUSH", "TOP")                      │
           │         self.s = Array(int, self.capacity)                               │
           │         self.top_value = int                                             │
           │         self.stack_size = int                                            │
           │                                                                          │
           │     def next(self):                                                      │
           │         if self.operation == "PUSH" and self.stack_size < self.capacity: │
           │             self.s = self.top_value                                      │
           │             self.stack_size += 1                                         │
           │         elif self.operation == "POP" and self.stack_size > 0:            │
           │             self.stack_size -= 1                                         │
           │         elif self.operation == "TOP" and self.stack_size > 0:            │
           │             self.top_value = self.s                                      │
           │                                                                          │
           │     def specification(self):                                             │
           │         return self.stack_size <= self.capacity                          │
           ╰──────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────── 🤖 Repaired: ───────────────────────────────╮                                                                                                                         utils.py:24
           │ class StackModule(Module):                                                 │
           │   def locals(self):                                                        │
           │     self.?? = int                                                          │
           │     self.operation = Enum("POP", "PUSH", "TOP")                            │
           │     self.s = Array(int, self.capacity)                                     │
           │     self.top_value = int                                                   │
           │     self.stack_size = int                                                  │
           │                                                                            │
           │   def next(self):                                                          │
           │     if ((self.operation == "PUSH") and (self.stack_size < self.capacity)): │
           │       self.s = self.top_value                                              │
           │       self.stack_size = (self.stack_size + 1)                              │
           │     else:                                                                  │
           │       if ((self.operation == "POP") and (self.stack_size > 0)):            │
           │         self.stack_size = (self.stack_size - 1)                            │
           │       else:                                                                │
           │         if ((self.operation == "TOP") and (self.stack_size > 0)):          │
           │           self.top_value = self.s[(self.stack_size - 1)]                   │
           │                                                                            │
           │   def specification(self):                                                 │
           │     return (self.stack_size <= self.capacity)                              │
           │                                                                            │
           │                                                                            │
           ╰────────────────────────────────────────────────────────────────────────────╯
           ╭──────────────────────────────────────────────────────────────────────────────────────────── 🤖 Prompt: ────────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:24
           │                                                                                                                                                                                                    │
           │ Fix the following Python code by replacing every occurrence of `??` with the correct code.                                                                                                         │
           │ ```python                                                                                                                                                                                          │
           │ class StackModule(Module):                                                                                                                                                                         │
           │   def locals(self):                                                                                                                                                                                │
           │     self.?? = int                                                                                                                                                                                  │
           │     self.operation = Enum("POP", "PUSH", "TOP")                                                                                                                                                    │
           │     self.s = Array(int, self.capacity)                                                                                                                                                             │
           │     self.top_value = int                                                                                                                                                                           │
           │     self.stack_size = int                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │   def next(self):                                                                                                                                                                                  │
           │     if ((self.operation == "PUSH") and (self.stack_size < self.capacity)):                                                                                                                         │
           │       self.s = self.top_value                                                                                                                                                                      │
           │       self.stack_size = (self.stack_size + 1)                                                                                                                                                      │
           │     else:                                                                                                                                                                                          │
           │       if ((self.operation == "POP") and (self.stack_size > 0)):                                                                                                                                    │
           │         self.stack_size = (self.stack_size - 1)                                                                                                                                                    │
           │       else:                                                                                                                                                                                        │
           │         if ((self.operation == "TOP") and (self.stack_size > 0)):                                                                                                                                  │
           │           self.top_value = self.s[(self.stack_size - 1)]                                                                                                                                           │
           │                                                                                                                                                                                                    │
           │   def specification(self):                                                                                                                                                                         │
           │     return (self.stack_size <= self.capacity)                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ ```                                                                                                                                                                                                │
           │ Make sure that your code extends the `Module` class below and that it completes the following task.                                                                                                │
           │                                                                                                                                                                                                    │
           │ > Consider a stack of nonnegative integers with capacity n (for some fixed n). Model a transition system representation of this stack. You may abstract from the values on the stack and use the   │
           │ operations top, pop, and push with their usual meaning. Use the variable name s for the stack.                                                                                                     │
           │                                                                                                                                                                                                    │
           │ Reply with your Python code inside one unique code block.                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │ ```python                                                                                                                                                                                          │
           │ class Module:                                                                                                                                                                                      │
           │     """An abstract class to represent a UCLID5 module."""                                                                                                                                          │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         """(Optional) Defines the type declarations.                                                                                                                                               │
           │         For example, the following implementation defines a 8-bit type called T:                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         def types(self):                                                                                                                                                                           │
           │             self.T = BitVector(8)                                                                                                                                                                  │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         """(Optional) Defines the local variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an 8-bit variable x                                                                                                                      │
           │         and an integer variable y:                                                                                                                                                                 │
           │         ```                                                                                                                                                                                        │
           │         def locals(self):                                                                                                                                                                          │
           │             self.x = BitVector(8)                                                                                                                                                                  │
           │             self.y = Integer()                                                                                                                                                                     │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         """(Optional) Defines the input variables and their types.                                                                                                                                 │
           │         For example, the following implementation defines an input variable x,                                                                                                                     │
           │         which is an array of 8-bit bitvectors indexed by 2-bit bitvectors:                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def inputs(self):                                                                                                                                                                          │
           │             self.x = Array(BitVector(2), BitVector(8))                                                                                                                                             │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         """(Optional) Defines the output variables and their types.                                                                                                                                │
           │         For example, the following implementation defines an output variable y,                                                                                                                    │
           │         which is a real number:                                                                                                                                                                    │
           │         ```                                                                                                                                                                                        │
           │         def outputs(self):                                                                                                                                                                         │
           │             self.y = Real()                                                                                                                                                                        │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         """(Optional) Defines the shared variables and their types.                                                                                                                                │
           │         For example, the following implementation defines a shared variable z,                                                                                                                     │
           │         which is an array of booleans indexed by integers:                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         def shared_vars(self):                                                                                                                                                                     │
           │             self.z = Array(Integer(), Boolean())                                                                                                                                                   │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         """(Optional) Defines the instances of other modules and relates their                                                                                                                     │
           │         input, output, and shared variables to local variables. Every instance                                                                                                                     │
           │         variable must be related to a local variable. For example, let M be                                                                                                                        │
           │         another module with inputs x and y, and output z. The following                                                                                                                            │
           │         implementation defines an instance of M called m, and connects M's                                                                                                                         │
           │         input variable x to the local variable self.a, M's input variable y to                                                                                                                     │
           │         the local variable self.b, and M's output variable z to the local                                                                                                                          │
           │         variable self.c:                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         def instances(self):                                                                                                                                                                       │
           │             self.m = M(x=self.a, y=self.b, z=self.c)                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         """(Optional) Defines how variables are initialized.                                                                                                                                       │
           │         For example, the following implementation initializes x to 0 if y is                                                                                                                       │
           │         greater than or equal to 20:                                                                                                                                                               │
           │         ```                                                                                                                                                                                        │
           │         def init(self):                                                                                                                                                                            │
           │             if self.y >= 20:                                                                                                                                                                       │
           │                 self.x = 0                                                                                                                                                                         │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         """(Optional) Defines the transition relation.                                                                                                                                             │
           │         For example, the following implementation increments x or decrements y                                                                                                                     │
           │         depending on z:                                                                                                                                                                            │
           │         ```                                                                                                                                                                                        │
           │         def next(self):                                                                                                                                                                            │
           │             if self.z:                                                                                                                                                                             │
           │                 self.x = self.x + 1                                                                                                                                                                │
           │             else:                                                                                                                                                                                  │
           │                 self.y = self.y - 1                                                                                                                                                                │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         """(Optional) Defines the specification in terms of invariant properties.                                                                                                                  │
           │                                                                                                                                                                                                    │
           │         Returns:                                                                                                                                                                                   │
           │             bool: True if the specification is satisfied, False otherwise.                                                                                                                         │
           │                                                                                                                                                                                                    │
           │         For example, the following implementation defines two invariants:                                                                                                                          │
           │         ```                                                                                                                                                                                        │
           │         def specification(self):                                                                                                                                                                   │
           │             return self.x < 10 and self.y > 0                                                                                                                                                      │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         """(Optional) Defines the control block.                                                                                                                                                   │
           │         For example, the following implementation uses 1-induction to prove                                                                                                                        │
           │         that the specification always holds:                                                                                                                                                       │
           │         ```                                                                                                                                                                                        │
           │         def proof(self):                                                                                                                                                                           │
           │             induction(1)                                                                                                                                                                           │
           │         ```                                                                                                                                                                                        │
           │         """                                                                                                                                                                                        │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │ I can definitely do that! Here is the fixed Python code:                                                                                                                                           │
           │ ```python                                                                                                                                                                                          │
           │                                                                                                                                                                                                    │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
[22:35:04] ╭─────────────────────────────────────────────────────────────────────────────────────────── 🧠 Response: ───────────────────────────────────────────────────────────────────────────────────────────╮ utils.py:42
           │ ```python                                                                                                                                                                                          │
           │ class StackModule(Module):                                                                                                                                                                         │
           │     def locals(self):                                                                                                                                                                              │
           │         self.capacity = int  # Define the capacity as an integer                                                                                                                                   │
           │         self.operation = Enum("POP", "PUSH", "TOP")                                                                                                                                                │
           │         self.s = Array(int, self.capacity)  # Define the stack s with elements of type int and indexed by capacity                                                                                 │
           │         self.top_value = int                                                                                                                                                                       │
           │         self.stack_size = int                                                                                                                                                                      │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         if (self.operation == "PUSH") and (self.stack_size < self.capacity):                                                                                                                       │
           │             self.s = self.top_value                                                                                                                                                                │
           │             self.stack_size += 1                                                                                                                                                                   │
           │         elif (self.operation == "POP") and (self.stack_size > 0):                                                                                                                                  │
           │             self.stack_size -= 1                                                                                                                                                                   │
           │         elif (self.operation == "TOP") and (self.stack_size > 0):                                                                                                                                  │
           │             self.top_value = self.s                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return self.stack_size <= self.capacity                                                                                                                                                    │
           │                                                                                                                                                                                                    │
           │ # Below is the provided Module class updated to work efficiently when extended                                                                                                                     │
           │                                                                                                                                                                                                    │
           │ class Module:                                                                                                                                                                                      │
           │     def __init__(self):                                                                                                                                                                            │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def types(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def locals(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def inputs(self):                                                                                                                                                                              │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def outputs(self):                                                                                                                                                                             │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def shared_vars(self):                                                                                                                                                                         │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def instances(self):                                                                                                                                                                           │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def init(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def next(self):                                                                                                                                                                                │
           │         pass                                                                                                                                                                                       │
           │                                                                                                                                                                                                    │
           │     def specification(self):                                                                                                                                                                       │
           │         return True                                                                                                                                                                                │
           │                                                                                                                                                                                                    │
           │     def proof(self):                                                                                                                                                                               │
           │         pass                                                                                                                                                                                       │
           │ ```                                                                                                                                                                                                │
           │ This corrected code includes the relevant fixes and missing parts for the `StackModule` that extends the abstract `Module` class. It defines the required fields and methods for the module to     │
           │ operate as a stack with push, pop, and top operations.                                                                                                                                             │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭────────────────────────────────────────────────── 🤖 Extracted: ───────────────────────────────────────────────────╮                                                                                 utils.py:24
           │                                                                                                                    │
           │ class StackModule(Module):                                                                                         │
           │     def locals(self):                                                                                              │
           │         self.capacity = int  # Define the capacity as an integer                                                   │
           │         self.operation = Enum("POP", "PUSH", "TOP")                                                                │
           │         self.s = Array(int, self.capacity)  # Define the stack s with elements of type int and indexed by capacity │
           │         self.top_value = int                                                                                       │
           │         self.stack_size = int                                                                                      │
           │                                                                                                                    │
           │     def next(self):                                                                                                │
           │         if (self.operation == "PUSH") and (self.stack_size < self.capacity):                                       │
           │             self.s = self.top_value                                                                                │
           │             self.stack_size += 1                                                                                   │
           │         elif (self.operation == "POP") and (self.stack_size > 0):                                                  │
           │             self.stack_size -= 1                                                                                   │
           │         elif (self.operation == "TOP") and (self.stack_size > 0):                                                  │
           │             self.top_value = self.s                                                                                │
           │                                                                                                                    │
           │     def specification(self):                                                                                       │
           │         return self.stack_size <= self.capacity                                                                    │
           │                                                                                                                    │
           │ # Below is the provided Module class updated to work efficiently when extended                                     │
           │                                                                                                                    │
           │ class Module:                                                                                                      │
           │     def __init__(self):                                                                                            │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def types(self):                                                                                               │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def locals(self):                                                                                              │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def inputs(self):                                                                                              │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def outputs(self):                                                                                             │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def shared_vars(self):                                                                                         │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def instances(self):                                                                                           │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def init(self):                                                                                                │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def next(self):                                                                                                │
           │         pass                                                                                                       │
           │                                                                                                                    │
           │     def specification(self):                                                                                       │
           │         return True                                                                                                │
           │                                                                                                                    │
           │     def proof(self):                                                                                               │
           │         pass                                                                                                       │
           ╰────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╯
           ╭─────────────────────────────── 🤖 Repaired: ───────────────────────────────╮                                                                                                                         utils.py:24
           │ class StackModule(Module):                                                 │
           │   def locals(self):                                                        │
           │     self.capacity = int                                                    │
           │     self.operation = Enum("POP", "PUSH", "TOP")                            │
           │     self.s = Array(int, int)                                               │
           │     self.top_value = int                                                   │
           │     self.stack_size = int                                                  │
           │                                                                            │
           │   def next(self):                                                          │
           │     if ((self.operation == "PUSH") and (self.stack_size < self.capacity)): │
           │       self.s = self.top_value                                              │
           │       self.stack_size = (self.stack_size + 1)                              │
           │     else:                                                                  │
           │       if ((self.operation == "POP") and (self.stack_size > 0)):            │
           │         self.stack_size = (self.stack_size - 1)                            │
           │       else:                                                                │
           │         if ((self.operation == "TOP") and (self.stack_size > 0)):          │
           │           self.top_value = self.s[(self.stack_size - 1)]                   │
           │                                                                            │
           │   def specification(self):                                                 │
           │     return (self.stack_size <= self.capacity)                              │
           │                                                                            │
           │                                                                            │
           ╰────────────────────────────────────────────────────────────────────────────╯
           ╭────── 🤖 Stats: ───────╮                                                                                                                                                                             utils.py:24
           │ Original Lines: 39     │
           │ Final Lines:    22     │
           │ LLM Calls:      4      │
           │ LLM Time:       32.96s │
           │ Repair Time:    2.29s  │
           ╰────────────────────────╯
