"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-06 06:23:17.240785
"""

```python
from typing import List, Dict


class ReasoningEngine:
    """
    A simple reasoning engine that can solve limited logical problems.
    This engine supports basic AND, OR, NOT operations on boolean values.

    Attributes:
        knowledge_base (Dict[str, bool]): Stores the state of propositions.
        rules (List[Callable[[bool], bool]]): List of functions representing logical rules.
    """

    def __init__(self):
        self.knowledge_base = {}
        self.rules = []

    def add_knowledge(self, proposition: str, value: bool) -> None:
        """
        Add or update a proposition in the knowledge base.

        Args:
            proposition (str): The name of the proposition.
            value (bool): The boolean value of the proposition.
        """
        self.knowledge_base[proposition] = value

    def add_rule(self, rule: Callable[[bool], bool]) -> None:
        """
        Add a logical rule to the engine.

        Args:
            rule (Callable[[bool], bool]): A function that takes a boolean and returns a boolean.
        """
        self.rules.append(rule)

    def infer(self) -> Dict[str, bool]:
        """
        Infer new knowledge from existing propositions and rules.

        Returns:
            Dict[str, bool]: The inferred state of propositions.
        """
        inference_result = self.knowledge_base.copy()
        for rule in self.rules:
            for proposition, value in inference_result.items():
                if not rule(value):
                    break
            else:
                # If the loop completes without breaking (meaning no contradiction)
                # we can infer new knowledge from some of the rules.
                for prop_name in inference_result.keys():
                    inference_result[prop_name] = rule(inference_result.get(prop_name, False))
        return inference_result

    def example_usage(self) -> None:
        """
        Demonstrate how to use this reasoning engine.

        Returns:
            None
        """
        print("Initializing Reasoning Engine...")
        reasoner = ReasoningEngine()

        # Add some knowledge
        reasoner.add_knowledge('p', True)
        reasoner.add_knowledge('q', False)

        # Define and add rules (example: AND rule)
        def and_rule(x):
            return x and self.knowledge_base.get('q', False)

        reasoner.add_rule(and_rule)

        print("Inferred knowledge after adding rules:")
        inferred = reasoner.infer()
        for prop, value in inferred.items():
            print(f"{prop}: {value}")


# Example usage
if __name__ == "__main__":
    ReasoningEngine().example_usage()

```