"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-08 03:57:08.996479
"""

```python
from typing import List, Dict

class KnowledgeBase:
    def __init__(self):
        self.knowledge = {}

    def add_fact(self, key: str, value: str) -> None:
        """Add a fact to the knowledge base."""
        self.knowledge[key] = value

    def get_fact(self, key: str) -> str:
        """Retrieve a fact from the knowledge base."""
        return self.knowledge.get(key, "Fact not found")

def reasoning_engine(kb: KnowledgeBase) -> Dict[str, bool]:
    """
    A simple reasoning engine that deduces new facts based on existing ones.
    
    The engine supports AND and OR logical operators for combining facts.
    
    :param kb: An instance of the KnowledgeBase class
    :return: A dictionary containing newly derived facts
    """
    derived_facts = {}

    # Simple rule-based logic to demonstrate reasoning
    if (kb.get_fact("A") == "True" and kb.get_fact("B") == "True"):
        derived_facts["A AND B"] = True

    if ((kb.get_fact("C") == "True" or kb.get_fact("D") == "True")):
        derived_facts["C OR D"] = True

    return derived_facts


# Example usage
if __name__ == "__main__":
    # Initialize knowledge base
    kb = KnowledgeBase()
    
    # Add some facts to the knowledge base
    kb.add_fact("A", "True")
    kb.add_fact("B", "False")
    kb.add_fact("C", "True")
    kb.add_fact("D", "False")

    # Run reasoning engine and print derived facts
    derived_facts = reasoning_engine(kb)
    for key, value in derived_facts.items():
        print(f"{key}: {value}")
```

This code snippet creates a simple knowledge base and implements a basic reasoning engine that can derive new facts from existing ones using logical operations. The example usage demonstrates how to initialize the knowledge base, add some facts, and use the reasoning engine to deduce additional information.