"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-08 01:11:24.386731
"""

```python
from typing import List, Dict
from functools import lru_cache

class FactChecker:
    """
    A simple fact-checking system that verifies statements against a predefined knowledge base.
    This implementation uses memoization to improve performance for repeated queries on the same data.

    Attributes:
        knowledge_base (Dict[str, bool]): A dictionary mapping statements to their truth values.
    """

    def __init__(self, knowledge_base: Dict[str, bool]):
        self.knowledge_base = knowledge_base
        self._cache = {}

    @lru_cache(maxsize=None)
    def check_fact(self, statement: str) -> bool:
        """
        Check the truth value of a given statement.

        Args:
            statement (str): The statement to be checked against the knowledge base.

        Returns:
            bool: True if the statement is true according to the knowledge base, False otherwise.
        """
        return self.knowledge_base.get(statement.lower(), False)

    def check_multiple_facts(self, statements: List[str]) -> Dict[str, bool]:
        """
        Check multiple statements in one call for efficiency.

        Args:
            statements (List[str]): A list of statements to be checked against the knowledge base.

        Returns:
            Dict[str, bool]: A dictionary mapping each statement to its truth value.
        """
        results = {}
        for statement in statements:
            results[statement] = self.check_fact(statement)
        return results


# Example usage
if __name__ == "__main__":
    # Define a simple knowledge base
    knowledge_base = {
        "the moon orbits around the earth": True,
        "pyramids were built by aliens": False,
        "earth has one moon": True,
        "water is composed of hydrogen and oxygen": True,
    }

    fact_checker = FactChecker(knowledge_base)

    # Check single facts
    print(fact_checker.check_fact("the moon orbits around the earth"))  # Output: True

    # Check multiple facts at once
    statements_to_check = [
        "pyramids were built by aliens",
        "the moon orbits around the earth",
        "water is composed of carbon and oxygen"
    ]
    results = fact_checker.check_multiple_facts(statements_to_check)
    for statement, result in results.items():
        print(f"{statement}: {result}")
```

This code defines a `FactChecker` class that can verify statements against a predefined knowledge base. It uses memoization to cache the results of previously checked facts to improve performance when checking multiple facts repeatedly. The example usage demonstrates how to create an instance of `FactChecker`, check single and multiple facts, and interpret the output.