"""Create logic_validator
Generated by Phi-Octopus Eden
2025-11-07 17:07:52.581028
"""

```python
from typing import List


def validate_logic statements: List[str]) -> bool:
    """
    Validates if a list of logic statements are syntactically correct.
    
    Args:
        statements (List[str]): A list of strings representing logical expressions.
        
    Returns:
        bool: True if all statements are valid, False otherwise.
        
    Example usage:
        >>> validate_logic(["True and False", "x > 10 or y <= 5"])
        True
        >>> validate_logic(["not x and", "or y == z"])
        False
    """
    from logical_operators import LogicalExpressionParser

    parser = LogicalExpressionParser()
    for statement in statements:
        try:
            # Attempt to parse the statement
            parser.parse(statement)
        except SyntaxError:
            return False
    return True


class LogicalExpressionParser:
    def __init__(self):
        pass
    
    def parse(self, statement: str) -> None:
        if "not" in statement:
            self._parse_negation(statement)
        elif "and" in statement or "or" in statement:
            self._parse_conjunction_disjunction(statement)
        else:
            raise SyntaxError("Unknown logical operator")

    def _parse_negation(self, statement: str) -> None:
        # Implement negation parsing logic
        pass

    def _parse_conjunction_disjunction(self, statement: str) -> None:
        # Implement conjunction and disjunction parsing logic
        pass


# Example usage
if __name__ == "__main__":
    statements = ["True and False", "x > 10 or y <= 5"]
    print(validate_logic(statements))
```

Note: The `_parse_negation` and `_parse_conjunction_disjunction` methods are placeholders for the actual parsing logic which would involve more complex string manipulations and possibly a stack-based approach to handle nested expressions. The `LogicalExpressionParser` class is kept minimalistic to meet the 30-line requirement while still providing structure for future expansion.