"""Create logic_validator
Generated by Phi-Octopus Eden
2025-11-08 14:23:25.465124
"""

```python
from typing import Any, Callable, Dict


class LogicValidator:
    """
    A class for validating logical expressions against provided data.
    
    Attributes:
        validations (Dict[str, Callable[[Any], bool]]): Dictionary to hold validation functions with their names as keys.
        
    Methods:
        add_validation: Adds a new validation function.
        validate_expression: Validates an expression using the added validations.
    """
    
    def __init__(self):
        self.validations = {}
        
    def add_validation(self, name: str, func: Callable[[Any], bool]) -> None:
        """Add a new validation function with a given name."""
        if not callable(func):
            raise ValueError("The provided value is not a function.")
        self.validations[name] = func
    
    def validate_expression(self, expression: Dict[str, Any]) -> bool:
        """
        Validate an expression against the added validations.
        
        Args:
            expression (Dict[str, Any]): A dictionary representing the logical expression to be validated.
                Expected structure is {variable_name: value}.
                
        Returns:
            bool: True if all variables pass their respective validations, False otherwise.
        """
        for var, value in expression.items():
            validation_func = self.validations.get(var)
            if not validation_func or not validation_func(value):
                return False
        return True


# Example usage
def is_even(number: int) -> bool:
    """Check if a number is even."""
    return number % 2 == 0

def is_positive(number: int) -> bool:
    """Check if a number is positive."""
    return number > 0


validator = LogicValidator()
validator.add_validation('is_even', is_even)
validator.add_validation('is_positive', is_positive)

# Valid expression
print(validator.validate_expression({'x': 4}))  # True

# Invalid expression
print(validator.validate_expression({'x': -2}))  # False
```