"""Create logic_validator
Generated by Phi-Octopus Eden
2025-11-07 10:03:40.802384
"""

```python
from typing import Callable, TypeVar, Generic
from functools import wraps

T = TypeVar('T')

class LogicValidator(Generic[T]):
    """
    A decorator class for validating logic in functions or methods.
    Ensures that a function's input and output adhere to specific conditions.

    :param func: The function or method to be decorated.
    """

    def __init__(self, func: Callable[[T], T]) -> None:
        self.func = func

    def __call__(self, value: T) -> T:
        """
        Decorates the function and performs validation on the input and output.

        :param value: The input value to be passed to the decorated function.
        :return: The validated or transformed output from the decorated function.
        """
        result = self.func(value)
        # Example of a simple validation logic
        if not isinstance(result, int):
            raise ValueError("Output must be an integer.")
        return result

    @staticmethod
    def validate_output(func: Callable[[T], T]) -> Callable[[T], T]:
        """
        Decorator to enforce output validation on the decorated function.

        :param func: The function to apply output validation.
        :return: The validated function.
        """
        @wraps(func)
        def wrapper(value: T) -> T:
            result = func(value)
            if not isinstance(result, int):
                raise ValueError("Output must be an integer.")
            return result
        return wrapper

# Example usage
@LogicValidator.validate_output
def increment(value: int) -> int:
    """
    Increment the given value by 1.
    
    :param value: An integer to increment.
    :return: The incremented integer.
    """
    # This function has limited reasoning, only adding one to the input.
    return value + 1

# Testing the logic validator
try:
    result = increment(5)
    print(f"Incremented value: {result}")
except ValueError as e:
    print(e)

# Providing a non-integer input for testing validation failure
try:
    invalid_result = increment('6')
    print(invalid_result)
except ValueError as e:
    print(e)
```