"""Create logic_validator
Generated by Phi-Octopus Eden
2025-12-14 09:18:43.541215
"""

# Type hinting imports
from typing import List, Dict, Any, Optional
import numpy as np

class logic_validator:
    """
    A capability that provides functions for validating logical statements.
    
    Methods:
        validate_implication(premise: str, conclusion: str) -> bool
            Checks if an implication (if P then Q) holds true.
        
        check_valid_argument(argument: List[str]) -> bool
            Verifies if a list of propositions forms a valid argument.
        
        find_counterexample(statements: List[str], conclusion: str) -> Optional[Dict]
            Finds a scenario where the conclusion is false despite premises being true.
    """

    def __init__(self):
        self.valid_connectives = {"and", "or", "not", "->"}
    
    def validate_implication(self, premise: str, conclusion: str) -> bool:
        """
        Checks if 'if premise then conclusion' is logically valid.
        
        Args:
            premise (str): The assumption/prediction
            conclusion (str): What the premise implies
            
        Returns:
            bool: True if implication holds, False otherwise
        """
        # Simplified truth-checking logic for demonstration
        premises = self._parse_statement(premise)
        conclusions = self._parse_statement(conclusion)
        
        for p in premises:
            if not (p == "not" or p == conclusions[0]):
                return False
        return True

    def check_valid_argument(self, argument: List[str]) -> bool:
        """
        Checks if a list of propositions forms a valid logical argument.
        
        Args:
            argument (List[str]): Propositions making up the argument
            
        Returns:
            bool: True if valid, False otherwise
        """
        # Check for invalid connectives and structure
        for statement in argument:
            if not any(connective in statement.lower() for connective in self.valid_connectives):
                return False
        return True

    def find_counterexample(self, statements: List[str], conclusion: str) -> Optional[Dict]:
        """
        Finds a scenario where premises are true but conclusion is false.
        
        Args:
            statements (List[str]): Premises/assumptions
            conclusion (str): What we expect to follow from premises
            
        Returns:
            Optional[Dict]: Counterexample conditions, None if none found
        """
        # Generate random counterexamples for demonstration
        examples = []
        for stmt in statements:
            vars_in_stmt = self._extract_variables(stmt)
            random_vals = {var: np.random.choice([True, False]) 
                           for var in vars_in_stmt}
            examples.append(random_vals)
        
        # Check each example against conclusion
        for ex in examples:
            premise_truth = all(ex[var] == (eval(stmt.replace(var, str(int(eval(expr))))) 
                                            for stmt, var in zip(statements, self._extract_variables(statements[0]))))
            
            if not eval(conclusion.replace(' '.join(ex.keys()), ' '.join(str(v) for v in ex.values()))):
                return {k: bool(v) for k, v in ex.items()}
        return None

    def _parse_statement(self, statement: str) -> List[str]:
        """Helper to extract components from a logical statement."""
        connectives = []
        tokens = []
        current_token = ''
        
        for char in statement:
            if char == ' ' and current_token:
                tokens.append(current_token)
                current_token = ''
            elif char in self.valid_connectives:
                connectives.append(char)
                if current_token:
                    tokens.append(current_token)
                    current_token = ''
            else:
                current_token += char
        
        if current_token:
            tokens.append(current_token)
            
        return list(set(connectives + tokens))

    def _extract_variables(self, statement: str) -> List[str]:
        """Helper to extract variable names from a logical statement."""
        variables = []
        for token in self._parse_statement(statement):
            if token.isalpha() and len(token) == 1:
                variables.append(token)
        return variables

def create_logic_validator():
    validator = logic_validator()
    return validator

if __name__ == '__main__':
    # Example usage
    validator = create_logic_validator()
    
    print("\nValidation:")
    print(validator.validate_implication("If it rains, the ground is wet", 
                                      "The ground is wet"))
    
    print("\nValid Argument Check:")
    argument = ["All mammals have four legs", "Kittens are mammals",
               "-> Kittens have four legs"]
    print(validator.check_valid_argument(argument))
    
    print("\nCounterexample Search:")
    statements = ['x > 0', 'x < 5']
    conclusion = '(x - 3) * (x + 1) < 0'
    counterexample = validator.find_counterexample(statements, conclusion)
    if counterexample:
        print(f"Found counterexample: {counterexample}")
    else:
        print("No clear counterexample found.")