// Utility functions for logic systems
// Convert between different notation systems
export function convertNotation(formula: string, fromFormat: string, toFormat: string): string {
if (fromFormat === toFormat) return formula;
// Implement conversion logic between different notation systems
// For example, between natural language, symbolic notation, and formal notation
// Placeholder implementation
switch (`${fromFormat}-${toFormat}`) {
case 'natural-symbolic':
return naturalizationToSymbolic(formula);
case 'symbolic-natural':
return symbolicToNatural(formula);
default:
return formula;
}
}
// Natural language to symbolic conversion
function naturalizationToSymbolic(natural: string): string {
// Convert natural language expressions to symbolic logic
// Placeholder implementation with basic patterns
let symbolic = natural
.replace(/\ball\b/gi, '∀')
.replace(/\bthere exists\b/gi, '∃')
.replace(/\bnot\b/gi, '¬')
.replace(/\band\b/gi, '∧')
.replace(/\bor\b/gi, '∨')
.replace(/\bif\b.*\bthen\b/gi, '→')
.replace(/\bif and only if\b/gi, '↔');
return symbolic;
}
// Symbolic to natural language conversion
function symbolicToNatural(symbolic: string): string {
// Convert symbolic logic to natural language expressions
// Placeholder implementation with basic patterns
let natural = symbolic
.replace(/∀/g, 'for all')
.replace(/∃/g, 'there exists')
.replace(/¬/g, 'not')
.replace(/∧/g, 'and')
.replace(/∨/g, 'or')
.replace(/→/g, 'if... then')
.replace(/↔/g, 'if and only if');
return natural;
}
// Check for common logical fallacies
export function checkForFallacies(logicSystem: string, parsedInput: any): string[] {
// Check for common fallacies based on the logic system and input
// Return a list of detected fallacy names
// Placeholder implementation
return [];
}
// Validate argument structure
export function validateStructure(logicSystem: string, parsedInput: any): boolean {
// Validate the basic structure of the argument based on the logic system
// Return true if the structure is valid, false otherwise
// Placeholder implementation
return true;
}
// Generate truth table for propositional logic
export function generateTruthTable(formula: string): any {
// Generate a truth table for a propositional logic formula
// Extract variables, generate all possible combinations of truth values,
// and evaluate the formula for each combination
// Placeholder implementation
return {
headers: ['P', 'Q', 'P→Q'],
rows: [
[true, true, true],
[true, false, false],
[false, true, true],
[false, false, true]
]
};
}
// Evaluate predicate formula with a specific interpretation
export function evaluatePredicateFormula(formula: any, interpretation: any): boolean {
// Evaluate a predicate logic formula given a specific interpretation
// (domain and predicate assignments)
// Placeholder implementation
return true;
}
