import type { PropFormula } from "../../../models";
/**
 * Applies the disjunction introduction rule.
 *
 * Given two formulas A and B, it returns two disjunctions: (A ∨ B) and (B ∨ A)
 *
 * @param formulas An array of propositional formulas.
 * @returns {[PropFormula, PropFormula]} A tuple containing the two inferred formulas.
 * @throws {Error} if the formulas do not satisfy disjunction introduction conditions.
 */
export declare function disjunctionIntroduction(formulas: PropFormula[]): [PropFormula, PropFormula];