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/*
* richard-atp-engine: A saturation-based automated theorem prover for first-order logic.
* Copyright (C) 2026 Richard Qin
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
#pragma once
/// @file formula.h
/// @brief First-order logic formula AST (pre-clausification).
#include "atp/core/types.h"
#include <memory>
#include <string>
#include <vector>
namespace atp {
/// AST node types for first-order logic formulas.
enum class FormulaKind : uint8_t {
kAtom, ///< Predicate application: P(t1, ..., tn)
kNot, ///< Negation: ¬F
kAnd, ///< Conjunction: F ∧ G
kOr, ///< Disjunction: F ∨ G
kImplies, ///< Implication: F → G
kIff, ///< Biconditional: F ↔ G
kForall, ///< Universal: ∀x. F
kExists, ///< Existential: ∃x. F
};
/// A first-order logic formula node.
struct Formula {
FormulaKind kind;
// For kAtom: the predicate term
TermId atom = kInvalidId;
// For quantifiers: the bound variable name
std::string var_name;
// Sub-formulas (1 for Not/Quantifiers, 2 for binary connectives)
std::vector<std::unique_ptr<Formula>> children;
static std::unique_ptr<Formula> makeAtom(TermId atom);
static std::unique_ptr<Formula> makeNot(std::unique_ptr<Formula> child);
static std::unique_ptr<Formula> makeAnd(std::unique_ptr<Formula> lhs,
std::unique_ptr<Formula> rhs);
static std::unique_ptr<Formula> makeOr(std::unique_ptr<Formula> lhs,
std::unique_ptr<Formula> rhs);
static std::unique_ptr<Formula> makeImplies(std::unique_ptr<Formula> lhs,
std::unique_ptr<Formula> rhs);
static std::unique_ptr<Formula> makeIff(std::unique_ptr<Formula> lhs,
std::unique_ptr<Formula> rhs);
static std::unique_ptr<Formula> makeForall(std::string var,
std::unique_ptr<Formula> body);
static std::unique_ptr<Formula> makeExists(std::string var,
std::unique_ptr<Formula> body);
};
} // namespace atp
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