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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 substitution.h
/// @brief Variable binding map: Var -> Term.
#include "atp/core/types.h"
#include <vector>
namespace atp {
/// A substitution is a mapping from variable TermIds to their bound TermIds.
/// Designed as a short-lived, stack-allocated object during unification.
class Substitution {
public:
Substitution() = default;
/// Bind a variable to a term. Returns false if already bound to something different.
bool bind(TermId var, TermId term);
/// Look up what a variable is bound to. Returns kInvalidId if unbound.
[[nodiscard]] TermId lookup(TermId var) const;
/// Walk the binding chain to the final bound value.
[[nodiscard]] TermId resolve(TermId id) const;
/// Clear all bindings.
void clear();
private:
// TODO: Phase 2 implementation
std::vector<std::pair<TermId, TermId>> bindings_;
};
} // namespace atp
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