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overhaul of proof format for new solver
This commit overhauls the proof format (in development) for the new core. NOTE: this functionality is work in progress with a long way to go. It is shielded by the sat.euf option, which is off by default and in pre-release state. It is too early to fuzz or use it. It is pushed into master to shed light on road-map for certifying inferences of sat.euf. It retires the ad-hoc extension of DRUP used by the SAT solver. Instead it relies on SMT with ad-hoc extensions for proof terms. It adds the following commands (consumed by proof_cmds.cpp): - assume - for input clauses - learn - when a clause is learned (or redundant clause is added) - del - when a clause is deleted. The commands take a list of expressions of type Bool and the last argument can optionally be of type Proof. When the last argument is of type Proof it is provided as a hint to justify the learned clause. Proof hints can be checked using a self-contained proof checker. The sat/smt/euf_proof_checker.h class provides a plugin dispatcher for checkers. It is instantiated with a checker for arithmetic lemmas, so far for Farkas proofs. Use example: ``` (set-option :sat.euf true) (set-option :tactic.default_tactic smt) (set-option :sat.smt.proof f.proof) (declare-const x Int) (declare-const y Int) (declare-const z Int) (declare-const u Int) (assert (< x y)) (assert (< y z)) (assert (< z x)) (check-sat) ``` Run z3 on a file with above content. Then run z3 on f.proof ``` (verified-smt) (verified-smt) (verified-smt) (verified-farkas) (verified-smt) ```
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37 changed files with 809 additions and 1078 deletions
48
src/sat/smt/euf_proof_checker.cpp
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src/sat/smt/euf_proof_checker.cpp
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/*++
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Copyright (c) 2020 Microsoft Corporation
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Module Name:
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euf_proof_checker.cpp
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Abstract:
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Plugin manager for checking EUF proofs
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Author:
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Nikolaj Bjorner (nbjorner) 2020-08-25
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--*/
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#include "ast/ast_pp.h"
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#include "sat/smt/euf_proof_checker.h"
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#include "sat/smt/arith_proof_checker.h"
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namespace euf {
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proof_checker::proof_checker(ast_manager& m):
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m(m) {
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arith::proof_checker* apc = alloc(arith::proof_checker, m);
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m_plugins.push_back(apc);
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apc->register_plugins(*this);
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}
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proof_checker::~proof_checker() {}
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void proof_checker::register_plugin(symbol const& rule, proof_checker_plugin* p) {
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m_map.insert(rule, p);
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}
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bool proof_checker::check(expr_ref_vector const& clause, expr* e) {
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if (!e || !is_app(e))
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return false;
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app* a = to_app(e);
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proof_checker_plugin* p = nullptr;
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if (m_map.find(a->get_decl()->get_name(), p))
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return p->check(clause, a);
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return false;
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}
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}
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