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/****************************************************************************** |
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* Top contributors (to current version): |
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* Andrew Reynolds |
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* |
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* This file is part of the cvc5 project. |
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* |
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* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
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* in the top-level source directory and their institutional affiliations. |
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* All rights reserved. See the file COPYING in the top-level source |
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* directory for licensing information. |
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* **************************************************************************** |
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* |
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* Implementation of arrays proof checker. |
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*/ |
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#include "theory/arrays/proof_checker.h" |
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#include "expr/skolem_manager.h" |
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#include "theory/arrays/skolem_cache.h" |
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#include "theory/rewriter.h" |
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namespace cvc5 { |
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namespace theory { |
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namespace arrays { |
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void ArraysProofRuleChecker::registerTo(ProofChecker* pc) |
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{ |
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pc->registerChecker(PfRule::ARRAYS_READ_OVER_WRITE, this); |
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pc->registerChecker(PfRule::ARRAYS_READ_OVER_WRITE_CONTRA, this); |
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pc->registerChecker(PfRule::ARRAYS_READ_OVER_WRITE_1, this); |
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pc->registerChecker(PfRule::ARRAYS_EXT, this); |
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// trusted rules |
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pc->registerTrustedChecker(PfRule::ARRAYS_TRUST, this, 2); |
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} |
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Node ArraysProofRuleChecker::checkInternal(PfRule id, |
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const std::vector<Node>& children, |
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const std::vector<Node>& args) |
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{ |
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NodeManager* nm = NodeManager::currentNM(); |
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if (id == PfRule::ARRAYS_READ_OVER_WRITE) |
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{ |
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Assert(children.size() == 1); |
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Assert(args.size() == 1); |
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Node ideq = children[0]; |
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if (ideq.getKind() != kind::NOT || ideq[0].getKind() != kind::EQUAL) |
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{ |
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return Node::null(); |
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} |
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Node lhs = args[0]; |
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if (lhs.getKind() != kind::SELECT || lhs[0].getKind() != kind::STORE |
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|| lhs[0][1] != ideq[0][0]) |
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{ |
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return Node::null(); |
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} |
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Node rhs = nm->mkNode(kind::SELECT, lhs[0][0], ideq[0][1]); |
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return lhs.eqNode(rhs); |
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} |
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else if (id == PfRule::ARRAYS_READ_OVER_WRITE_CONTRA) |
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{ |
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Assert(children.size() == 1); |
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Assert(args.empty()); |
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Node adeq = children[0]; |
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if (adeq.getKind() != kind::NOT || adeq[0].getKind() != kind::EQUAL) |
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{ |
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return Node::null(); |
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} |
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Node lhs = adeq[0][0]; |
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Node rhs = adeq[0][1]; |
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if (lhs.getKind() != kind::SELECT || lhs[0].getKind() != kind::STORE |
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|| rhs.getKind() != kind::SELECT || lhs[1] != rhs[1]) |
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{ |
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return Node::null(); |
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} |
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return lhs[1].eqNode(lhs[0][1]); |
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} |
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if (id == PfRule::ARRAYS_READ_OVER_WRITE_1) |
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{ |
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Assert(children.empty()); |
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Assert(args.size() == 1); |
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Node lhs = args[0]; |
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if (lhs.getKind() != kind::SELECT || lhs[0].getKind() != kind::STORE |
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|| lhs[0][1] != lhs[1]) |
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{ |
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return Node::null(); |
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} |
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Node rhs = lhs[0][2]; |
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return lhs.eqNode(rhs); |
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} |
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if (id == PfRule::ARRAYS_EXT) |
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{ |
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Assert(children.size() == 1); |
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Assert(args.empty()); |
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Node adeq = children[0]; |
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if (adeq.getKind() != kind::NOT || adeq[0].getKind() != kind::EQUAL |
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|| !adeq[0][0].getType().isArray()) |
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{ |
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return Node::null(); |
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} |
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Node k = SkolemCache::getExtIndexSkolem(adeq); |
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Node a = adeq[0][0]; |
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Node b = adeq[0][1]; |
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Node as = nm->mkNode(kind::SELECT, a, k); |
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Node bs = nm->mkNode(kind::SELECT, b, k); |
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return as.eqNode(bs).notNode(); |
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} |
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if (id == PfRule::ARRAYS_TRUST) |
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{ |
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// "trusted" rules |
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Assert(!args.empty()); |
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Assert(args[0].getType().isBoolean()); |
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return args[0]; |
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} |
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// no rule |
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return Node::null(); |
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} |
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} // namespace arrays |
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} // namespace theory |
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} // namespace cvc5 |