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/****************************************************************************** |
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* Top contributors (to current version): |
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* Mudathir Mohamed, Andrew Reynolds, Gereon Kremer |
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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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* Inference generator utility. |
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*/ |
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#include "inference_generator.h" |
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#include "expr/attribute.h" |
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#include "expr/bound_var_manager.h" |
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#include "expr/skolem_manager.h" |
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#include "theory/bags/inference_manager.h" |
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#include "theory/bags/solver_state.h" |
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#include "theory/uf/equality_engine.h" |
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#include "util/rational.h" |
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namespace cvc5 { |
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namespace theory { |
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namespace bags { |
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InferenceGenerator::InferenceGenerator(SolverState* state, InferenceManager* im) |
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: d_state(state), d_im(im) |
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{ |
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d_nm = NodeManager::currentNM(); |
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d_sm = d_nm->getSkolemManager(); |
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d_true = d_nm->mkConst(true); |
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d_zero = d_nm->mkConst(Rational(0)); |
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d_one = d_nm->mkConst(Rational(1)); |
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} |
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InferInfo InferenceGenerator::nonNegativeCount(Node n, Node e) |
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{ |
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Assert(n.getType().isBag()); |
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Assert(e.getType() == n.getType().getBagElementType()); |
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InferInfo inferInfo(d_im, InferenceId::BAG_NON_NEGATIVE_COUNT); |
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Node count = d_nm->mkNode(kind::BAG_COUNT, e, n); |
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Node gte = d_nm->mkNode(kind::GEQ, count, d_zero); |
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inferInfo.d_conclusion = gte; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::mkBag(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::MK_BAG); |
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Assert(e.getType() == n.getType().getBagElementType()); |
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if (n[0] == e) |
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{ |
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// TODO issue #78: refactor this with BagRewriter |
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// (=> true (= (bag.count e (bag e c)) c)) |
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InferInfo inferInfo(d_im, InferenceId::BAG_MK_BAG_SAME_ELEMENT); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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inferInfo.d_conclusion = count.eqNode(n[1]); |
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return inferInfo; |
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} |
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else |
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{ |
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// (=> |
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// true |
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// (= (bag.count e (bag x c)) (ite (= e x) c 0))) |
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InferInfo inferInfo(d_im, InferenceId::BAG_MK_BAG); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node same = d_nm->mkNode(kind::EQUAL, n[0], e); |
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Node ite = d_nm->mkNode(kind::ITE, same, n[1], d_zero); |
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Node equal = count.eqNode(ite); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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} |
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struct BagsDeqAttributeId |
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{ |
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}; |
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typedef expr::Attribute<BagsDeqAttributeId, Node> BagsDeqAttribute; |
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InferInfo InferenceGenerator::bagDisequality(Node n) |
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{ |
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Assert(n.getKind() == kind::EQUAL && n[0].getType().isBag()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_DISEQUALITY); |
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TypeNode elementType = A.getType().getBagElementType(); |
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BoundVarManager* bvm = d_nm->getBoundVarManager(); |
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Node element = bvm->mkBoundVar<BagsDeqAttribute>(n, elementType); |
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Node skolem = |
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d_sm->mkSkolem(element, |
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n, |
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"bag_disequal", |
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"an extensional lemma for disequality of two bags"); |
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Node countA = getMultiplicityTerm(skolem, A); |
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Node countB = getMultiplicityTerm(skolem, B); |
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Node disEqual = countA.eqNode(countB).notNode(); |
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inferInfo.d_premises.push_back(n.notNode()); |
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inferInfo.d_conclusion = disEqual; |
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return inferInfo; |
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} |
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Node InferenceGenerator::getSkolem(Node& n, InferInfo& inferInfo) |
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{ |
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Node skolem = d_sm->mkPurifySkolem(n, "skolem_bag", "skolem bag"); |
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inferInfo.d_skolems[n] = skolem; |
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return skolem; |
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} |
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InferInfo InferenceGenerator::empty(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::EMPTYBAG); |
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Assert(e.getType() == n.getType().getBagElementType()); |
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InferInfo inferInfo(d_im, InferenceId::BAG_EMPTY); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node equal = count.eqNode(d_zero); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::unionDisjoint(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::UNION_DISJOINT && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_UNION_DISJOINT); |
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Node countA = getMultiplicityTerm(e, A); |
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Node countB = getMultiplicityTerm(e, B); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node sum = d_nm->mkNode(kind::PLUS, countA, countB); |
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Node equal = count.eqNode(sum); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::unionMax(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::UNION_MAX && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_UNION_MAX); |
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Node countA = getMultiplicityTerm(e, A); |
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Node countB = getMultiplicityTerm(e, B); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node gt = d_nm->mkNode(kind::GT, countA, countB); |
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Node max = d_nm->mkNode(kind::ITE, gt, countA, countB); |
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Node equal = count.eqNode(max); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::intersection(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::INTERSECTION_MIN && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_INTERSECTION_MIN); |
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Node countA = getMultiplicityTerm(e, A); |
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Node countB = getMultiplicityTerm(e, B); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node lt = d_nm->mkNode(kind::LT, countA, countB); |
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Node min = d_nm->mkNode(kind::ITE, lt, countA, countB); |
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Node equal = count.eqNode(min); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::differenceSubtract(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::DIFFERENCE_SUBTRACT && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_DIFFERENCE_SUBTRACT); |
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Node countA = getMultiplicityTerm(e, A); |
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Node countB = getMultiplicityTerm(e, B); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node subtract = d_nm->mkNode(kind::MINUS, countA, countB); |
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Node gte = d_nm->mkNode(kind::GEQ, countA, countB); |
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Node difference = d_nm->mkNode(kind::ITE, gte, subtract, d_zero); |
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Node equal = count.eqNode(difference); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::differenceRemove(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::DIFFERENCE_REMOVE && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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Node B = n[1]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_DIFFERENCE_REMOVE); |
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Node countA = getMultiplicityTerm(e, A); |
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Node countB = getMultiplicityTerm(e, B); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node notInB = d_nm->mkNode(kind::EQUAL, countB, d_zero); |
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Node difference = d_nm->mkNode(kind::ITE, notInB, countA, d_zero); |
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Node equal = count.eqNode(difference); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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InferInfo InferenceGenerator::duplicateRemoval(Node n, Node e) |
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{ |
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Assert(n.getKind() == kind::DUPLICATE_REMOVAL && n[0].getType().isBag()); |
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Assert(e.getType() == n[0].getType().getBagElementType()); |
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Node A = n[0]; |
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InferInfo inferInfo(d_im, InferenceId::BAG_DUPLICATE_REMOVAL); |
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Node countA = getMultiplicityTerm(e, A); |
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Node skolem = getSkolem(n, inferInfo); |
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Node count = getMultiplicityTerm(e, skolem); |
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Node gte = d_nm->mkNode(kind::GEQ, countA, d_one); |
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Node ite = d_nm->mkNode(kind::ITE, gte, d_one, d_zero); |
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Node equal = count.eqNode(ite); |
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inferInfo.d_conclusion = equal; |
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return inferInfo; |
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} |
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Node InferenceGenerator::getMultiplicityTerm(Node element, Node bag) |
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{ |
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Node count = d_nm->mkNode(kind::BAG_COUNT, element, bag); |
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return count; |
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} |
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} // namespace bags |
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} // namespace theory |
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} // namespace cvc5 |