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/****************************************************************************** |
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* Top contributors (to current version): |
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* Andrew Reynolds, Aina Niemetz |
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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 skolem manager class. |
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*/ |
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#include "expr/skolem_manager.h" |
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#include <sstream> |
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#include "expr/attribute.h" |
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#include "expr/bound_var_manager.h" |
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#include "expr/node_algorithm.h" |
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using namespace cvc5::kind; |
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namespace cvc5 { |
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// Attributes are global maps from Nodes to data. Thus, note that these could |
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// be implemented as internal maps in SkolemManager. |
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struct WitnessFormAttributeId |
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{ |
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}; |
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typedef expr::Attribute<WitnessFormAttributeId, Node> WitnessFormAttribute; |
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struct SkolemFormAttributeId |
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{ |
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}; |
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typedef expr::Attribute<SkolemFormAttributeId, Node> SkolemFormAttribute; |
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struct OriginalFormAttributeId |
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{ |
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}; |
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typedef expr::Attribute<OriginalFormAttributeId, Node> OriginalFormAttribute; |
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2465 |
const char* toString(SkolemFunId id) |
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{ |
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switch (id) |
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{ |
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case SkolemFunId::DIV_BY_ZERO: return "DIV_BY_ZERO"; |
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case SkolemFunId::INT_DIV_BY_ZERO: return "INT_DIV_BY_ZERO"; |
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case SkolemFunId::MOD_BY_ZERO: return "MOD_BY_ZERO"; |
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case SkolemFunId::SQRT: return "SQRT"; |
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case SkolemFunId::SELECTOR_WRONG: return "SELECTOR_WRONG"; |
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case SkolemFunId::SHARED_SELECTOR: return "SHARED_SELECTOR"; |
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case SkolemFunId::SEQ_NTH_OOB: return "SEQ_NTH_OOB"; |
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case SkolemFunId::RE_UNFOLD_POS_COMPONENT: return "RE_UNFOLD_POS_COMPONENT"; |
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case SkolemFunId::HO_TYPE_MATCH_PRED: return "HO_TYPE_MATCH_PRED"; |
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default: return "?"; |
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} |
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} |
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std::ostream& operator<<(std::ostream& out, SkolemFunId id) |
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{ |
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out << toString(id); |
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return out; |
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} |
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Node SkolemManager::mkSkolem(Node v, |
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Node pred, |
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const std::string& prefix, |
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const std::string& comment, |
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int flags, |
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ProofGenerator* pg) |
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{ |
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// We do not currently insist that pred does not contain witness terms |
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Assert(v.getKind() == BOUND_VARIABLE); |
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// make the witness term |
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NodeManager* nm = NodeManager::currentNM(); |
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Node bvl = nm->mkNode(BOUND_VAR_LIST, v); |
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// Make the witness term, where notice that pred may contain skolems. We do |
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// not recursively convert pred to witness form, since witness terms should |
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// be treated as opaque. Moreover, the use of witness forms leads to |
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// variable shadowing issues in e.g. skolemization. |
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Node w = nm->mkNode(WITNESS, bvl, pred); |
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// store the mapping to proof generator if it exists |
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if (pg != nullptr) |
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{ |
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// We cache based on the existential of the original predicate |
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Node q = nm->mkNode(EXISTS, bvl, pred); |
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// Notice this may overwrite an existing proof generator. This does not |
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// matter since either should be able to prove q. |
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d_gens[q] = pg; |
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} |
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Node k = mkSkolemInternal(w, prefix, comment, flags); |
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// set witness form attribute for k |
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WitnessFormAttribute wfa; |
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k.setAttribute(wfa, w); |
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Trace("sk-manager-skolem") |
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<< "skolem: " << k << " witness " << w << std::endl; |
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return k; |
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} |
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Node SkolemManager::mkSkolemize(Node q, |
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std::vector<Node>& skolems, |
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const std::string& prefix, |
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const std::string& comment, |
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int flags, |
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ProofGenerator* pg) |
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{ |
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Trace("sk-manager-debug") << "mkSkolemize " << q << std::endl; |
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Assert(q.getKind() == EXISTS); |
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Node currQ = q; |
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for (const Node& av : q[0]) |
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{ |
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Assert(currQ.getKind() == EXISTS && av == currQ[0][0]); |
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// currQ is updated to the result of skolemizing its first variable in |
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// the method below. |
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Node sk = skolemize(currQ, currQ, prefix, comment, flags); |
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Trace("sk-manager-debug") |
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<< "made skolem " << sk << " for " << av << std::endl; |
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skolems.push_back(sk); |
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} |
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if (pg != nullptr) |
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{ |
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// Same as above, this may overwrite an existing proof generator |
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d_gens[q] = pg; |
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} |
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Trace("sk-manager-debug") << "...mkSkolemize returns " << currQ << std::endl; |
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return currQ; |
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} |
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Node SkolemManager::skolemize(Node q, |
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Node& qskolem, |
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const std::string& prefix, |
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const std::string& comment, |
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int flags) |
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{ |
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Assert(q.getKind() == EXISTS); |
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Node v; |
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std::vector<Node> ovars; |
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Trace("sk-manager-debug") << "mkSkolemize..." << std::endl; |
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NodeManager* nm = NodeManager::currentNM(); |
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for (const Node& av : q[0]) |
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{ |
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if (v.isNull()) |
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{ |
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v = av; |
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continue; |
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} |
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ovars.push_back(av); |
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} |
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Assert(!v.isNull()); |
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// make the predicate with one variable stripped off |
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Node pred = q[1]; |
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Trace("sk-manager-debug") << "make exists predicate" << std::endl; |
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if (!ovars.empty()) |
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{ |
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// keeps the same variables |
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Node bvl = nm->mkNode(BOUND_VAR_LIST, ovars); |
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// update the predicate |
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pred = nm->mkNode(EXISTS, bvl, pred); |
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} |
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Trace("sk-manager-debug") << "call sub mkSkolem" << std::endl; |
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// don't use a proof generator, since this may be an intermediate, partially |
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// skolemized formula. |
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Node k = mkSkolem(v, pred, prefix, comment, flags, nullptr); |
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Assert(k.getType() == v.getType()); |
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TNode tv = v; |
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TNode tk = k; |
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Trace("sk-manager-debug") |
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<< "qskolem apply " << tv << " -> " << tk << " to " << pred << std::endl; |
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// the quantified formula with one step of skolemization |
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qskolem = pred.substitute(tv, tk); |
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Trace("sk-manager-debug") << "qskolem done substitution" << std::endl; |
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return k; |
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} |
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Node SkolemManager::mkPurifySkolem(Node t, |
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const std::string& prefix, |
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const std::string& comment, |
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int flags) |
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{ |
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Node to = getOriginalForm(t); |
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// We do not currently insist that to does not contain witness terms |
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Node k = mkSkolemInternal(to, prefix, comment, flags); |
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// set original form attribute for k |
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OriginalFormAttribute ofa; |
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k.setAttribute(ofa, to); |
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Trace("sk-manager-skolem") |
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<< "skolem: " << k << " purify " << to << std::endl; |
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return k; |
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} |
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Node SkolemManager::mkSkolemFunction(SkolemFunId id, |
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TypeNode tn, |
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Node cacheVal, |
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int flags) |
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{ |
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std::tuple<SkolemFunId, TypeNode, Node> key(id, tn, cacheVal); |
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std::map<std::tuple<SkolemFunId, TypeNode, Node>, Node>::iterator it = |
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d_skolemFuns.find(key); |
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if (it == d_skolemFuns.end()) |
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{ |
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NodeManager* nm = NodeManager::currentNM(); |
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std::stringstream ss; |
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ss << "SKOLEM_FUN_" << id; |
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Node k = nm->mkSkolem(ss.str(), tn, "an internal skolem function", flags); |
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d_skolemFuns[key] = k; |
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d_skolemFunMap[k] = key; |
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return k; |
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} |
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return it->second; |
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} |
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Node SkolemManager::mkSkolemFunction(SkolemFunId id, |
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TypeNode tn, |
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const std::vector<Node>& cacheVals, |
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int flags) |
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{ |
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Assert(cacheVals.size() > 1); |
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Node cacheVal = NodeManager::currentNM()->mkNode(SEXPR, cacheVals); |
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return mkSkolemFunction(id, tn, cacheVal, flags); |
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} |
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bool SkolemManager::isSkolemFunction(Node k, |
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SkolemFunId& id, |
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Node& cacheVal) const |
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{ |
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std::map<Node, std::tuple<SkolemFunId, TypeNode, Node>>::const_iterator it = |
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d_skolemFunMap.find(k); |
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if (it == d_skolemFunMap.end()) |
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{ |
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return false; |
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} |
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id = std::get<0>(it->second); |
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cacheVal = std::get<2>(it->second); |
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return true; |
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} |
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Node SkolemManager::mkDummySkolem(const std::string& prefix, |
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const TypeNode& type, |
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const std::string& comment, |
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int flags) |
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{ |
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return NodeManager::currentNM()->mkSkolem(prefix, type, comment, flags); |
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} |
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ProofGenerator* SkolemManager::getProofGenerator(Node t) const |
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{ |
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std::map<Node, ProofGenerator*>::const_iterator it = d_gens.find(t); |
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if (it != d_gens.end()) |
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{ |
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return it->second; |
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} |
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return nullptr; |
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} |
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Node SkolemManager::getWitnessForm(Node k) |
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{ |
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Assert(k.getKind() == SKOLEM); |
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// simply look up the witness form for k via an attribute |
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WitnessFormAttribute wfa; |
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return k.getAttribute(wfa); |
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} |
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Node SkolemManager::getOriginalForm(Node n) |
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{ |
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if (n.isNull()) |
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{ |
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return n; |
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} |
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Trace("sk-manager-debug") |
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<< "SkolemManager::getOriginalForm " << n << std::endl; |
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OriginalFormAttribute ofa; |
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NodeManager* nm = NodeManager::currentNM(); |
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std::unordered_map<TNode, Node> visited; |
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std::unordered_map<TNode, Node>::iterator it; |
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std::vector<TNode> visit; |
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TNode cur; |
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visit.push_back(n); |
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do |
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{ |
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cur = visit.back(); |
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visit.pop_back(); |
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it = visited.find(cur); |
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if (it == visited.end()) |
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{ |
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if (cur.hasAttribute(ofa)) |
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{ |
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visited[cur] = cur.getAttribute(ofa); |
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} |
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else |
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{ |
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visited[cur] = Node::null(); |
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visit.push_back(cur); |
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if (cur.getMetaKind() == metakind::PARAMETERIZED) |
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{ |
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visit.push_back(cur.getOperator()); |
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} |
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for (const Node& cn : cur) |
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{ |
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visit.push_back(cn); |
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} |
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} |
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} |
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else if (it->second.isNull()) |
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{ |
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Node ret = cur; |
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bool childChanged = false; |
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std::vector<Node> children; |
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if (cur.getMetaKind() == metakind::PARAMETERIZED) |
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{ |
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it = visited.find(cur.getOperator()); |
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Assert(it != visited.end()); |
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Assert(!it->second.isNull()); |
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childChanged = childChanged || cur.getOperator() != it->second; |
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children.push_back(it->second); |
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} |
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for (const Node& cn : cur) |
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{ |
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it = visited.find(cn); |
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Assert(it != visited.end()); |
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Assert(!it->second.isNull()); |
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childChanged = childChanged || cn != it->second; |
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children.push_back(it->second); |
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} |
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if (childChanged) |
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{ |
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ret = nm->mkNode(cur.getKind(), children); |
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} |
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cur.setAttribute(ofa, ret); |
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visited[cur] = ret; |
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} |
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} while (!visit.empty()); |
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Assert(visited.find(n) != visited.end()); |
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Assert(!visited.find(n)->second.isNull()); |
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Trace("sk-manager-debug") << "..return " << visited[n] << std::endl; |
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return visited[n]; |
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} |
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Node SkolemManager::mkSkolemInternal(Node w, |
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const std::string& prefix, |
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const std::string& comment, |
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int flags) |
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{ |
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// note that witness, original forms are independent, but share skolems |
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55305 |
NodeManager* nm = NodeManager::currentNM(); |
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// w is not necessarily a witness term |
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SkolemFormAttribute sfa; |
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110610 |
Node k; |
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// could already have a skolem if we used w already |
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55305 |
if (w.hasAttribute(sfa)) |
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{ |
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return w.getAttribute(sfa); |
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} |
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// make the new skolem |
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45327 |
if (flags & NodeManager::SKOLEM_BOOL_TERM_VAR) |
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{ |
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839 |
Assert (w.getType().isBoolean()); |
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839 |
k = nm->mkBooleanTermVariable(); |
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} |
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else |
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{ |
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44488 |
k = nm->mkSkolem(prefix, w.getType(), comment, flags); |
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} |
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// set skolem form attribute for w |
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45327 |
w.setAttribute(sfa, k); |
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90654 |
Trace("sk-manager") << "SkolemManager::mkSkolem: " << k << " : " << w |
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45327 |
<< std::endl; |
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45327 |
return k; |
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} |
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29502 |
} // namespace cvc5 |