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-/********************* */
-/*! \file sets-new.cpp
- ** \verbatim
- ** Top contributors (to current version):
- ** Aina Niemetz, Makai Mann
- ** This file is part of the CVC4 project.
- ** Copyright (c) 2009-2019 by the authors listed in the file AUTHORS
- ** in the top-level source directory) and their institutional affiliations.
- ** All rights reserved. See the file COPYING in the top-level source
- ** directory for licensing information.\endverbatim
- **
- ** \brief Reasoning about sets with CVC4.
- **
- ** A simple demonstration of reasoning about sets with CVC4.
- **/
-
-#include <iostream>
-
-#include <cvc4/api/cvc4cpp.h>
-
-using namespace std;
-using namespace CVC4::api;
-
-int main()
-{
- Solver slv;
-
- // Optionally, set the logic. We need at least UF for equality predicate,
- // integers (LIA) and sets (FS).
- slv.setLogic("QF_UFLIAFS");
-
- // Produce models
- slv.setOption("produce-models", "true");
- slv.setOption("output-language", "smt2");
-
- Sort integer = slv.getIntegerSort();
- Sort set = slv.mkSetSort(integer);
-
- // Verify union distributions over intersection
- // (A union B) intersection C = (A intersection C) union (B intersection C)
- {
- Term A = slv.mkConst(set, "A");
- Term B = slv.mkConst(set, "B");
- Term C = slv.mkConst(set, "C");
-
- Term unionAB = slv.mkTerm(UNION, A, B);
- Term lhs = slv.mkTerm(INTERSECTION, unionAB, C);
-
- Term intersectionAC = slv.mkTerm(INTERSECTION, A, C);
- Term intersectionBC = slv.mkTerm(INTERSECTION, B, C);
- Term rhs = slv.mkTerm(UNION, intersectionAC, intersectionBC);
-
- Term theorem = slv.mkTerm(EQUAL, lhs, rhs);
-
- cout << "CVC4 reports: " << theorem << " is " << slv.checkEntailed(theorem)
- << "." << endl;
- }
-
- // Verify emptset is a subset of any set
- {
- Term A = slv.mkConst(set, "A");
- Term emptyset = slv.mkEmptySet(set);
-
- Term theorem = slv.mkTerm(SUBSET, emptyset, A);
-
- cout << "CVC4 reports: " << theorem << " is " << slv.checkEntailed(theorem)
- << "." << endl;
- }
-
- // Find me an element in {1, 2} intersection {2, 3}, if there is one.
- {
- Term one = slv.mkReal(1);
- Term two = slv.mkReal(2);
- Term three = slv.mkReal(3);
-
- Term singleton_one = slv.mkTerm(SINGLETON, one);
- Term singleton_two = slv.mkTerm(SINGLETON, two);
- Term singleton_three = slv.mkTerm(SINGLETON, three);
- Term one_two = slv.mkTerm(UNION, singleton_one, singleton_two);
- Term two_three = slv.mkTerm(UNION, singleton_two, singleton_three);
- Term intersection = slv.mkTerm(INTERSECTION, one_two, two_three);
-
- Term x = slv.mkConst(integer, "x");
-
- Term e = slv.mkTerm(MEMBER, x, intersection);
-
- Result result = slv.checkSatAssuming(e);
- cout << "CVC4 reports: " << e << " is " << result << "." << endl;
-
- if (result.isSat())
- {
- cout << "For instance, " << slv.getValue(x) << " is a member." << endl;
- }
- }
-}
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