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+/******************************************************************************
+ * Top contributors (to current version):
+ * Abdalrhman Mohamed, Mudathir Mohamed, Aina Niemetz
+ *
+ * This file is part of the cvc5 project.
+ *
+ * Copyright (c) 2009-2021 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.
+ * ****************************************************************************
+ *
+ * A simple demonstration of the Sygus API.
+ *
+ * A simple demonstration of how to use the Sygus API to synthesize max and min
+ * functions. Here is the same problem written in Sygus V2 format:
+ *
+ * (set-logic LIA)
+ *
+ * (synth-fun max ((x Int) (y Int)) Int
+ * ((Start Int) (StartBool Bool))
+ * ((Start Int (0 1 x y
+ * (+ Start Start)
+ * (- Start Start)
+ * (ite StartBool Start Start)))
+ * (StartBool Bool ((and StartBool StartBool)
+ * (not StartBool)
+ * (<= Start Start)))))
+ *
+ * (synth-fun min ((x Int) (y Int)) Int)
+ *
+ * (declare-var x Int)
+ * (declare-var y Int)
+ *
+ * (constraint (>= (max x y) x))
+ * (constraint (>= (max x y) y))
+ * (constraint (or (= x (max x y))
+ * (= y (max x y))))
+ * (constraint (= (+ (max x y) (min x y))
+ * (+ x y)))
+ *
+ * (check-synth)
+ *
+ * The printed output for this example should be equivalent to:
+ * (
+ * (define-fun max ((x Int) (y Int)) Int (ite (<= x y) y x))
+ * (define-fun min ((x Int) (y Int)) Int (ite (<= x y) x y))
+ * )
+ */
+
+#include <cvc5/cvc5.h>
+
+#include <iostream>
+
+#include "utils.h"
+
+using namespace cvc5::api;
+
+int main()
+{
+ Solver slv;
+
+ // required options
+ slv.setOption("lang", "sygus2");
+ slv.setOption("incremental", "false");
+
+ // set the logic
+ slv.setLogic("LIA");
+
+ Sort integer = slv.getIntegerSort();
+ Sort boolean = slv.getBooleanSort();
+
+ // declare input variables for the functions-to-synthesize
+ Term x = slv.mkVar(integer, "x");
+ Term y = slv.mkVar(integer, "y");
+
+ // declare the grammar non-terminals
+ Term start = slv.mkVar(integer, "Start");
+ Term start_bool = slv.mkVar(boolean, "StartBool");
+
+ // define the rules
+ Term zero = slv.mkInteger(0);
+ Term one = slv.mkInteger(1);
+
+ Term plus = slv.mkTerm(PLUS, start, start);
+ Term minus = slv.mkTerm(MINUS, start, start);
+ Term ite = slv.mkTerm(ITE, start_bool, start, start);
+
+ Term And = slv.mkTerm(AND, start_bool, start_bool);
+ Term Not = slv.mkTerm(NOT, start_bool);
+ Term leq = slv.mkTerm(LEQ, start, start);
+
+ // create the grammar object
+ Grammar g = slv.mkSygusGrammar({x, y}, {start, start_bool});
+
+ // bind each non-terminal to its rules
+ g.addRules(start, {zero, one, x, y, plus, minus, ite});
+ g.addRules(start_bool, {And, Not, leq});
+
+ // declare the functions-to-synthesize. Optionally, provide the grammar
+ // constraints
+ Term max = slv.synthFun("max", {x, y}, integer, g);
+ Term min = slv.synthFun("min", {x, y}, integer);
+
+ // declare universal variables.
+ Term varX = slv.mkSygusVar(integer, "x");
+ Term varY = slv.mkSygusVar(integer, "y");
+
+ Term max_x_y = slv.mkTerm(APPLY_UF, max, varX, varY);
+ Term min_x_y = slv.mkTerm(APPLY_UF, min, varX, varY);
+
+ // add semantic constraints
+ // (constraint (>= (max x y) x))
+ slv.addSygusConstraint(slv.mkTerm(GEQ, max_x_y, varX));
+
+ // (constraint (>= (max x y) y))
+ slv.addSygusConstraint(slv.mkTerm(GEQ, max_x_y, varY));
+
+ // (constraint (or (= x (max x y))
+ // (= y (max x y))))
+ slv.addSygusConstraint(slv.mkTerm(
+ OR, slv.mkTerm(EQUAL, max_x_y, varX), slv.mkTerm(EQUAL, max_x_y, varY)));
+
+ // (constraint (= (+ (max x y) (min x y))
+ // (+ x y)))
+ slv.addSygusConstraint(slv.mkTerm(
+ EQUAL, slv.mkTerm(PLUS, max_x_y, min_x_y), slv.mkTerm(PLUS, varX, varY)));
+
+ // print solutions if available
+ if (slv.checkSynth().isUnsat())
+ {
+ // Output should be equivalent to:
+ // (
+ // (define-fun max ((x Int) (y Int)) Int (ite (<= x y) y x))
+ // (define-fun min ((x Int) (y Int)) Int (ite (<= x y) x y))
+ // )
+ std::vector<Term> terms = {max, min};
+ printSynthSolutions(terms, slv.getSynthSolutions(terms));
+ }
+
+ return 0;
+}
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