Java Code Examples for kodkod.ast.Formula#forSome()
The following examples show how to use
kodkod.ast.Formula#forSome() .
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Example 1
| Source File: ReductionAndProofTest.java From org.alloytools.alloy with Apache License 2.0 | 5 votes |
|
public final void testProof() {
Variable v0 = Variable.unary("v0"), v1 = Variable.unary("v1"), v2 = Variable.unary("v2");
Formula f0 = v0.join(a2b).eq(v1.union(v2)).and(v1.eq(v2).not());
Formula f1 = f0.forSome(v0.oneOf(a).and(v1.oneOf(b)).and(v2.oneOf(b)));
Formula f2 = a2b.function(a, b);
Formula f3 = f1.and(f2).and(total.totalOrder(ordered, first, last));
Solution sol = null;
solver.options().setLogTranslation(0);
solver.options().setSolver(SATFactory.MiniSat);
sol = solver.solve(f3, bounds);
assertEquals(Solution.Outcome.UNSATISFIABLE, sol.outcome());
assertNull(sol.proof());
solver.options().setLogTranslation(1);
sol = solver.solve(f3, bounds);
assertNull(sol.proof());
solver.options().setSolver(SATFactory.MiniSatProver);
sol = solver.solve(f3, bounds);
// System.out.println(f3 + ", " + bounds);
sol.proof().minimize(new ECFPStrategy());
final Set<Formula> top = Nodes.minRoots(f3, sol.proof().highLevelCore().values());
assertEquals(2, top.size());
assertTrue(top.contains(f1));
assertTrue(top.contains(f2));
// for(Iterator<TranslationLog.Record> itr = sol.proof().core();
// itr.hasNext(); ) {
// System.out.println(itr.next());
// }
}
Example 2
| Source File: ReductionAndProofTest.java From kodkod with MIT License | 5 votes |
|
@Test
public final void testProof() {
Variable v0 = Variable.unary("v0"), v1 = Variable.unary("v1"),
v2 = Variable.unary("v2");
Formula f0 = v0.join(a2b).eq(v1.union(v2)).and(v1.eq(v2).not());
Formula f1 = f0.forSome(v0.oneOf(a).and(v1.oneOf(b)).and(v2.oneOf(b)));
Formula f2 = a2b.function(a, b);
Formula f3 = f1.and(f2).and(total.totalOrder(ordered, first, last));
Solution sol = null;
solver.options().setLogTranslation(0);
solver.options().setSolver(SATFactory.MiniSat);
sol = solver.solve(f3, bounds);
assertEquals(Solution.Outcome.UNSATISFIABLE, sol.outcome());
assertNull(sol.proof());
solver.options().setLogTranslation(1);
sol = solver.solve(f3, bounds);
assertNull(sol.proof());
solver.options().setSolver(SATFactory.MiniSatProver);
sol = solver.solve(f3, bounds);
//System.out.println(f3 + ", " + bounds);
sol.proof().minimize(new ECFPStrategy());
final Set<Formula> top = Nodes.minRoots(f3, sol.proof().highLevelCore().values());
assertEquals(2, top.size());
assertTrue(top.contains(f1));
assertTrue(top.contains(f2));
// for(Iterator<TranslationLog.Record> itr = sol.proof().core(); itr.hasNext(); ) {
// System.out.println(itr.next());
// }
}
Example 3
| Source File: BugTests.java From org.alloytools.alloy with Apache License 2.0 | 4 votes |
|
public final void testBGP_03172011() {
Relation x5 = Relation.unary("s012");
Relation x8 = Relation.unary("zero");
Relation x9 = Relation.unary("one");
Relation x12 = Relation.nary("next", 2);
Universe universe = new Universe(Arrays.asList("0", "1", "2", "3"));
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
bounds.boundExactly(x5, factory.setOf("0", "1", "2"));
bounds.boundExactly(x8, factory.setOf("0"));
bounds.bound(x9, factory.setOf("1"), factory.setOf("1", "2"));
TupleSet x12_upper = factory.noneOf(2);
x12_upper.add(factory.tuple("1", "2"));
x12_upper.add(factory.tuple("2", "3"));
bounds.boundExactly(x12, x12_upper);
Variable x714 = Variable.unary("x714");
Decls x713 = x714.oneOf(x8.union(x9));
Variable x720 = Variable.unary("x720");
Expression x723 = x8.union(x9);
Expression x724 = x9.join(x12);
Expression x722 = x723.union(x724);
Expression x721 = x722.difference(x714);
Decls x719 = x720.oneOf(x721);
Variable x727 = Variable.unary("x727");
Expression x732 = x714.union(x720);
Expression x728 = x5.difference(x732);
Decls x726 = x727.oneOf(x728);
Variable x735 = Variable.unary("x735");
Decls x734 = x735.oneOf(x8);
Variable x893 = Variable.unary("x893");
Decls x892 = x893.oneOf(x727);
Formula x894 = x720.no();
Formula x891 = x894.forAll(x892);
Formula x712 = x891.forSome(x713.and(x719).and(x726).and(x734));
Formula x267 = Formula.FALSE.or(x712);
Solver solver = new Solver();
solver.options().setSolver(SATFactory.MiniSat);
solver.options().setBitwidth(4);
// solver.options().setFlatten(false);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
solver.options().setSkolemDepth(0);
final Solution sol = solver.solve(x267, bounds);
assertEquals(sol.outcome(), Solution.Outcome.TRIVIALLY_UNSATISFIABLE);
}
Example 4
| Source File: BugTests.java From org.alloytools.alloy with Apache License 2.0 | 4 votes |
|
public final void testFelix_06192008() {
Relation x5 = Relation.unary("R");
List<String> atomlist = Arrays.asList("X");
Universe universe = new Universe(atomlist);
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
TupleSet x5_upper = factory.noneOf(1);
x5_upper.add(factory.tuple("X"));
bounds.bound(x5, x5_upper);
Variable x10 = Variable.unary("a");
Expression x11 = x5.difference(x5);
Decls x9 = x10.oneOf(x11);
Variable x14 = Variable.nary("b", 2);
Expression x15 = x5.product(x5);
Decls x13 = x14.setOf(x15);
Expression x19 = x5.product(x5);
Formula x17 = x14.in(x19);
Expression x22 = x10.product(x10);
Formula x21 = x22.eq(x14);
Formula x16 = x17.and(x21);
Formula x12 = x16.forSome(x13);
Formula x7 = x12.forAll(x9);
// System.out.println(x7);
Solver solver = new Solver();
solver.options().setSolver(SATFactory.DefaultSAT4J);
solver.options().setBitwidth(4);
// solver.options().setFlatten(false);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
// System.out.println("Depth=0..."); System.out.flush();
solver.options().setSkolemDepth(0);
assertEquals(Solution.Outcome.TRIVIALLY_SATISFIABLE, solver.solve(x7, bounds).outcome());
// System.out.println("Depth=1..."); System.out.flush();
solver.options().setSkolemDepth(1);
final Solution sol = solver.solve(x7, bounds);
assertEquals(Solution.Outcome.SATISFIABLE, sol.outcome());
assertEquals(2, sol.instance().relations().size());
for (Relation r : sol.instance().relations()) {
assertTrue(sol.instance().tuples(r).isEmpty());
}
}
Example 5
| Source File: BugTests.java From org.alloytools.alloy with Apache License 2.0 | 4 votes |
|
public final void testFelix_03062008_2() {
Relation x5 = Relation.unary("Role");
Relation x6 = Relation.unary("Session");
List<String> atomlist = Arrays.asList("Role$0", "Session$0", "Session$1");
Universe universe = new Universe(atomlist);
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
TupleSet x5_upper = factory.noneOf(1);
x5_upper.add(factory.tuple("Role$0"));
bounds.bound(x5, x5_upper);
TupleSet x6_upper = factory.noneOf(1);
x6_upper.add(factory.tuple("Session$0"));
x6_upper.add(factory.tuple("Session$1"));
bounds.bound(x6, x6_upper);
Variable x11 = Variable.unary("x_a");
Decls x10 = x11.oneOf(x6);
Variable x15 = Variable.unary("x_b");
Decls x14 = x15.oneOf(x5);
Variable x17 = Variable.unary("x_c");
Decls x16 = x17.oneOf(x5);
Decls x13 = x14.and(x16);
Expression x20 = x15.product(x17);
Expression x19 = x11.product(x20);
Formula x18 = x19.some();
Formula x12 = x18.forSome(x13);
Formula x9 = x12.forAll(x10);
Formula x24 = x5.some();
Formula x23 = x24.not();
Formula x28 = x5.eq(x5);
Formula x29 = x6.eq(x6);
Formula x25 = x28.and(x29);
Formula x22 = x23.and(x25);
Formula x8 = x9.and(x22).and(x5.no()).and(x6.no());
Solver solver = new Solver();
solver.options().setSolver(SATFactory.DefaultSAT4J);
solver.options().setBitwidth(2);
// solver.options().setFlatten(false);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
solver.options().setSkolemDepth(2);
System.out.flush();
Solution sol = solver.solve(x8, bounds);
Instance inst = sol.instance();
assertNotNull(inst);
for (Relation rel : inst.relations()) {
if (rel != x5 && rel != x6) {
final TupleSet range = inst.tuples(x6).product(inst.tuples(x5));
assertTrue(range.containsAll(inst.tuples(rel)));
}
}
}
Example 6
| Source File: RegressionTests.java From kodkod with MIT License | 4 votes |
|
@Test
public final void testBGP_03172011() {
Relation x5 = Relation.unary("s012");
Relation x8 = Relation.unary("zero");
Relation x9 = Relation.unary("one");
Relation x12 = Relation.nary("next", 2);
Universe universe = new Universe(Arrays.asList( "0", "1", "2", "3"));
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
bounds.boundExactly(x5, factory.setOf("0","1","2"));
bounds.boundExactly(x8, factory.setOf("0"));
bounds.bound(x9, factory.setOf("1"), factory.setOf("1","2"));
TupleSet x12_upper = factory.noneOf(2);
x12_upper.add(factory.tuple("1","2"));
x12_upper.add(factory.tuple("2","3"));
bounds.boundExactly(x12, x12_upper);
Variable x714 = Variable.unary("x714");
Decls x713 = x714.oneOf(x8.union(x9));
Variable x720 = Variable.unary("x720");
Expression x723 = x8.union(x9);
Expression x724 = x9.join(x12);
Expression x722 = x723.union(x724);
Expression x721 = x722.difference(x714);
Decls x719 = x720.oneOf(x721);
Variable x727 = Variable.unary("x727");
Expression x732 = x714.union(x720);
Expression x728 = x5.difference(x732);
Decls x726 = x727.oneOf(x728);
Variable x735 = Variable.unary("x735");
Decls x734 = x735.oneOf(x8);
Variable x893 = Variable.unary("x893");
Decls x892 = x893.oneOf(x727);
Formula x894 = x720.no();
Formula x891 = x894.forAll(x892);
Formula x712 = x891.forSome(x713.and(x719).and(x726).and(x734));
Formula x267 = Formula.FALSE.or(x712);
Solver solver = new Solver();
solver.options().setSolver(SATFactory.MiniSat);
solver.options().setBitwidth(4);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
solver.options().setSkolemDepth(0);
final Solution sol = solver.solve(x267, bounds);
assertEquals(sol.outcome(), Solution.Outcome.TRIVIALLY_UNSATISFIABLE);
}
Example 7
| Source File: RegressionTests.java From kodkod with MIT License | 4 votes |
|
@Test
public final void testFelix_06192008() {
Relation x5 = Relation.unary("R");
List<String> atomlist = Arrays.asList("X");
Universe universe = new Universe(atomlist);
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
TupleSet x5_upper = factory.noneOf(1);
x5_upper.add(factory.tuple("X"));
bounds.bound(x5, x5_upper);
Variable x10=Variable.unary("a");
Expression x11=x5.difference(x5);
Decls x9=x10.oneOf(x11);
Variable x14=Variable.nary("b",2);
Expression x15=x5.product(x5);
Decls x13=x14.setOf(x15);
Expression x19=x5.product(x5);
Formula x17=x14.in(x19);
Expression x22=x10.product(x10);
Formula x21=x22.eq(x14);
Formula x16=x17.and(x21);
Formula x12=x16.forSome(x13);
Formula x7= x12.forAll(x9);
// System.out.println(x7);
Solver solver = new Solver();
solver.options().setSolver(SATFactory.DefaultSAT4J);
solver.options().setBitwidth(4);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
// System.out.println("Depth=0..."); System.out.flush();
solver.options().setSkolemDepth(0);
assertEquals(Solution.Outcome.TRIVIALLY_SATISFIABLE, solver.solve(x7, bounds).outcome());
// System.out.println("Depth=1..."); System.out.flush();
solver.options().setSkolemDepth(1);
final Solution sol = solver.solve(x7, bounds);
assertEquals(Solution.Outcome.SATISFIABLE, sol.outcome());
assertEquals(2, sol.instance().relations().size());
for(Relation r : sol.instance().relations()) {
assertTrue(sol.instance().tuples(r).isEmpty());
}
}
Example 8
| Source File: RegressionTests.java From kodkod with MIT License | 4 votes |
|
@Test
public final void testFelix_03062008_2() {
Relation x5 = Relation.unary("Role");
Relation x6 = Relation.unary("Session");
List<String> atomlist = Arrays.asList("Role$0", "Session$0", "Session$1");
Universe universe = new Universe(atomlist);
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
TupleSet x5_upper = factory.noneOf(1);
x5_upper.add(factory.tuple("Role$0"));
bounds.bound(x5, x5_upper);
TupleSet x6_upper = factory.noneOf(1);
x6_upper.add(factory.tuple("Session$0"));
x6_upper.add(factory.tuple("Session$1"));
bounds.bound(x6, x6_upper);
Variable x11=Variable.unary("x_a");
Decls x10=x11.oneOf(x6);
Variable x15=Variable.unary("x_b");
Decls x14=x15.oneOf(x5);
Variable x17=Variable.unary("x_c");
Decls x16=x17.oneOf(x5);
Decls x13=x14.and(x16);
Expression x20=x15.product(x17);
Expression x19=x11.product(x20);
Formula x18=x19.some();
Formula x12=x18.forSome(x13);
Formula x9=x12.forAll(x10);
Formula x24=x5.some();
Formula x23=x24.not();
Formula x28=x5.eq(x5);
Formula x29=x6.eq(x6);
Formula x25=x28.and(x29);
Formula x22=x23.and(x25);
Formula x8=x9.and(x22).and(x5.no()).and(x6.no());
Solver solver = new Solver();
solver.options().setSolver(SATFactory.DefaultSAT4J);
solver.options().setBitwidth(2);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
solver.options().setSkolemDepth(2);
System.out.flush();
Solution sol = solver.solve(x8, bounds);
Instance inst = sol.instance();
assertNotNull(inst);
for(Relation rel : inst.relations()) {
if (rel!=x5 && rel!=x6) {
final TupleSet range = inst.tuples(x6).product(inst.tuples(x5));
assertTrue(range.containsAll(inst.tuples(rel)));
}
}
}
Example 9
| Source File: JenaTranslator.java From quetzal with Eclipse Public License 2.0 | 4 votes |
|
private Pair<Formula, Decls> scopeInternal(Formula f, Expression dynamicBinding, Collection<Variable> projectedVars, Collection<Variable> outerBound) {
Decls ds = null, eds = null;
Set<Variable> used = ASTUtils.gatherVariables(f);
if (dynamicBinding != null) {
used.addAll(ASTUtils.gatherVariables(dynamicBinding));
}
List<Variable> orderedVars = sortVars(used);
for(Variable v : orderedVars) {
Expression r;
if (context.getDomain(v) != null ) {
r = context.getDomain(v).bound();
if (r == null) {
r = NULL;
}
} else {
r = NULL;
}
if (outerBound.contains(v)) {
continue;
}
Decl d = v.declare(Multiplicity.ONE, context.getStaticBinding().contains(v)? r: r.union(NULL));
if (! projectedVars.contains(v)) {
eds = eds==null? d: eds.and(d);
} else if (ds == null) {
ds = d;
} else {
ds = ds.and(d);
}
if (! context.getStaticBinding().contains(v)) {
if (context.getDynamicBinding() == null) {
f = f.and(v.eq(NULL));
} else {
f = f.and(varExpr(v).in(context.getDynamicBinding()).or(v.eq(NULL)));
}
}
}
if (eds != null) {
f = f.forSome(eds);
}
if (DEBUG) System.err.println("scope: " + eds + " -- " + ds);
return Pair.make(f, ds);
}
