Examples with Variable kodkod.ast.Variable used on opensource projects

Example 71 with Variable

use of kodkod.ast.Variable in project org.alloytools.alloy by AlloyTools.

the class GEO158 method c7.

/**
 * Returns the c7 axiom.
 *
 * @return c7
 */
public final Formula c7() {
    // all C, C1, C2: Curve, P: Point | (C in Closed &&
    // P->C1->C2 in meet && sum[C1][C2] = C) =>
    // ((endPoint.C1)->C1->C2 in meet)
    final Variable c = Variable.unary("C");
    final Variable c1 = Variable.unary("C1");
    final Variable c2 = Variable.unary("C2");
    final Variable p = Variable.unary("P");
    final Formula f0 = c.in(closed).and(p.product(c1).product(c2).in(meet));
    final Formula f1 = c2.join(c1.join(sum)).eq(c);
    final Formula f2 = endPoint.join(c1).product(c1).product(c2).in(meet);
    return f0.and(f1).implies(f2).forAll(c.oneOf(curve).and(c1.oneOf(curve)).and(c2.oneOf(curve)).and(p.oneOf(point)));
}

Example 72 with Variable

use of kodkod.ast.Variable in project org.alloytools.alloy by AlloyTools.

the class GEO158 method meetDefn.

/**
 * Returns the meet_defn axiom.
 *
 * @return meet_defn
 */
public final Formula meetDefn() {
    // all P: Point, C, C1: Curve | P->C->C1 in meet iff
    // (P->C in incident && P->C1 in incident &&
    // incident.C & incident.C1 in endPoint.C & endPoint.C1)
    final Variable c = Variable.unary("C");
    final Variable c1 = Variable.unary("C1");
    final Variable p = Variable.unary("P");
    final Formula f0 = p.product(c).product(c1).in(meet);
    final Formula f1 = p.product(c).in(incident).and(p.product(c1).in(incident));
    final Expression e0 = incident.join(c).intersection(incident.join(c1));
    final Expression e1 = endPoint.join(c).intersection(endPoint.join(c1));
    final Formula f2 = e0.in(e1);
    final Formula f3 = f0.iff(f1.and(f2));
    return f3.forAll(p.oneOf(point).and(c.oneOf(curve)).and(c1.oneOf(curve)));
}

Example 73 with Variable

use of kodkod.ast.Variable in project org.alloytools.alloy by AlloyTools.

the class GEO158 method c1.

/**
 * Returns the c1 axiom.
 *
 * @return c1
 */
public final Formula c1() {
    // all C, C1: Curve | (C1->C in partOf && C1 != C) => C1 in Open
    final Variable c = Variable.unary("C");
    final Variable c1 = Variable.unary("C1");
    final Formula f0 = c1.product(c).in(partOf).and(c1.eq(c).not());
    final Formula f1 = c1.in(open);
    return f0.implies(f1).forAll(c.oneOf(curve).and(c1.oneOf(curve)));
}

Example 74 with Variable

use of kodkod.ast.Variable in project org.alloytools.alloy by AlloyTools.

the class GEO158 method c2.

/**
 * Returns the c2 axiom.
 *
 * @return c2
 */
public final Formula c2() {
    // all C, C1, C2, C3: Curve | ((C1 + C2 + C3)->C in partOf &&
    // some endPoint.C1 & endPoint.C2 & endPoint.C3) =>
    // (C2->C3 in partOf || C3->C2 in partOf || C1->C2 in partOf ||
    // C2->C1 in partOf || C1->C3 in partOf || C3->C1 in partOf)
    final Variable c = Variable.unary("C");
    final Variable c1 = Variable.unary("C1");
    final Variable c2 = Variable.unary("C2");
    final Variable c3 = Variable.unary("C3");
    final Formula f0 = c1.union(c2).union(c3).product(c).in(partOf);
    final Formula f1 = endPoint.join(c1).intersection(endPoint.join(c2)).intersection(endPoint.join(c3)).some();
    final Formula f2 = c2.product(c3).in(partOf).or(c3.product(c2).in(partOf));
    final Formula f3 = c1.product(c2).in(partOf).or(c2.product(c1).in(partOf));
    final Formula f4 = c1.product(c3).in(partOf).or(c3.product(c1).in(partOf));
    return f0.and(f1).implies(f2.or(f3).or(f4)).forAll(c.oneOf(curve).and(c1.oneOf(curve)).and(c2.oneOf(curve)).and(c3.oneOf(curve)));
}

Example 75 with Variable

use of kodkod.ast.Variable in project org.alloytools.alloy by AlloyTools.

the class GRA013_026 method cliqueAxiom.

private final Formula cliqueAxiom(Expression color) {
    final Variable[] vars = new Variable[cliqueSize];
    for (int i = 0; i < cliqueSize; i++) {
        vars[i] = Variable.unary("V" + i);
    }
    final List<Expression> members = new ArrayList<Expression>(cliqueSize);
    for (int i = 0, max = cliqueSize - 1; i < max; i++) {
        final List<Expression> tmp = new ArrayList<Expression>();
        for (int j = i + 1; j < cliqueSize; j++) {
            tmp.add(vars[j]);
        }
        members.add(vars[i].product(Expression.union(tmp)));
    }
    Decls d = vars[0].oneOf(node);
    for (int i = 1; i < cliqueSize; i++) {
        d = d.and(vars[i].oneOf(vars[i - 1].join(lessThan)));
    }
    return Expression.union(members).in(color).implies(goalToBeProved()).forAll(d);
}