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

Example 56 with Expression

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

the class GEO158 method c5.

/**
 * Returns the c5 axiom.
 *
 * @return c5
 */
public final Formula c5() {
    // all C: Curve, P, Q, R: endPoint.C |
    // P = Q || P = R || Q = R
    final Variable c = Variable.unary("C");
    final Variable p = Variable.unary("P");
    final Variable q = Variable.unary("Q");
    final Variable r = Variable.unary("R");
    final Expression e0 = endPoint.join(c);
    final Formula f0 = p.eq(q).or(p.eq(r)).or(q.eq(r));
    return f0.forAll(c.oneOf(curve).and(p.oneOf(e0)).and(q.oneOf(e0)).and(r.oneOf(e0)));
}

Example 57 with Expression

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

the class GEO158 method decls.

/**
 * Returns all the 'type' declarations.
 *
 * @return the type declarations
 */
public Formula decls() {
    final Expression cc = curve.product(curve);
    final Expression pc = point.product(curve);
    final Formula f0 = partOf.in(cc);
    final Formula f1 = closed.in(curve).and(open.in(curve));
    final Formula f2 = meet.in(point.product(cc)).and(sum.in(curve.product(cc)));
    final Formula f3 = incident.in(pc).and(endPoint.in(pc)).and(innerPoint.in(pc));
    // all C1, C2: Curve | one C2.(C1.sum)
    final Variable c1 = Variable.unary("C1");
    final Variable c2 = Variable.unary("C2");
    final Formula f4 = c2.join(c1.join(sum)).one().forAll(c1.oneOf(curve).and(c2.oneOf(curve)));
    return f0.and(f1).and(f2).and(f3).and(f4);
}

Example 58 with Expression

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

the class GEO158 method c6.

/**
 * Returns the c6 axiom.
 *
 * @return c6
 */
public final Formula c6() {
    // all C: Curve, P: endPoint.C | some endPoint.C - P
    final Variable c = Variable.unary("C");
    final Variable p = Variable.unary("P");
    final Expression e0 = endPoint.join(c);
    return e0.difference(p).some().forAll(c.oneOf(curve).and(p.oneOf(e0)));
}

Example 59 with Expression

use of kodkod.ast.Expression 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 60 with Expression

use of kodkod.ast.Expression 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);
}