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

Example 66 with Variable

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

the class GEO092 method proposition2141.

/*
     * fof(proposition_2_14_1,conjecture, ( ! [C1,C2,P] : ( ( meet(P,C1,C2) &
     * open(sum(C1,C2)) ) => ! [Q] : ( Q != P => ~ ( incident_c(Q,C1) &
     * incident_c(Q,C2) ) ) ) )).
     */
/**
 * Returns the conjecture proposition_2_14_1.
 *
 * @return proposition_2_14_1
 */
public final Formula proposition2141() {
    // all c1, c2: curve, p: point |
    // p->c1->c2 in meet && c1->c2 in sum.open =>
    // all q: point - p | c1 + c2 !in q.incident
    final Variable c1 = Variable.unary("C1");
    final Variable c2 = Variable.unary("C2");
    final Variable p = Variable.unary("P");
    final Variable q = Variable.unary("Q");
    final Expression e0 = c1.product(c2);
    final Formula f0 = p.product(e0).in(meet).and(e0.in(sum.join(open)));
    final Formula f1 = c1.union(c2).in(q.join(incident)).not().forAll(q.oneOf(point.difference(p)));
    return f0.implies(f1).forAll(c1.oneOf(curve).and(c2.oneOf(curve)).and(p.oneOf(point)));
}

Example 67 with Variable

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

the class GEO158 method endPointDefn.

/**
 * Returns the end_point_defn axiom.
 *
 * @return end_point_defn
 */
public final Formula endPointDefn() {
    /*
         * all P: Point, C: Curve | P->C in endPoint iff (P->C in incident && all C1,
         * C2: partOf.C & P.incident | C1->C2 in partOf || C2->C1 in partOf)
         */
    final Variable c = Variable.unary("C");
    final Variable p = Variable.unary("P");
    final Expression e0 = p.product(c);
    final Formula f0 = e0.in(endPoint);
    final Formula f1 = e0.in(incident);
    final Variable c1 = Variable.unary("C1"), c2 = Variable.unary("C2");
    final Formula f2 = c1.product(c2).in(partOf).or(c2.product(c1).in(partOf));
    final Expression e1 = partOf.join(c).intersection(p.join(incident));
    final Formula f3 = f2.forAll(c1.oneOf(e1).and(c2.oneOf(e1)));
    return f0.iff(f1.and(f3)).forAll(p.oneOf(point).and(c.oneOf(curve)));
}

Example 68 with Variable

use of kodkod.ast.Variable 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 69 with Variable

use of kodkod.ast.Variable 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 70 with Variable

use of kodkod.ast.Variable 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)));
}