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

Example 31 with Expression

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

the class GEO159 method betweenDefn.

/**
 * Returns the between_c_defn axiom.
 *
 * @return between_c_defn
 */
public final Formula betweenDefn() {
    // all c, p, q, r: point |
    // c->p->q->r in between <=> p != r && some p.endPoint & r.endPoint &
    // q.innerPoint & partOf.c
    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 e = p.join(endPoint).intersection(r.join(endPoint)).intersection(q.join(innerPoint)).intersection(partOf.join(c));
    final Formula f0 = c.product(p).product(q).product(r).in(between);
    final Formula f1 = p.eq(q).not().and(e.some());
    return f0.iff(f1).forAll(p.oneOf(point).and(q.oneOf(point)).and(r.oneOf(point)).and(c.oneOf(curve)));
}

Example 32 with Expression

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

the class LAT258 method leastUpperBoundJoin.

/**
 * Returns the least_upper_bound_join axiom.
 *
 * @return the least_upper_bound_join axiom.
 */
public final Formula leastUpperBoundJoin() {
    final Variable a = Variable.unary("A"), b = Variable.unary("B");
    final Expression e0 = b.join(a.join(meet));
    final Formula f0 = e0.some().implies(a.join(lessThan).intersection(b.join(lessThan)).in(e0.join(lessThan)));
    return f0.forAll(a.oneOf(UNIV).and(b.oneOf(UNIV)));
}

Example 33 with Expression

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

the class LAT258 method lowerBoundMeet.

/**
 * Returns the lower_bound_meet axiom.
 *
 * @return the lower_bound_meet axiom.
 */
public final Formula lowerBoundMeet() {
    final Variable c = Variable.unary("C");
    final Expression e0 = c.join(lessThan);
    final Formula f0 = meet.join(c).in(e0.product(e0));
    // all c: univ | meet.c in c.lessThan->c.lessThan
    return f0.forAll(c.oneOf(UNIV));
}

Example 34 with Expression

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

the class LAT258 method greatestLowerBoundMeet.

/*
     * fof(greatest_lower_bound_meet,axiom,( ! [A,B,C,D] : ( ( meet(A,B,C) &
     * less_than(D,A) & less_than(D,B) ) => less_than(D,C) ) )).
     */
/**
 * Returns the greatest_lower_bound_meet axiom.
 *
 * @return the greatest_lower_bound_meet axiom.
 */
public final Formula greatestLowerBoundMeet() {
    final Variable a = Variable.unary("A"), b = Variable.unary("B");
    final Expression e0 = b.join(a.join(meet));
    final Formula f0 = e0.some().implies(lessThan.join(a).intersection(lessThan.join(b)).in(lessThan.join(e0)));
    return f0.forAll(a.oneOf(UNIV).and(b.oneOf(UNIV)));
}

Example 35 with Expression

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

the class LAT258 method loLeDistr.

/**
 * Returns the lo_le_distr axiom.
 *
 * @return the lo_le_distr axiom.
 */
public final Formula loLeDistr() {
    final Variable a = Variable.unary("A"), b = Variable.unary("B"), c = Variable.unary("C");
    final Expression h = c.join(b.join(join));
    final Expression d = h.join(a.join(meet));
    final Expression e = b.join(a.join(meet));
    final Expression f = c.join(a.join(meet));
    final Expression g = f.join(e.join(join));
    final Formula f0 = d.product(g).in(lessThan);
    // (c.(a.meet)).((b.(a.meet)).join) in lessThan
    return f0.forAll(a.oneOf(UNIV).and(b.oneOf(UNIV)).and(c.oneOf(UNIV)));
}