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

Example 91 with Expression

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

the class GEO158 method innerPointDefn.

/**
 * Returns the inner_point_defn axiom.
 *
 * @return inner_point_defn
 */
public final Formula innerPointDefn() {
    // all P: Point, C: Curve | P->C in innerPoint iff
    // (P->C in incident && no P->C & endPoint)
    final Variable c = Variable.unary("C");
    final Variable p = Variable.unary("P");
    final Expression e0 = p.product(c);
    final Formula f0 = e0.in(innerPoint);
    final Formula f1 = e0.in(incident).and(e0.intersection(endPoint).no());
    return f0.iff(f1).forAll(p.oneOf(point).and(c.oneOf(curve)));
}

Example 92 with Expression

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

the class AbstractWorldDefinitions method Abstract.

/**
 * Returns the application of the Abstract predicate.
 *
 * @return application of the Abstract predicate.
 */
public Formula Abstract(Expression s) {
    final Expression e0 = s.join(abAuthPurse).join(abBalance).join(s).intersection(s.join(abAuthPurse).join(abLost).join(s));
    final Formula f0 = e0.no();
    final Expression e1 = s.join(abAuthPurse).product(Expression.UNIV);
    final Expression e2 = e1.intersection((abBalance.union(abLost)).join(s));
    final Formula f1 = e2.in(AbPurse.product(Coin));
    final Variable c = Variable.unary("c");
    final Formula f2 = e2.join(c).lone().forAll(c.oneOf(Coin));
    return Formula.and(f0, f1, f2);
}

Example 93 with Expression

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

the class Dijkstra method releaseMutex.

/**
 * Returns the GrabMutex predicate for states s1, s2, process p and mutex m.
 *
 * @return
 *
 *         <pre>
 * pred State.ReleaseMutex (p: Process, m: Mutex, s': State) {
 *   !this::IsStalled(p)
 *   m in p.(this.holds)
 *   p.(s'.holds) = p.(this.holds) - m
 *   no p.(s'.waits)
 *   no m.~(this.waits) => {
 *       no m.~(s'.holds)
 *       no m.~(s'.waits)
 *    } else {
 *       some lucky: m.~(this.waits) | {
 *       m.~(s'.waits) = m.~(this.waits) - lucky
 *     m.~(s'.holds) = lucky
 *    }
 *   }
 *   all mu: Mutex - m {
 *     mu.~(s'.waits) = mu.~(this.waits)
 *     mu.~(s'.holds)= mu.~(this.holds)
 *   }
 * }
 *         </pre>
 */
public Formula releaseMutex(Expression s1, Expression s2, Expression p, Expression m) {
    final Formula f1 = isStalled(s1, p).not().and(m.in(p.join(s1.join(holds))));
    final Formula f2 = p.join(s2.join(holds)).eq(p.join(s1.join(holds)).difference(m));
    final Formula f3 = p.join(s2.join(waits)).no();
    final Expression cexpr = m.join((s1.join(waits)).transpose());
    final Formula f4 = m.join(s2.join(holds).transpose()).no();
    final Formula f5 = m.join(s2.join(waits).transpose()).no();
    final Formula f6 = cexpr.no().implies(f4.and(f5));
    final Variable lucky = Variable.unary("lucky");
    final Formula f7 = m.join(s2.join(waits).transpose()).eq(m.join(s1.join(waits).transpose()).difference(lucky));
    final Formula f8 = m.join(s2.join(holds).transpose()).eq(lucky);
    final Formula f9 = f7.and(f8).forSome(lucky.oneOf(m.join(s1.join(waits).transpose())));
    final Formula f10 = cexpr.some().implies(f9);
    final Variable mu = Variable.unary("mu");
    final Formula f11 = mu.join(s2.join(waits).transpose()).eq(mu.join(s1.join(waits).transpose()));
    final Formula f12 = mu.join(s2.join(holds).transpose()).eq(mu.join(s1.join(holds).transpose()));
    final Formula f13 = f11.and(f12).forAll(mu.oneOf(Mutex.difference(m)));
    return Formula.and(f1, f2, f3, f6, f10, f13);
}

Example 94 with Expression

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

the class MED001 method bg_completion.

/**
 * Returns the bg_completion axiom.
 *
 * @return bg_completion
 */
public final Formula bg_completion() {
    final Variable x0 = Variable.unary("X0");
    final Expression x1 = UNIV.difference(x0.join(gt));
    final Formula f0 = x1.in(releaselg).not();
    return f0.implies(x1.in(drugbg)).forAll(x0.oneOf(UNIV));
}

Example 95 with Expression

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

the class MED001 method liver_glucose.

/**
 * Returns the liver_glucose axiom.
 *
 * @return liver_glucose
 */
public final Formula liver_glucose() {
    final Variable x0 = Variable.unary("X0");
    final Expression x1 = UNIV.difference(x0.join(gt));
    return x1.in(uptakelg).implies(x1.in(releaselg).not()).forAll(x0.oneOf(UNIV));
}