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updated with immediate axioms

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2025-10-16 09:20:46 +02:00
parent d0a7b19806
commit b53e87dcba
4 changed files with 105 additions and 34 deletions
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28
src/ast/rewriter/finite_set_axioms.cpp
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@ -140,6 +140,15 @@ void finite_set_axioms::in_singleton_axiom(expr *x, expr *a) {
return;
expr_ref x_in_a(u.mk_in(x, a), m);
if (x == b) {
// If x and b are syntactically identical, then (x in a) is always true
expr_ref_vector clause(m);
clause.push_back(x_in_a);
m_add_clause(clause);
return;
}
expr_ref x_eq_b(m.mk_eq(x, b), m);
// (x in a) => (x == b)
@ -271,3 +280,22 @@ void finite_set_axioms::size_singleton_axiom(expr *a) {
clause.push_back(eq);
m_add_clause(clause);
}
void finite_set_axioms::subset_axiom(expr* a) {
expr *b = nullptr, *c = nullptr;
if (!u.is_subset(a, b, c))
return;
expr_ref intersect_bc(u.mk_intersect(b, c), m);
expr_ref eq(m.mk_eq(intersect_bc, b), m);
expr_ref_vector clause1(m);
clause1.push_back(m.mk_not(a));
clause1.push_back(eq);
m_add_clause(clause1);
expr_ref_vector clause2(m);
clause2.push_back(a);
clause2.push_back(m.mk_not(eq));
m_add_clause(clause2);
}

4
src/ast/rewriter/finite_set_axioms.h
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@ -61,6 +61,10 @@ public:
// (x in a) <=> (x in b) and p(x)
void in_select_axiom(expr *x, expr *a);
// a := set.subset(b, c)
// (a) <=> (set.intersect(b, c) = b)
void subset_axiom(expr *a);
// a := set.singleton(b)
// set.size(a) = 1
void size_singleton_axiom(expr *a);