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https://github.com/Z3Prover/z3
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added symbolic automata complement for sequences
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parent
5f449b5c0d
commit
73bd4acfc5
5 changed files with 174 additions and 180 deletions
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@ -86,20 +86,25 @@ public:
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expr_ref fml(m.mk_true(), m);
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return sym_expr::mk_pred(fml, m.mk_bool_sort());
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}
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virtual T mk_and(T x, T y) {
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if (x->is_char() && y->is_char()) {
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if (x->get_char() == y->get_char()) {
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return x;
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}
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if (m.are_distinct(x->get_char(), y->get_char())) {
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expr_ref fml(m.mk_false(), m);
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return sym_expr::mk_pred(fml, x->get_sort());
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}
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}
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var_ref v(m.mk_var(0, x->get_sort()), m);
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expr_ref fml1 = x->accept(v);
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expr_ref fml2 = y->accept(v);
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if (m.is_true(fml1)) return y;
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virtual T mk_and(T x, T y) {
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if (x->is_char() && y->is_char()) {
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if (x->get_char() == y->get_char()) {
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return x;
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}
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if (m.are_distinct(x->get_char(), y->get_char())) {
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expr_ref fml(m.mk_false(), m);
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return sym_expr::mk_pred(fml, x->get_sort());
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}
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}
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sort* s = x->get_sort();
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if (m.is_bool(s)) s = y->get_sort();
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var_ref v(m.mk_var(0, s), m);
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expr_ref fml1 = x->accept(v);
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expr_ref fml2 = y->accept(v);
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if (m.is_true(fml1)) {
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return y;
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}
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if (m.is_true(fml2)) return x;
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expr_ref fml(m.mk_and(fml1, fml2), m);
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return sym_expr::mk_pred(fml, x->get_sort());
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@ -166,6 +171,11 @@ public:
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expr_ref fml(m.mk_not(x->accept(v)), m);
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return sym_expr::mk_pred(fml, x->get_sort());
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}
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/*virtual vector<std::pair<vector<bool>, T>> generate_min_terms(vector<T> constraints){
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return 0;
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}*/
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};
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re2automaton::re2automaton(ast_manager& m): m(m), u(m), bv(m), m_ba(0), m_sa(0) {}
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@ -233,47 +243,9 @@ eautomaton* re2automaton::re2aut(expr* e) {
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TRACE("seq", tout << "Range expression is not handled: " << mk_pp(e, m) << "\n";);
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}
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}
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else if (u.re.is_complement(e, e0)) {
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// TBD non-standard semantics of complementation.
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if (u.re.is_range(e0, e1, e2) && u.str.is_string(e1, s1) && u.str.is_string(e2, s2) &&
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s1.length() == 1 && s2.length() == 1) {
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unsigned start = s1[0];
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unsigned stop = s2[0];
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unsigned nb = s1.num_bits();
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sort_ref s(bv.mk_sort(nb), m);
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expr_ref v(m.mk_var(0, s), m);
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expr_ref _start(bv.mk_numeral(start, nb), m);
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expr_ref _stop(bv.mk_numeral(stop, nb), m);
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expr_ref _pred(m.mk_not(m.mk_and(bv.mk_ule(_start, v), bv.mk_ule(v, _stop))), m);
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a = alloc(eautomaton, sm, sym_expr::mk_pred(_pred, s));
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display_expr1 disp(m);
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TRACE("seq", tout << mk_pp(e, m) << "\n"; a->display(tout, disp););
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return a.detach();
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}
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else if (u.re.is_to_re(e0, e1) && u.str.is_string(e1, s1) && s1.length() == 1) {
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unsigned nb = s1.num_bits();
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sort_ref s(bv.mk_sort(nb), m);
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expr_ref v(m.mk_var(0, s), m);
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expr_ref _ch(bv.mk_numeral(s1[0], nb), m);
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expr_ref _pred(m.mk_not(m.mk_eq(v, _ch)), m);
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a = alloc(eautomaton, sm, sym_expr::mk_pred(_pred, s));
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display_expr1 disp(m);
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TRACE("seq", tout << mk_pp(e, m) << "\n"; a->display(tout, disp););
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return a.detach();
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}
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else if (u.re.is_to_re(e0, e1) && u.str.is_unit(e1, e2)) {
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sort* s = m.get_sort(e2);
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expr_ref v(m.mk_var(0, s), m);
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expr_ref _pred(m.mk_not(m.mk_eq(v, e2)), m);
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a = alloc(eautomaton, sm, sym_expr::mk_pred(_pred, s));
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display_expr1 disp(m);
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TRACE("seq", tout << mk_pp(e, m) << "\n"; a->display(tout, disp););
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return a.detach();
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}
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else {
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TRACE("seq", tout << "Complement expression is not handled: " << mk_pp(e, m) << "\n";);
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}
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}
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else if (u.re.is_complement(e, e0) && (a = re2aut(e0)) && m_sa) {
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return m_sa->mk_complement(*a);
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}
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else if (u.re.is_loop(e, e1, lo, hi) && (a = re2aut(e1))) {
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scoped_ptr<eautomaton> eps = eautomaton::mk_epsilon(sm);
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b = eautomaton::mk_epsilon(sm);
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