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https://github.com/Z3Prover/z3
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Add constant-bound shortcut for string comparison constraints
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2 changed files with 77 additions and 0 deletions
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@ -696,6 +696,14 @@ bool theory_seq::check_lts() {
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literal eq = (b == c) ? true_literal : mk_eq(b, c, false);
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bool is_strict = is_strict1 || is_strict2;
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zstring sa, sd;
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if (m_util.str.is_string(a, sa) && m_util.str.is_string(d, sd)) {
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bool ok = is_strict ? sa < sd : !(sd < sa);
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if (!ok) {
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add_axiom(~r1, ~r2, ~eq);
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}
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continue;
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}
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if (is_strict) {
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add_axiom(~r1, ~r2, ~eq, mk_literal(m_util.str.mk_lex_lt(a, d)));
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}
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@ -3155,6 +3163,57 @@ void theory_seq::assign_eh(bool_var v, bool is_true) {
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}
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else if (m_util.str.is_lt(e) || m_util.str.is_le(e)) {
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m_lts.push_back(e);
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expr* a = nullptr, *b = nullptr;
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zstring c;
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bool is_lower = false;
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expr* x = nullptr;
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if (is_true && m_util.str.is_lt(e, a, b)) {
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if (m_util.str.is_string(a, c) && !m_util.str.is_string(b)) {
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is_lower = true;
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x = b;
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}
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else if (!m_util.str.is_string(a) && m_util.str.is_string(b, c)) {
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is_lower = false;
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x = a;
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}
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}
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if (x && ctx.get_enode(x)) {
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enode* x_root = ctx.get_enode(x)->get_root();
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for (expr* p : m_lts) {
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if (p == e)
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continue;
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expr* pa = nullptr, *pb = nullptr;
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zstring pc;
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bool p_is_lower = false;
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expr* px = nullptr;
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if (!m_util.str.is_lt(p, pa, pb))
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continue;
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literal p_lit = ctx.get_literal(p);
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if (p_lit == true_literal || p_lit == false_literal || ctx.get_assignment(p_lit) != l_true)
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continue;
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if (m_util.str.is_string(pa, pc) && !m_util.str.is_string(pb)) {
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p_is_lower = true;
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px = pb;
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}
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else if (!m_util.str.is_string(pa) && m_util.str.is_string(pb, pc)) {
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p_is_lower = false;
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px = pa;
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}
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if (!px || p_is_lower == is_lower || !ctx.get_enode(px))
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continue;
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if (ctx.get_enode(px)->get_root() != x_root)
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continue;
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zstring const& lower = is_lower ? c : pc;
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zstring const& upper = is_lower ? pc : c;
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if (!(lower < upper)) {
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literal_vector lits;
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lits.push_back(lit);
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lits.push_back(p_lit);
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set_conflict(nullptr, lits);
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return;
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}
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}
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}
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}
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else if (m_util.str.is_nth_i(e) || m_util.str.is_nth_u(e)) {
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// no-op
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@ -15,6 +15,7 @@ Tests:
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17. Solver: (str.in_re x (re.range x x)) sat when len(x)=1
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18. Solver: (str.in_re x (re.range x x)) unsat when len(x)=2
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19. Solver: inverted symbolic bounds make membership unsatisfiable
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20. Solver: contradictory constant lexical bounds are unsatisfiable
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--*/
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#include "ast/arith_decl_plugin.h"
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@ -253,6 +254,23 @@ void tst_seq_rewriter() {
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std::cout << "symbolic range solver inverted bounds unsat: " << res << "\n";
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ENSURE(res == l_false);
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}
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// 20. unsat: contradictory constant lexical bounds.
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// "2024-01-01" < x < "2024-12-31" and x < "2023-01-01".
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{
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smt_params sp;
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smt::context ctx(m, sp);
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app_ref x(m.mk_fresh_const("x", str_sort), m);
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expr_ref b1(su.str.mk_string("2024-01-01"), m);
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expr_ref b2(su.str.mk_string("2024-12-31"), m);
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expr_ref b3(su.str.mk_string("2023-01-01"), m);
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ctx.assert_expr(su.str.mk_lex_lt(b1, x));
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ctx.assert_expr(su.str.mk_lex_lt(x, b2));
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ctx.assert_expr(su.str.mk_lex_lt(x, b3));
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lbool res = ctx.check();
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std::cout << "constant lexical bounds unsat: " << res << "\n";
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ENSURE(res == l_false);
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}
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}
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std::cout << "tst_seq_rewriter: all tests passed\n";
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