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https://github.com/Z3Prover/z3
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add seq methods
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner
parent
d9fee9af1e
commit
ca96fea2c0
4 changed files with 484 additions and 12 deletions
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@ -276,6 +276,7 @@ br_status seq_rewriter::mk_str_strrepl(expr* a, expr* b, expr* c, expr_ref& resu
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}
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br_status seq_rewriter::mk_seq_prefix(expr* a, expr* b, expr_ref& result) {
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TRACE("seq", tout << mk_pp(a, m()) << " " << mk_pp(b, m()) << "\n";);
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std::string s1, s2;
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bool isc1 = m_util.str.is_string(a, s1);
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bool isc2 = m_util.str.is_string(b, s2);
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@ -309,7 +310,7 @@ br_status seq_rewriter::mk_seq_prefix(expr* a, expr* b, expr_ref& result) {
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SASSERT(as.size() > 1);
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s2 = std::string(s2.c_str() + s1.length(), s2.length() - s1.length());
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bs[0] = m_util.str.mk_string(s2);
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m_util.str.mk_prefix(m_util.str.mk_concat(as.size()-1, as.c_ptr()+1),
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result = m_util.str.mk_prefix(m_util.str.mk_concat(as.size()-1, as.c_ptr()+1),
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m_util.str.mk_concat(bs.size(), bs.c_ptr()));
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return BR_REWRITE_FULL;
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}
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@ -329,7 +330,7 @@ br_status seq_rewriter::mk_seq_prefix(expr* a, expr* b, expr_ref& result) {
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SASSERT(bs.size() > 1);
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s1 = std::string(s1.c_str() + s2.length(), s1.length() - s2.length());
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as[0] = m_util.str.mk_string(s1);
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m_util.str.mk_prefix(m_util.str.mk_concat(as.size(), as.c_ptr()),
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result = m_util.str.mk_prefix(m_util.str.mk_concat(as.size(), as.c_ptr()),
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m_util.str.mk_concat(bs.size()-1, bs.c_ptr()+1));
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return BR_REWRITE_FULL;
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}
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@ -352,7 +353,7 @@ br_status seq_rewriter::mk_seq_prefix(expr* a, expr* b, expr_ref& result) {
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}
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if (i == bs.size()) {
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expr_ref_vector es(m());
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for (unsigned j = i; j < as.size(); ++i) {
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for (unsigned j = i; j < as.size(); ++j) {
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es.push_back(m().mk_eq(m_util.str.mk_empty(m().get_sort(a)), as[j]));
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}
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result = mk_and(es);
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@ -369,16 +370,11 @@ br_status seq_rewriter::mk_seq_prefix(expr* a, expr* b, expr_ref& result) {
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}
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br_status seq_rewriter::mk_seq_suffix(expr* a, expr* b, expr_ref& result) {
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std::string s1, s2;
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bool isc1 = m_util.str.is_string(a, s1);
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if (isc1 && m_util.str.is_string(b, s2)) {
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bool suffix = s1.length() <= s2.length();
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for (unsigned i = 0; i < s1.length() && suffix; ++i) {
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suffix = s1[s1.length() - i - 1] == s2[s2.length() - i - 1];
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}
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result = m().mk_bool_val(suffix);
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if (a == b) {
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result = m().mk_true();
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return BR_DONE;
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}
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std::string s1, s2;
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if (m_util.str.is_empty(a)) {
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result = m().mk_true();
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return BR_DONE;
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@ -394,6 +390,79 @@ br_status seq_rewriter::mk_seq_suffix(expr* a, expr* b, expr_ref& result) {
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result = m_util.str.mk_suffix(a1, b1);
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return BR_REWRITE1;
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}
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if (m_util.str.is_concat(b, b1, b2) && b2 == a) {
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result = m().mk_true();
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return BR_DONE;
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}
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bool isc1 = false;
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bool isc2 = false;
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if (m_util.str.is_concat(a, a1, a2) && m_util.str.is_string(a2, s1)) {
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isc1 = true;
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}
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else if (m_util.str.is_string(a, s1)) {
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isc1 = true;
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a2 = a;
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a1 = 0;
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}
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if (m_util.str.is_concat(b, b1, b2) && m_util.str.is_string(b2, s2)) {
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isc2 = true;
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}
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else if (m_util.str.is_string(b, s2)) {
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isc2 = true;
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b2 = b;
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b1 = 0;
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}
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if (isc1 && isc2) {
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if (s1.length() == s2.length()) {
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SASSERT(s1 != s2);
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result = m().mk_false();
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return BR_DONE;
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}
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else if (s1.length() < s2.length()) {
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bool suffix = true;
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for (unsigned i = 0; i < s1.length(); ++i) {
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suffix = s1[s1.length()-i-1] == s2[s2.length()-i-1];
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}
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if (suffix && a1 == 0) {
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result = m().mk_true();
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return BR_DONE;
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}
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else if (suffix) {
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s2 = std::string(s2.c_str(), s2.length()-s1.length());
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b2 = m_util.str.mk_string(s2);
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result = m_util.str.mk_suffix(a1, b1?m_util.str.mk_concat(b1, b2):b2);
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return BR_DONE;
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}
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else {
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result = m().mk_false();
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return BR_DONE;
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}
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}
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else {
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SASSERT(s1.length() > s2.length());
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if (b1 == 0) {
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result = m().mk_false();
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return BR_DONE;
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}
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bool suffix = true;
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for (unsigned i = 0; i < s2.length(); ++i) {
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suffix = s1[s1.length()-i-1] == s2[s2.length()-i-1];
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}
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if (suffix) {
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s1 = std::string(s1.c_str(), s1.length()-s2.length());
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a2 = m_util.str.mk_string(s1);
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result = m_util.str.mk_suffix(a1?m_util.str.mk_concat(a1, a2):a2, b1);
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return BR_DONE;
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}
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else {
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result = m().mk_false();
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return BR_DONE;
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}
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}
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}
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return BR_FAILED;
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}
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@ -289,9 +289,15 @@ func_decl * seq_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters,
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ast_manager& m = *m_manager;
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sort_ref rng(m);
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switch(k) {
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case OP_SEQ_UNIT:
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case OP_SEQ_EMPTY:
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match(*m_sigs[k], arity, domain, range, rng);
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if (rng == m_string) {
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parameter param(symbol(""));
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return mk_func_decl(OP_STRING_CONST, 1, ¶m, 0, 0, m_string);
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}
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return m.mk_func_decl(m_sigs[k]->m_name, arity, domain, rng, func_decl_info(m_family_id, k));
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case OP_SEQ_UNIT:
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case OP_RE_PLUS:
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case OP_RE_STAR:
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case OP_RE_OPTION:
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306
src/smt/theory_seq.cpp
Normal file
306
src/smt/theory_seq.cpp
Normal file
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@ -0,0 +1,306 @@
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/*++
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Copyright (c) 2015 Microsoft Corporation
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Module Name:
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theory_seq.h
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Abstract:
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Native theory solver for sequences.
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Author:
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Nikolaj Bjorner (nbjorner) 2015-6-12
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Revision History:
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--*/
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#include "value_factory.h"
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#include "smt_context.h"
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#include "smt_model_generator.h"
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#include "theory_seq.h"
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using namespace smt;
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theory_seq::theory_seq(ast_manager& m):
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theory(m.mk_family_id("seq")),
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m_axioms_head(0),
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m_axioms(m),
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m_ineqs(m),
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m_used(false),
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m_rewrite(m),
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m_util(m),
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m_autil(m),
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m_trail_stack(*this),
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m_find(*this) {}
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final_check_status theory_seq::final_check_eh() {
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context & ctx = get_context();
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ast_manager& m = get_manager();
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final_check_status st = check_ineqs();
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if (st == FC_CONTINUE) {
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return FC_CONTINUE;
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}
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return m_used?FC_GIVEUP:FC_DONE;
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}
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final_check_status theory_seq::check_ineqs() {
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context & ctx = get_context();
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ast_manager& m = get_manager();
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enode_pair_vector eqs;
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for (unsigned i = 0; i < m_ineqs.size(); ++i) {
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expr_ref a(m_ineqs[i].get(), m);
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expr_ref b = canonize(a, eqs);
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if (m.is_true(b)) {
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ctx.internalize(a, false);
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literal lit(ctx.get_literal(a));
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ctx.mark_as_relevant(lit);
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ctx.assign(
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lit,
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ctx.mk_justification(
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ext_theory_propagation_justification(
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get_id(), ctx.get_region(), 0, 0, eqs.size(), eqs.c_ptr(), lit)));
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return FC_CONTINUE;
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}
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}
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return FC_DONE;
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}
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final_check_status theory_seq::simplify_eqs() {
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bool simplified = false;
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for (unsigned i = 0; i < get_num_vars(); ++i) {
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theory_var v = m_find.find(i);
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if (v != i) continue;
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}
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if (simplified) {
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return FC_CONTINUE;
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}
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return FC_DONE;
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}
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final_check_status theory_seq::add_axioms() {
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for (unsigned i = 0; i < get_num_vars(); ++i) {
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// add axioms for len(x) when x = a ++ b
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}
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return FC_DONE;
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}
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bool theory_seq::internalize_atom(app* a, bool) {
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return internalize_term(a);
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}
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bool theory_seq::internalize_term(app* term) {
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m_used = true;
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context & ctx = get_context();
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ast_manager& m = get_manager();
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unsigned num_args = term->get_num_args();
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for (unsigned i = 0; i < num_args; i++) {
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ctx.internalize(term->get_arg(i), false);
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}
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if (ctx.e_internalized(term)) {
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return true;
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}
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enode * e = ctx.mk_enode(term, false, m.is_bool(term), true);
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if (m.is_bool(term)) {
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bool_var bv = ctx.mk_bool_var(term);
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ctx.set_var_theory(bv, get_id());
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ctx.set_enode_flag(bv, true);
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}
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else {
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theory_var v = mk_var(e);
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ctx.attach_th_var(e, this, v);
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}
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// assert basic axioms
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if (!m_used) { m_trail_stack.push(value_trail<theory_seq,bool>(m_used)); m_used = true; }
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return true;
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}
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theory_var theory_seq::mk_var(enode* n) {
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theory_var r = theory::mk_var(n);
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VERIFY(r == m_find.mk_var());
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return r;
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}
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bool theory_seq::can_propagate() {
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return m_axioms_head < m_axioms.size();
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}
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expr_ref theory_seq::canonize(expr* e, enode_pair_vector& eqs) {
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eqs.reset();
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expr_ref result = expand(e, eqs);
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m_rewrite(result);
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return result;
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}
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expr_ref theory_seq::expand(expr* e, enode_pair_vector& eqs) {
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context& ctx = get_context();
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ast_manager& m = get_manager();
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expr* e1, *e2;
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SASSERT(ctx.e_internalized(e));
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enode* n = ctx.get_enode(e);
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enode* start = n;
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do {
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e = n->get_owner();
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if (m_util.str.is_concat(e, e1, e2)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(m_util.str.mk_concat(expand(e1, eqs), expand(e2, eqs)), m);
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}
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if (m_util.str.is_empty(e) || m_util.str.is_string(e)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(e, m);
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}
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if (m.is_eq(e, e1, e2)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(m.mk_eq(expand(e1, eqs), expand(e2, eqs)), m);
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}
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if (m_util.str.is_prefix(e, e1, e2)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(m_util.str.mk_prefix(expand(e1, eqs), expand(e2, eqs)), m);
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}
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if (m_util.str.is_suffix(e, e1, e2)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(m_util.str.mk_suffix(expand(e1, eqs), expand(e2, eqs)), m);
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}
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if (m_util.str.is_contains(e, e1, e2)) {
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(m_util.str.mk_contains(expand(e1, eqs), expand(e2, eqs)), m);
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}
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#if 0
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if (m_util.str.is_unit(e)) {
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// TBD: canonize the element.
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if (start != n) eqs.push_back(enode_pair(start, n));
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return expr_ref(e, m);
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}
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#endif
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n = n->get_next();
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}
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while (n != start);
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return expr_ref(n->get_root()->get_owner(), m);
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}
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void theory_seq::propagate() {
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context & ctx = get_context();
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ast_manager& m = get_manager();
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while (m_axioms_head < m_axioms.size() && !ctx.inconsistent()) {
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expr_ref e(m);
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e = m_axioms[m_axioms_head].get();
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assert_axiom(e);
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++m_axioms_head;
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}
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}
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void theory_seq::create_axiom(expr_ref& e) {
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m_trail_stack.push(push_back_vector<theory_seq, expr_ref_vector>(m_axioms));
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m_axioms.push_back(e);
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}
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void theory_seq::assert_axiom(expr_ref& e) {
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context & ctx = get_context();
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ast_manager& m = get_manager();
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if (m.is_true(e)) return;
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TRACE("seq", tout << "asserting " << e << "\n";);
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ctx.internalize(e, false);
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literal lit(ctx.get_literal(e));
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ctx.mark_as_relevant(lit);
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ctx.mk_th_axiom(get_id(), 1, &lit);
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}
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expr_ref theory_seq::mk_skolem(char const* name, expr* e1, expr* e2) {
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ast_manager& m = get_manager();
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expr_ref result(m);
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sort* s = m.get_sort(e1);
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SASSERT(s == m.get_sort(e2));
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sort* ss[2] = { s, s };
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result = m.mk_app(m.mk_func_decl(symbol("#prefix_eq"), 2, ss, s), e1, e2);
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return result;
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}
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void theory_seq::propagate_eq(bool_var v, expr* e1, expr* e2) {
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context& ctx = get_context();
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ctx.internalize(e1, false);
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enode* n1 = ctx.get_enode(e1);
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enode* n2 = ctx.get_enode(e2);
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literal lit(v);
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ctx.assign_eq(n1, n2, eq_justification(
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alloc(ext_theory_eq_propagation_justification,
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get_id(), ctx.get_region(), 1, &lit, 0, 0, n1, n2)));
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}
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void theory_seq::assign_eq(bool_var v, bool is_true) {
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context & ctx = get_context();
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ast_manager& m = get_manager();
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enode* n = ctx.bool_var2enode(v);
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app* e = n->get_owner();
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if (is_true) {
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expr* e1, *e2;
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expr_ref f(m);
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if (m_util.str.is_prefix(e, e1, e2)) {
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f = mk_skolem("#prefix_eq", e1, e2);
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f = m_util.str.mk_concat(e1, f);
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propagate_eq(v, f, e2);
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}
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else if (m_util.str.is_suffix(e, e1, e2)) {
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f = mk_skolem("#suffix_eq", e1, e2);
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f = m_util.str.mk_concat(f, e1);
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propagate_eq(v, f, e2);
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}
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else if (m_util.str.is_contains(e, e1, e2)) {
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expr_ref f1 = mk_skolem("#contains_eq1", e1, e2);
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expr_ref f2 = mk_skolem("#contains_eq2", e1, e2);
|
||||
f = m_util.str.mk_concat(m_util.str.mk_concat(f1, e1), f2);
|
||||
propagate_eq(v, f, e2);
|
||||
}
|
||||
else if (m_util.str.is_in_re(e, e1, e2)) {
|
||||
NOT_IMPLEMENTED_YET();
|
||||
}
|
||||
else {
|
||||
UNREACHABLE();
|
||||
}
|
||||
}
|
||||
else {
|
||||
m_trail_stack.push(push_back_vector<theory_seq, expr_ref_vector>(m_ineqs));
|
||||
m_ineqs.push_back(e);
|
||||
}
|
||||
}
|
||||
|
||||
void theory_seq::new_eq_eh(theory_var v1, theory_var v2) {
|
||||
m_find.merge(v1, v2);
|
||||
}
|
||||
|
||||
void theory_seq::new_diseq_eh(theory_var v1, theory_var v2) {
|
||||
ast_manager& m = get_manager();
|
||||
expr* e1 = get_enode(v1)->get_owner();
|
||||
expr* e2 = get_enode(v2)->get_owner();
|
||||
m_trail_stack.push(push_back_vector<theory_seq, expr_ref_vector>(m_ineqs));
|
||||
m_ineqs.push_back(m.mk_eq(e1, e2));
|
||||
}
|
||||
|
||||
void theory_seq::push_scope_eh() {
|
||||
theory::push_scope_eh();
|
||||
m_trail_stack.push_scope();
|
||||
m_trail_stack.push(value_trail<theory_seq, unsigned>(m_axioms_head));
|
||||
}
|
||||
|
||||
void theory_seq::pop_scope_eh(unsigned num_scopes) {
|
||||
m_trail_stack.pop_scope(num_scopes);
|
||||
theory::pop_scope_eh(num_scopes);
|
||||
}
|
||||
|
||||
void theory_seq::restart_eh() {
|
||||
|
||||
}
|
||||
|
||||
void theory_seq::relevant_eh(app* n) {
|
||||
ast_manager& m = get_manager();
|
||||
if (m_util.str.is_length(n)) {
|
||||
expr_ref e(m);
|
||||
e = m_autil.mk_le(m_autil.mk_numeral(rational(0), true), n);
|
||||
create_axiom(e);
|
||||
}
|
||||
}
|
||||
91
src/smt/theory_seq.h
Normal file
91
src/smt/theory_seq.h
Normal file
|
|
@ -0,0 +1,91 @@
|
|||
/*++
|
||||
Copyright (c) 2011 Microsoft Corporation
|
||||
|
||||
Module Name:
|
||||
|
||||
theory_seq.h
|
||||
|
||||
Abstract:
|
||||
|
||||
Native theory solver for sequences.
|
||||
|
||||
Author:
|
||||
|
||||
Nikolaj Bjorner (nbjorner) 2015-6-12
|
||||
|
||||
Revision History:
|
||||
|
||||
--*/
|
||||
#ifndef THEORY_SEQ_H_
|
||||
#define THEORY_SEQ_H_
|
||||
|
||||
#include "smt_theory.h"
|
||||
#include "seq_decl_plugin.h"
|
||||
#include "theory_seq_empty.h"
|
||||
#include "th_rewriter.h"
|
||||
#include "union_find.h"
|
||||
|
||||
namespace smt {
|
||||
|
||||
class theory_seq : public theory {
|
||||
typedef union_find<theory_seq> th_union_find;
|
||||
typedef trail_stack<theory_seq> th_trail_stack;
|
||||
struct stats {
|
||||
stats() { reset(); }
|
||||
void reset() { memset(this, 0, sizeof(stats)); }
|
||||
unsigned m_num_splits;
|
||||
};
|
||||
expr_ref_vector m_axioms;
|
||||
expr_ref_vector m_ineqs;
|
||||
unsigned m_axioms_head;
|
||||
bool m_used;
|
||||
th_rewriter m_rewrite;
|
||||
seq_util m_util;
|
||||
arith_util m_autil;
|
||||
th_trail_stack m_trail_stack;
|
||||
th_union_find m_find;
|
||||
stats m_stats;
|
||||
|
||||
virtual final_check_status final_check_eh();
|
||||
virtual bool internalize_atom(app*, bool);
|
||||
virtual bool internalize_term(app*);
|
||||
virtual void new_eq_eh(theory_var, theory_var);
|
||||
virtual void new_diseq_eh(theory_var, theory_var);
|
||||
virtual void assign_eq(bool_var v, bool is_true);
|
||||
virtual bool can_propagate();
|
||||
virtual void propagate();
|
||||
virtual void push_scope_eh();
|
||||
virtual void pop_scope_eh(unsigned num_scopes);
|
||||
virtual void restart_eh();
|
||||
virtual void relevant_eh(app* n);
|
||||
virtual theory* mk_fresh(context* new_ctx) { return alloc(theory_seq, new_ctx->get_manager()); }
|
||||
virtual char const * get_name() const { return "seq"; }
|
||||
virtual theory_var mk_var(enode* n);
|
||||
|
||||
final_check_status check_ineqs();
|
||||
final_check_status simplify_eqs();
|
||||
final_check_status add_axioms();
|
||||
|
||||
void assert_axiom(expr_ref& e);
|
||||
void create_axiom(expr_ref& e);
|
||||
expr_ref canonize(expr* e, enode_pair_vector& eqs);
|
||||
expr_ref expand(expr* e, enode_pair_vector& eqs);
|
||||
|
||||
void propagate_eq(bool_var v, expr* e1, expr* e2);
|
||||
expr_ref mk_skolem(char const* name, expr* e1, expr* e2);
|
||||
public:
|
||||
theory_seq(ast_manager& m);
|
||||
virtual void init_model(model_generator & mg) {
|
||||
mg.register_factory(alloc(seq_factory, get_manager(), get_family_id(), mg.get_model()));
|
||||
}
|
||||
|
||||
th_trail_stack & get_trail_stack() { return m_trail_stack; }
|
||||
virtual void merge_eh(theory_var v1, theory_var v2, theory_var, theory_var);
|
||||
static void after_merge_eh(theory_var r1, theory_var r2, theory_var v1, theory_var v2) {}
|
||||
void unmerge_eh(theory_var v1, theory_var v2);
|
||||
|
||||
};
|
||||
};
|
||||
|
||||
#endif /* THEORY_SEQ_H_ */
|
||||
|
||||
Loading…
Add table
Add a link
Reference in a new issue