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add abstraction and instantiation
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
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206
src/muz_qe/dl_mk_quantifier_abstraction.cpp
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206
src/muz_qe/dl_mk_quantifier_abstraction.cpp
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/*++
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Copyright (c) 2013 Microsoft Corporation
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Module Name:
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dl_mk_quantifier_abstraction.cpp
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Abstract:
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Create quantified Horn clauses from benchmarks with arrays.
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Author:
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Ken McMillan
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Andrey Rybalchenko
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Nikolaj Bjorner (nbjorner) 2013-04-02
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Revision History:
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--*/
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#include "dl_mk_quantifier_abstraction.h"
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#include "dl_context.h"
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namespace datalog {
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mk_quantifier_abstraction::mk_quantifier_abstraction(
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context & ctx, unsigned priority):
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plugin(priority),
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m(ctx.get_manager()),
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m_ctx(ctx),
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a(m),
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m_refs(m) {
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}
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mk_quantifier_abstraction::~mk_quantifier_abstraction() {
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}
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func_decl* mk_quantifier_abstraction::declare_pred(func_decl* old_p) {
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unsigned sz = old_p->get_arity();
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unsigned num_arrays = 0;
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for (unsigned i = 0; i < sz; ++i) {
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if (a.is_array(old_p->get_domain(i))) {
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num_arrays++;
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}
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}
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if (num_arrays == 0) {
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return 0;
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}
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func_decl* new_p = 0;
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if (!m_old2new.find(old_p, new_p)) {
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sort_ref_vector domain(m);
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for (unsigned i = 0; i < sz; ++i) {
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sort* s = old_p->get_domain(i);
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while (a.is_array(s)) {
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unsigned arity = get_array_arity(s);
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for (unsigned j = 0; j < arity; ++j) {
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domain.push_back(get_array_domain(s, j));
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}
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s = get_array_range(s);
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}
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domain.push_back(s);
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}
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SASSERT(old_p->get_range() == m.mk_bool_sort());
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new_p = m.mk_func_decl(old_p->get_name(), domain.size(), domain.c_ptr(), old_p->get_range());
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m_refs.push_back(new_p);
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m_ctx.register_predicate(new_p);
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}
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return new_p;
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}
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app_ref mk_quantifier_abstraction::mk_head(app* p, unsigned idx) {
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func_decl* new_p = declare_pred(p->get_decl());
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if (!new_p) {
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return app_ref(p, m);
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}
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expr_ref_vector args(m);
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expr_ref arg(m);
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unsigned sz = p->get_num_args();
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for (unsigned i = 0; i < sz; ++i) {
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arg = p->get_arg(i);
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sort* s = m.get_sort(arg);
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while (a.is_array(s)) {
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unsigned arity = get_array_arity(s);
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for (unsigned j = 0; j < arity; ++j) {
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args.push_back(m.mk_var(idx++, get_array_domain(s, j)));
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}
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ptr_vector<expr> args2;
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args2.push_back(arg);
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args2.append(arity, args.c_ptr()-arity);
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arg = a.mk_select(args2.size(), args2.c_ptr());
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s = get_array_range(s);
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}
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args.push_back(arg);
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}
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return app_ref(m.mk_app(new_p, args.size(), args.c_ptr()), m);
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}
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app_ref mk_quantifier_abstraction::mk_tail(app* p) {
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func_decl* old_p = p->get_decl();
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func_decl* new_p = declare_pred(old_p);
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if (!new_p) {
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return app_ref(p, m);
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}
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SASSERT(new_p->get_arity() > old_p->get_arity());
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unsigned num_extra_args = new_p->get_arity() - old_p->get_arity();
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var_shifter shift(m);
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expr_ref p_shifted(m);
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shift(p, num_extra_args, p_shifted);
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app* ps = to_app(p_shifted);
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expr_ref_vector args(m);
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app_ref_vector pats(m);
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sort_ref_vector vars(m);
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svector<symbol> names;
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expr_ref arg(m);
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unsigned idx = 0;
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unsigned sz = p->get_num_args();
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for (unsigned i = 0; i < sz; ++i) {
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arg = ps->get_arg(i);
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sort* s = m.get_sort(arg);
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bool is_pattern = false;
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while (a.is_array(s)) {
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is_pattern = true;
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unsigned arity = get_array_arity(s);
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for (unsigned j = 0; j < arity; ++j) {
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vars.push_back(get_array_domain(s, j));
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names.push_back(symbol(idx));
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args.push_back(m.mk_var(idx++, vars.back()));
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}
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ptr_vector<expr> args2;
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args2.push_back(arg);
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args2.append(arity, args.c_ptr()-arity);
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arg = a.mk_select(args2.size(), args2.c_ptr());
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s = get_array_range(s);
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}
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if (is_pattern) {
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pats.push_back(to_app(arg));
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}
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args.push_back(arg);
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}
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expr* pat = 0;
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expr_ref pattern(m);
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pattern = m.mk_pattern(pats.size(), pats.c_ptr());
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pat = pattern.get();
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app_ref result(m);
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symbol qid, skid;
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result = m.mk_app(new_p, args.size(), args.c_ptr());
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result = m.mk_eq(m.mk_forall(vars.size(), vars.c_ptr(), names.c_ptr(), result, 1, qid, skid, 1, &pat), m.mk_true());
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return result;
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}
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rule_set * mk_quantifier_abstraction::operator()(rule_set const & source) {
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if (!m_ctx.get_params().quantify_arrays()) {
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return 0;
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}
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m_refs.reset();
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m_old2new.reset();
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m_new2old.reset();
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rule_manager& rm = source.get_rule_manager();
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rule_set * result = alloc(rule_set, m_ctx);
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unsigned sz = source.get_num_rules();
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rule_ref new_rule(rm);
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app_ref_vector tail(m);
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app_ref head(m);
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svector<bool> neg;
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rule_counter& vc = rm.get_counter();
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for (unsigned i = 0; i < sz; ++i) {
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tail.reset();
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neg.reset();
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rule & r = *source.get_rule(i);
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unsigned cnt = vc.get_max_rule_var(r)+1;
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unsigned utsz = r.get_uninterpreted_tail_size();
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unsigned tsz = r.get_tail_size();
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for (unsigned j = 0; j < utsz; ++j) {
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tail.push_back(mk_tail(r.get_tail(j)));
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neg.push_back(r.is_neg_tail(j));
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}
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for (unsigned j = utsz; j < tsz; ++j) {
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tail.push_back(r.get_tail(j));
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neg.push_back(false);
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}
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head = mk_head(r.get_head(), cnt);
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new_rule = rm.mk(head, tail.size(), tail.c_ptr(), neg.c_ptr(), r.name(), true);
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result->add_rule(new_rule);
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}
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// model converter: TBD.
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// proof converter: TBD.
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if (m_old2new.empty()) {
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dealloc(result);
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result = 0;
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}
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return result;
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}
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};
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