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https://github.com/Z3Prover/z3
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move quantifier hoist routines to quant_hoist
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
b0787024c7
commit
5455704af2
165
src/ast/rewriter/ast_counter.cpp
Normal file
165
src/ast/rewriter/ast_counter.cpp
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@ -0,0 +1,165 @@
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/*++
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Copyright (c) 2013 Microsoft Corporation
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Module Name:
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ast_counter.cpp
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Abstract:
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Routines for counting features of terms, such as free variables.
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Author:
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Nikolaj Bjorner (nbjorner) 2013-03-18.
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Revision History:
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--*/
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#include "ast_counter.h"
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#include "var_subst.h"
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void counter::update(unsigned el, int delta) {
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int & counter = get(el);
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SASSERT(!m_stay_non_negative || counter>=0);
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SASSERT(!m_stay_non_negative || static_cast<int>(counter)>=-delta);
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counter += delta;
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}
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int & counter::get(unsigned el) {
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return m_data.insert_if_not_there2(el, 0)->get_data().m_value;
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}
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counter & counter::count(unsigned sz, const unsigned * els, int delta) {
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for(unsigned i=0; i<sz; i++) {
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update(els[i], delta);
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}
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return *this;
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}
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unsigned counter::get_positive_count() const {
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unsigned cnt = 0;
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iterator eit = begin();
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iterator eend = end();
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for(; eit!=eend; ++eit) {
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if( eit->m_value>0 ) {
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cnt++;
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}
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}
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return cnt;
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}
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void counter::collect_positive(uint_set & acc) const {
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iterator eit = begin();
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iterator eend = end();
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for(; eit!=eend; ++eit) {
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if(eit->m_value>0) { acc.insert(eit->m_key); }
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}
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}
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bool counter::get_max_positive(unsigned & res) const {
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bool found = false;
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iterator eit = begin();
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iterator eend = end();
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for(; eit!=eend; ++eit) {
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if( eit->m_value>0 && (!found || eit->m_key>res) ) {
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found = true;
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res = eit->m_key;
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}
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}
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return found;
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}
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unsigned counter::get_max_positive() const {
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unsigned max_pos;
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VERIFY(get_max_positive(max_pos));
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return max_pos;
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}
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int counter::get_max_counter_value() const {
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int res = 0;
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iterator eit = begin();
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iterator eend = end();
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for (; eit!=eend; ++eit) {
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if( eit->m_value>res ) {
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res = eit->m_value;
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}
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}
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return res;
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}
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void var_counter::count_vars(ast_manager & m, const app * pred, int coef) {
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unsigned n = pred->get_num_args();
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for (unsigned i = 0; i < n; i++) {
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m_sorts.reset();
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::get_free_vars(pred->get_arg(i), m_sorts);
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for (unsigned j = 0; j < m_sorts.size(); ++j) {
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if (m_sorts[j]) {
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update(j, coef);
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}
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}
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}
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}
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unsigned var_counter::get_max_var(bool& has_var) {
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has_var = false;
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unsigned max_var = 0;
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while (!m_todo.empty()) {
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expr* e = m_todo.back();
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unsigned scope = m_scopes.back();
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m_todo.pop_back();
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m_scopes.pop_back();
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if (m_visited.is_marked(e)) {
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continue;
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}
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m_visited.mark(e, true);
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switch(e->get_kind()) {
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case AST_QUANTIFIER: {
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quantifier* q = to_quantifier(e);
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m_todo.push_back(q->get_expr());
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m_scopes.push_back(scope + q->get_num_decls());
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break;
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}
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case AST_VAR: {
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if (to_var(e)->get_idx() >= scope + max_var) {
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has_var = true;
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max_var = to_var(e)->get_idx() - scope;
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}
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break;
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}
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case AST_APP: {
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app* a = to_app(e);
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for (unsigned i = 0; i < a->get_num_args(); ++i) {
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m_todo.push_back(a->get_arg(i));
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m_scopes.push_back(scope);
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}
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break;
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}
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default:
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UNREACHABLE();
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break;
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}
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}
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m_visited.reset();
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return max_var;
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}
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unsigned var_counter::get_max_var(expr* e) {
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bool has_var = false;
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m_todo.push_back(e);
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m_scopes.push_back(0);
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return get_max_var(has_var);
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}
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unsigned var_counter::get_next_var(expr* e) {
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bool has_var = false;
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m_todo.push_back(e);
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m_scopes.push_back(0);
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unsigned mv = get_max_var(has_var);
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if (has_var) mv++;
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return mv;
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}
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107
src/ast/rewriter/ast_counter.h
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107
src/ast/rewriter/ast_counter.h
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/*++
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Copyright (c) 2013 Microsoft Corporation
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Module Name:
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ast_counter.h
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Abstract:
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Routines for counting features of terms, such as free variables.
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Author:
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Nikolaj Bjorner (nbjorner) 2013-03-18.
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Krystof Hoder (t-khoder) 2010-10-10.
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Revision History:
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Hoisted from dl_util.h 2013-03-18.
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--*/
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#ifndef _AST_COUNTER_H_
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#define _AST_COUNTER_H_
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#include "ast.h"
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#include "map.h"
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#include "uint_set.h"
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class counter {
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protected:
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typedef u_map<int> map_impl;
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map_impl m_data;
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const bool m_stay_non_negative;
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public:
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typedef map_impl::iterator iterator;
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counter(bool stay_non_negative = true) : m_stay_non_negative(stay_non_negative) {}
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iterator begin() const { return m_data.begin(); }
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iterator end() const { return m_data.end(); }
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void update(unsigned el, int delta);
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int & get(unsigned el);
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/**
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\brief Increase values of elements in \c els by \c delta.
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The function returns a reference to \c *this to allow for expressions like
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counter().count(sz, arr).get_positive_count()
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*/
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counter & count(unsigned sz, const unsigned * els, int delta = 1);
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counter & count(const unsigned_vector & els, int delta = 1) {
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return count(els.size(), els.c_ptr(), delta);
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}
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void collect_positive(uint_set & acc) const;
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unsigned get_positive_count() const;
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bool get_max_positive(unsigned & res) const;
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unsigned get_max_positive() const;
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/**
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Since the default counter value of a counter is zero, the result is never negative.
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*/
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int get_max_counter_value() const;
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};
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class var_counter : public counter {
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protected:
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ptr_vector<sort> m_sorts;
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expr_fast_mark1 m_visited;
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ptr_vector<expr> m_todo;
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unsigned_vector m_scopes;
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unsigned get_max_var(bool & has_var);
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public:
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var_counter(bool stay_non_negative = true): counter(stay_non_negative) {}
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void count_vars(ast_manager & m, const app * t, int coef = 1);
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unsigned get_max_var(expr* e);
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unsigned get_next_var(expr* e);
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};
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class ast_counter {
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typedef obj_map<ast, int> map_impl;
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map_impl m_data;
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bool m_stay_non_negative;
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public:
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typedef map_impl::iterator iterator;
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ast_counter(bool stay_non_negative = true) : m_stay_non_negative(stay_non_negative) {}
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iterator begin() const { return m_data.begin(); }
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iterator end() const { return m_data.end(); }
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int & get(ast * el) {
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return m_data.insert_if_not_there2(el, 0)->get_data().m_value;
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}
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void update(ast * el, int delta){
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get(el) += delta;
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SASSERT(!m_stay_non_negative || get(el) >= 0);
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}
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void inc(ast * el) { update(el, 1); }
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void dec(ast * el) { update(el, -1); }
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};
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#endif
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#include "bool_rewriter.h"
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#include "var_subst.h"
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#include "ast_pp.h"
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#include "ast_counter.h"
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#include "expr_safe_replace.h"
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//
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// Bring quantifiers of common type into prenex form.
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void operator()(expr* fml, app_ref_vector& vars, bool& is_fa, expr_ref& result) {
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quantifier_type qt = Q_none_pos;
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pull_quantifiers(fml, qt, vars, result);
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pull_quantifier(fml, qt, vars, result);
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TRACE("qe_verbose",
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tout << mk_pp(fml, m) << "\n";
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tout << mk_pp(result, m) << "\n";);
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void pull_exists(expr* fml, app_ref_vector& vars, expr_ref& result) {
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quantifier_type qt = Q_exists_pos;
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pull_quantifiers(fml, qt, vars, result);
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pull_quantifier(fml, qt, vars, result);
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TRACE("qe_verbose",
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tout << mk_pp(fml, m) << "\n";
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tout << mk_pp(result, m) << "\n";);
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void pull_quantifier(bool is_forall, expr_ref& fml, app_ref_vector& vars) {
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quantifier_type qt = is_forall?Q_forall_pos:Q_exists_pos;
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expr_ref result(m);
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pull_quantifiers(fml, qt, vars, result);
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pull_quantifier(fml, qt, vars, result);
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TRACE("qe_verbose",
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tout << mk_pp(fml, m) << "\n";
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tout << mk_pp(result, m) << "\n";);
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expr * const * exprs = (expr* const*) (vars.c_ptr() + vars.size()- nd);
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instantiate(m, q, exprs, result);
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}
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unsigned pull_quantifier(bool is_forall, expr_ref& fml, svector<symbol>* names) {
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unsigned index = var_counter().get_next_var(fml);
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while (is_quantifier(fml) && (is_forall == to_quantifier(fml)->is_forall())) {
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quantifier* q = to_quantifier(fml);
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index += q->get_num_decls();
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if (names) {
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names->append(q->get_num_decls(), q->get_decl_names());
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}
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fml = q->get_expr();
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}
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if (!has_quantifiers(fml)) {
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return index;
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}
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app_ref_vector vars(m);
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pull_quantifier(is_forall, fml, vars);
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if (vars.empty()) {
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return index;
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}
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// replace vars by de-bruijn indices
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expr_safe_replace rep(m);
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for (unsigned i = 0; i < vars.size(); ++i) {
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app* v = vars[i].get();
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if (names) {
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names->push_back(v->get_decl()->get_name());
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}
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rep.insert(v, m.mk_var(index++,m.get_sort(v)));
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}
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rep(fml);
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return index;
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}
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private:
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}
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void pull_quantifiers(expr* fml, quantifier_type& qt, app_ref_vector& vars, expr_ref& result) {
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void pull_quantifier(expr* fml, quantifier_type& qt, app_ref_vector& vars, expr_ref& result) {
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if (!has_quantifiers(fml)) {
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result = fml;
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if (m.is_and(fml)) {
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num_args = a->get_num_args();
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for (unsigned i = 0; i < num_args; ++i) {
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pull_quantifiers(a->get_arg(i), qt, vars, tmp);
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pull_quantifier(a->get_arg(i), qt, vars, tmp);
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args.push_back(tmp);
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}
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m_rewriter.mk_and(args.size(), args.c_ptr(), result);
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else if (m.is_or(fml)) {
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num_args = to_app(fml)->get_num_args();
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for (unsigned i = 0; i < num_args; ++i) {
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pull_quantifiers(to_app(fml)->get_arg(i), qt, vars, tmp);
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pull_quantifier(to_app(fml)->get_arg(i), qt, vars, tmp);
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args.push_back(tmp);
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}
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m_rewriter.mk_or(args.size(), args.c_ptr(), result);
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}
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else if (m.is_not(fml)) {
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pull_quantifiers(to_app(fml)->get_arg(0), negate(qt), vars, tmp);
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pull_quantifier(to_app(fml)->get_arg(0), negate(qt), vars, tmp);
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negate(qt);
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result = m.mk_not(tmp);
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}
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else if (m.is_implies(fml)) {
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pull_quantifiers(to_app(fml)->get_arg(0), negate(qt), vars, tmp);
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pull_quantifier(to_app(fml)->get_arg(0), negate(qt), vars, tmp);
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negate(qt);
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pull_quantifiers(to_app(fml)->get_arg(1), qt, vars, result);
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pull_quantifier(to_app(fml)->get_arg(1), qt, vars, result);
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result = m.mk_implies(tmp, result);
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}
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else if (m.is_ite(fml)) {
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pull_quantifiers(to_app(fml)->get_arg(1), qt, vars, tmp);
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pull_quantifiers(to_app(fml)->get_arg(2), qt, vars, result);
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pull_quantifier(to_app(fml)->get_arg(1), qt, vars, tmp);
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pull_quantifier(to_app(fml)->get_arg(2), qt, vars, result);
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result = m.mk_ite(to_app(fml)->get_arg(0), tmp, result);
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}
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else {
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@ -203,7 +234,7 @@ private:
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}
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set_quantifier_type(qt, q->is_forall());
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extract_quantifier(q, vars, tmp);
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pull_quantifiers(tmp, qt, vars, result);
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pull_quantifier(tmp, qt, vars, result);
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break;
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}
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case AST_VAR:
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break;
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}
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}
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};
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quantifier_hoister::quantifier_hoister(ast_manager& m) {
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@ -237,3 +270,6 @@ void quantifier_hoister::pull_quantifier(bool is_forall, expr_ref& fml, app_ref_
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m_impl->pull_quantifier(is_forall, fml, vars);
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}
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unsigned quantifier_hoister::pull_quantifier(bool is_forall, expr_ref& fml, svector<symbol>* names) {
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return m_impl->pull_quantifier(is_forall, fml, names);
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}
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@ -59,6 +59,14 @@ public:
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The list of variables is empty if there are no top-level universal/existential quantifier.
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*/
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void pull_quantifier(bool is_forall, expr_ref& fml, app_ref_vector& vars);
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/**
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\brief Pull top-most universal (is_forall true) or existential (is_forall=false) quantifier up.
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Return an expression with de-Bruijn indices and the list of names that were used.
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Return index of maximal variable.
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*/
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unsigned pull_quantifier(bool is_forall, expr_ref& fml, svector<symbol>* names);
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};
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#endif
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@ -107,41 +107,6 @@ namespace datalog {
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mk_rule_core(fml1, rules, name);
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}
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//
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// Hoist quantifier from rule (universal) or query (existential)
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//
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unsigned rule_manager::hoist_quantifier(bool is_forall, expr_ref& fml, svector<symbol>* names) {
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unsigned index = var_counter().get_next_var(fml);
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while (is_quantifier(fml) && (is_forall == to_quantifier(fml)->is_forall())) {
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quantifier* q = to_quantifier(fml);
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index += q->get_num_decls();
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if (names) {
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names->append(q->get_num_decls(), q->get_decl_names());
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}
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fml = q->get_expr();
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}
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if (!has_quantifiers(fml)) {
|
||||
return index;
|
||||
}
|
||||
app_ref_vector vars(m);
|
||||
quantifier_hoister qh(m);
|
||||
qh.pull_quantifier(is_forall, fml, vars);
|
||||
if (vars.empty()) {
|
||||
return index;
|
||||
}
|
||||
// replace vars by de-bruijn indices
|
||||
expr_safe_replace rep(m);
|
||||
for (unsigned i = 0; i < vars.size(); ++i) {
|
||||
app* v = vars[i].get();
|
||||
if (names) {
|
||||
names->push_back(v->get_decl()->get_name());
|
||||
}
|
||||
rep.insert(v, m.mk_var(index++,m.get_sort(v)));
|
||||
}
|
||||
rep(fml);
|
||||
return index;
|
||||
}
|
||||
|
||||
void rule_manager::mk_rule_core(expr* _fml, rule_ref_vector& rules, symbol const& name) {
|
||||
app_ref_vector body(m);
|
||||
|
@ -149,7 +114,8 @@ namespace datalog {
|
|||
expr_ref e(m), fml(_fml, m);
|
||||
svector<bool> is_negated;
|
||||
TRACE("dl_rule", tout << mk_pp(fml, m) << "\n";);
|
||||
unsigned index = hoist_quantifier(true, fml, 0);
|
||||
quantifier_hoister qh(m);
|
||||
unsigned index = qh.pull_quantifier(true, fml, 0);
|
||||
check_app(fml);
|
||||
head = to_app(fml);
|
||||
|
||||
|
@ -225,7 +191,8 @@ namespace datalog {
|
|||
// Add implicit variables.
|
||||
// Remove existential prefix.
|
||||
bind_variables(query, false, q);
|
||||
hoist_quantifier(false, q, &names);
|
||||
quantifier_hoister qh(m);
|
||||
qh.pull_quantifier(false, q, &names);
|
||||
// retrieve free variables.
|
||||
get_free_vars(q, vars);
|
||||
if (vars.contains(static_cast<sort*>(0))) {
|
||||
|
@ -1115,3 +1082,4 @@ namespace datalog {
|
|||
|
||||
|
||||
};
|
||||
|
||||
|
|
|
@ -81,8 +81,6 @@ namespace datalog {
|
|||
|
||||
void mk_rule_core(expr* fml, rule_ref_vector& rules, symbol const& name);
|
||||
|
||||
unsigned hoist_quantifier(bool is_forall, expr_ref& fml, svector<symbol>* names);
|
||||
|
||||
/**
|
||||
\brief Perform cheap quantifier elimination to reduce the number of variables in the interpreted tail.
|
||||
*/
|
||||
|
|
Loading…
Reference in a new issue