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z3/lib/dl_context.cpp
Leonardo de Moura e9eab22e5c Z3 sources
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2012-10-02 11:35:25 -07:00

1686 lines
59 KiB
C++

/*++
Copyright (c) 2006 Microsoft Corporation
Module Name:
dl_context.cpp
Abstract:
<abstract>
Author:
Leonardo de Moura (leonardo) 2010-05-18.
Revision History:
--*/
#include<sstream>
#include<limits>
#include"arith_simplifier_plugin.h"
#include"basic_simplifier_plugin.h"
#include"arith_decl_plugin.h"
#include"bv_decl_plugin.h"
#include"dl_table.h"
#include"dl_sparse_table.h"
#include"dl_table_relation.h"
#include"dl_bound_relation.h"
#include"dl_interval_relation.h"
#include"dl_finite_product_relation.h"
#include"dl_product_relation.h"
#include"dl_rule_transformer.h"
#include"dl_mk_coi_filter.h"
#include"dl_mk_explanations.h"
#include"dl_mk_filter_rules.h"
#include"dl_mk_interp_tail_simplifier.h"
#include"dl_mk_magic_sets.h"
#include"dl_mk_rule_inliner.h"
#include"dl_mk_simple_joins.h"
#include"dl_mk_similarity_compressor.h"
#include"dl_mk_unbound_compressor.h"
#include"dl_mk_subsumption_checker.h"
#include"dl_compiler.h"
#include"dl_instruction.h"
#include"dl_context.h"
#include"dl_simplifier_plugin.h"
#include"dl_smt_relation.h"
#ifndef _EXTERNAL_RELEASE
#include"dl_skip_table.h"
#endif
#include"for_each_expr.h"
#include"ast_smt2_pp.h"
#include"expr_functors.h"
#include"dl_mk_partial_equiv.h"
#include"dl_mk_bit_blast.h"
namespace datalog {
// -----------------------------------
//
// context::sort_domain
//
// -----------------------------------
class context::sort_domain {
private:
sort_kind m_kind;
protected:
sort_ref m_sort;
bool m_limited_size;
uint64 m_size;
sort_domain(sort_kind k, context & ctx, sort * s)
: m_kind(k), m_sort(s, ctx.get_manager()) {
m_limited_size = ctx.get_decl_util().try_get_size(s, m_size);
}
public:
virtual ~sort_domain() {}
sort_kind get_kind() const { return m_kind; }
virtual unsigned get_constant_count() const = 0;
virtual void print_element(finite_element el_num, std::ostream & out) = 0;
};
class context::symbol_sort_domain : public sort_domain {
typedef map<symbol, finite_element, symbol_hash_proc, symbol_eq_proc> sym2num;
typedef svector<symbol> num2sym;
sym2num m_el_numbers;
num2sym m_el_names;
public:
symbol_sort_domain(context & ctx, sort * s) : sort_domain(SK_SYMBOL, ctx, s) {}
finite_element get_number(symbol sym) {
//we number symbols starting from zero, so table->size() is equal to the
//index of the symbol to be added next
unsigned newIdx = m_el_numbers.size();
sym2num::entry* sym_e = m_el_numbers.insert_if_not_there2(sym, newIdx);
unsigned idx=sym_e->get_data().m_value;
if (idx==newIdx) {
m_el_names.push_back(sym);
SASSERT(m_el_names.size()==m_el_numbers.size());
}
if (m_limited_size && idx>=m_size) {
std::stringstream sstm;
sstm << "sort " << m_sort->get_name() << " contains more constants than its declared size " << m_size;
throw default_exception(sstm.str());
}
return idx;
}
virtual unsigned get_constant_count() const {
return m_el_names.size();
}
virtual void print_element(finite_element el_num, std::ostream & out) {
if (el_num>=m_el_names.size()) {
out << el_num;
return;
}
out << m_el_names[el_num];
}
};
class context::uint64_sort_domain : public sort_domain {
typedef map<uint64, finite_element, uint64_hash, default_eq<uint64> > el2num;
typedef svector<uint64> num2el;
el2num m_el_numbers;
num2el m_el_names;
public:
uint64_sort_domain(context & ctx, sort * s) : sort_domain(SK_UINT64, ctx, s) {}
finite_element get_number(uint64 el) {
//we number symbols starting from zero, so table->size() is equal to the
//index of the symbol to be added next
unsigned newIdx = m_el_numbers.size();
el2num::entry* sym_e = m_el_numbers.insert_if_not_there2(el, newIdx);
unsigned idx=sym_e->get_data().m_value;
if (idx==newIdx) {
m_el_names.push_back(el);
SASSERT(m_el_names.size()==m_el_numbers.size());
}
if (m_limited_size && idx>=m_size) {
std::stringstream sstm;
sstm << "sort " << m_sort->get_name() << " contains more constants than its declared size " << m_size;
throw default_exception(sstm.str());
}
return idx;
}
virtual unsigned get_constant_count() const {
return m_el_names.size();
}
virtual void print_element(finite_element el_num, std::ostream & out) {
if (el_num >= m_el_names.size()) {
out << "<unk " << m_sort->get_name() << ":" << el_num << '>';
return;
}
out << m_el_names[el_num];
}
};
// -----------------------------------
//
// trail stack for restoring rules
//
// -----------------------------------
class context::restore_rules : public trail<context> {
rule_set* m_old_rules;
void reset() {
dealloc(m_old_rules);
m_old_rules = 0;
}
public:
restore_rules(rule_set& r): m_old_rules(alloc(rule_set, r)) {}
virtual ~restore_rules() {}
virtual void undo(context& ctx) {
ctx.reset_tables();
ctx.replace_rules(*m_old_rules);
reset();
}
};
template<typename Ctx, typename Vec>
class restore_vec_size_trail : public trail<Ctx> {
Vec& m_vector;
unsigned m_old_size;
public:
restore_vec_size_trail(Vec& v): m_vector(v), m_old_size(v.size()) {}
virtual ~restore_vec_size_trail() {}
virtual void undo(Ctx& ctx) { m_vector.shrink(m_old_size); }
};
void context::push() {
m_trail.push_scope();
m_trail.push(restore_rules(m_rule_set));
m_trail.push(restore_vec_size_trail<context,expr_ref_vector>(m_background));
m_trail.push(restore_vec_size_trail<context,fact_vector>(m_table_facts));
}
void context::pop() {
if (m_trail.get_num_scopes() == 0) {
throw default_exception("there are no backtracking points to pop to");
}
m_trail.pop_scope(1);
}
// -----------------------------------
//
// context
//
// -----------------------------------
context::context(ast_manager & m, front_end_params& fp, params_ref const& pa):
m(m),
m_fparams(fp),
m_params(pa),
m_decl_util(m),
m_rewriter(m),
m_var_subst(m),
m_rmanager(*this),
m_rule_manager(*this),
m_trail(*this),
m_pinned(m),
m_vars(m),
m_rule_set(*this),
m_background(m),
m_closed(false),
m_saturation_was_run(false),
m_last_result_relation(0),
m_last_answer(m),
m_engine(LAST_ENGINE),
m_cancel(false) {
//register plugins for builtin tables
get_rmanager().register_plugin(alloc(sparse_table_plugin, get_rmanager()));
get_rmanager().register_plugin(alloc(hashtable_table_plugin, get_rmanager()));
get_rmanager().register_plugin(alloc(bitvector_table_plugin, get_rmanager()));
get_rmanager().register_plugin(alloc(equivalence_table_plugin, get_rmanager()));
#ifndef _EXTERNAL_RELEASE
get_rmanager().register_plugin(alloc(skip_table_plugin, get_rmanager()));
#endif
//register plugins for builtin relations
get_rmanager().register_plugin(alloc(smt_relation_plugin, get_rmanager()));
get_rmanager().register_plugin(alloc(bound_relation_plugin, get_rmanager()));
get_rmanager().register_plugin(alloc(interval_relation_plugin, get_rmanager()));
}
context::~context() {
reset();
}
void context::reset() {
m_trail.reset();
m_rule_set.reset();
m_argument_var_names.reset();
m_output_preds.reset();
m_preds.reset();
m_preds_by_name.reset();
reset_dealloc_values(m_sorts);
if (m_last_result_relation) {
m_last_result_relation->deallocate();
m_last_result_relation = 0;
}
}
bool context::is_fact(app * head) const {
return m_rule_manager.is_fact(head);
}
bool context::has_sort_domain(relation_sort s) const {
return m_sorts.contains(s);
}
context::sort_domain & context::get_sort_domain(relation_sort s) {
sort_domain * dom;
TRUSTME( m_sorts.find(s, dom) );
return *dom;
}
const context::sort_domain & context::get_sort_domain(relation_sort s) const {
sort_domain * dom;
TRUSTME( m_sorts.find(s, dom) );
return *dom;
}
void context::register_finite_sort(sort * s, sort_kind k) {
m_pinned.push_back(s);
SASSERT(!m_sorts.contains(s));
sort_domain * dom;
switch (k) {
case SK_SYMBOL:
dom = alloc(symbol_sort_domain, *this, s);
break;
case SK_UINT64:
dom = alloc(uint64_sort_domain, *this, s);
break;
default:
UNREACHABLE();
}
m_sorts.insert(s, dom);
}
bool context::is_predicate(func_decl * pred) const {
return m_preds.contains(pred);
}
func_decl * context::try_get_predicate_decl(symbol pred_name) const {
func_decl * res;
if (!m_preds_by_name.find(pred_name, res)) {
return 0;
}
return res;
}
void context::register_variable(func_decl* var) {
m_vars.push_back(m.mk_const(var));
}
void context::register_predicate(func_decl * decl, bool named) {
SASSERT(!m_preds.contains(decl));
m_pinned.push_back(decl);
m_preds.insert(decl);
if (named) {
SASSERT(!m_preds_by_name.contains(decl->get_name()));
m_preds_by_name.insert(decl->get_name(), decl);
}
}
context::finite_element context::get_constant_number(relation_sort srt, symbol sym) {
sort_domain & dom0 = get_sort_domain(srt);
SASSERT(dom0.get_kind() == SK_SYMBOL);
symbol_sort_domain & dom = static_cast<symbol_sort_domain &>(dom0);
return dom.get_number(sym);
}
context::finite_element context::get_constant_number(relation_sort srt, uint64 el) {
sort_domain & dom0 = get_sort_domain(srt);
SASSERT(dom0.get_kind()==SK_UINT64);
uint64_sort_domain & dom = static_cast<uint64_sort_domain &>(dom0);
return dom.get_number(el);
}
void context::print_constant_name(relation_sort srt, uint64 num, std::ostream & out)
{
if (has_sort_domain(srt)) {
SASSERT(num<=UINT_MAX);
get_sort_domain(srt).print_element(static_cast<unsigned>(num), out);
}
else {
out << num;
}
}
bool context::try_get_sort_constant_count(relation_sort srt, uint64 & constant_count) {
if (!has_sort_domain(srt)) {
return false;
}
constant_count = get_sort_domain(srt).get_constant_count();
return true;
}
uint64 context::get_sort_size_estimate(relation_sort srt) {
if (get_decl_util().is_rule_sort(srt)) {
return 1;
}
uint64 res;
if (!try_get_sort_constant_count(srt, res)) {
sort_size sz = srt->get_num_elements();
if (sz.is_finite()) {
res = sz.size();
}
else {
res = std::numeric_limits<uint64>::max();
}
}
return res;
}
void context::set_argument_names(const func_decl * pred, svector<symbol> var_names)
{
SASSERT(!m_argument_var_names.contains(pred));
m_argument_var_names.insert(pred, var_names);
}
symbol context::get_argument_name(const func_decl * pred, unsigned arg_index)
{
pred2syms::obj_map_entry * e = m_argument_var_names.find_core(pred);
if (!e) {
std::stringstream name_stm;
name_stm << '#' << arg_index;
return symbol(name_stm.str().c_str());
}
SASSERT(arg_index < e->get_data().m_value.size());
return e->get_data().m_value[arg_index];
}
relation_plugin & context::get_ordinary_relation_plugin(symbol relation_name) {
relation_plugin * plugin = get_rmanager().get_relation_plugin(relation_name);
if (!plugin) {
std::stringstream sstm;
sstm << "relation plugin " << relation_name << " does not exist";
throw default_exception(sstm.str());
}
if (plugin->is_product_relation()) {
throw default_exception("cannot request product relation directly");
}
if (plugin->is_sieve_relation()) {
throw default_exception("cannot request sieve relation directly");
}
if (plugin->is_finite_product_relation()) {
throw default_exception("cannot request finite product relation directly");
}
return *plugin;
}
void context::set_predicate_representation(func_decl * pred, unsigned relation_name_cnt,
symbol * const relation_names) {
relation_manager & rmgr = get_rmanager();
family_id target_kind = null_family_id;
if (relation_name_cnt==1) {
target_kind = get_ordinary_relation_plugin(relation_names[0]).get_kind();
} else {
relation_plugin * tr_plugin = 0; //table plugin, if there is such
ptr_vector<relation_plugin> rel_plugins; //plugins that are not table plugins
svector<family_id> rel_kinds; //kinds of plugins that are not table plugins
for (unsigned i=0; i<relation_name_cnt; i++) {
relation_plugin & p = get_ordinary_relation_plugin(relation_names[i]);
//commented out, because support combining relations with tables using fpr is not yet implemented
/*if (p.from_table()) {
if (tr_plugin) {
//it does not give any extra benefit to have an intersection of two tables.
//Maybe when we can specify which columns belong to which plugin,
//it might be of use.
throw default_exception("two table plugins cannot be specified as relation type");
}
tr_plugin = &p;
}
else {*/
rel_plugins.push_back(&p);
rel_kinds.push_back(p.get_kind());
/*}*/
}
SASSERT(!rel_kinds.empty());
relation_plugin * rel_plugin; //the aggregate kind of non-table plugins
relation_signature rel_sig;
family_id rel_kind; //the aggregate kind of non-table plugins
if (rel_kinds.size()==1) {
rel_kind = rel_kinds[0];
rel_plugin = rel_plugins[0];
}
else {
relation_signature rel_sig;
//rmgr.from_predicate(pred, rel_sig);
product_relation_plugin & prod_plugin = product_relation_plugin::get_plugin(rmgr);
rel_kind = prod_plugin.get_relation_kind(rel_sig, rel_kinds);
rel_plugin = &prod_plugin;
}
if (tr_plugin==0) {
target_kind = rel_kind;
}
else {
NOT_IMPLEMENTED_YET();
#if 0
finite_product_relation_plugin & fprp = finite_product_relation_plugin::get_plugin(rmgr, *rel_plugin);
finite_product_relation_plugin::rel_spec spec;
#endif
}
}
SASSERT(target_kind != null_family_id);
get_rmanager().set_predicate_kind(pred, target_kind);
}
func_decl * context::mk_fresh_head_predicate(symbol const & prefix, symbol const & suffix,
unsigned arity, sort * const * domain, func_decl* orig_pred) {
func_decl* new_pred =
m.mk_fresh_func_decl(prefix, suffix, arity, domain, m.mk_bool_sort());
register_predicate(new_pred);
if (orig_pred) {
family_id target_kind = get_rmanager().get_requested_predicate_kind(orig_pred);
if (target_kind != null_family_id) {
get_rmanager().set_predicate_kind(new_pred, target_kind);
}
}
return new_pred;
}
void context::set_output_predicate(func_decl * pred) {
if (!m_output_preds.contains(pred)) {
m_output_preds.insert(pred);
}
}
void context::add_rule(expr* rl, symbol const& name) {
datalog::rule_manager& rm = get_rule_manager();
datalog::rule_ref_vector rules(rm);
rm.mk_rule(rl, rules, name);
add_rules(rules);
}
//
// Update a rule with a new.
// It requires basic subsumption.
//
void context::update_rule(expr* rl, symbol const& name) {
datalog::rule_manager& rm = get_rule_manager();
datalog::rule_ref_vector rules(rm);
rm.mk_rule(rl, rules, name);
if (rules.size() != 1) {
std::stringstream strm;
strm << "Rule " << name << " has a non-trivial body. It cannot be modified";
throw default_exception(strm.str());
}
rule_ref r(rules[0].get(), rm);
get_rmanager().reset_saturated_marks();
rule_ref_vector const& rls = m_rule_set.get_rules();
bool found = false;
rule* old_rule = 0;
for (unsigned i = 0; i < rls.size(); ++i) {
if (rls[i]->name() == name) {
if (old_rule) {
std::stringstream strm;
strm << "Rule " << name << " occurs twice. It cannot be modified";
throw default_exception(strm.str());
}
old_rule = rls[i];
}
}
if (old_rule) {
if (!check_subsumes(*old_rule, *r)) {
std::stringstream strm;
strm << "Old rule ";
old_rule->display(*this, strm);
strm << "does not subsume new rule ";
r->display(*this, strm);
throw default_exception(strm.str());
}
m_rule_set.del_rule(old_rule);
}
m_rule_set.add_rule(r);
}
bool context::check_subsumes(rule const& stronger_rule, rule const& weaker_rule) {
if (stronger_rule.get_head() != weaker_rule.get_head()) {
return false;
}
for (unsigned i = 0; i < stronger_rule.get_tail_size(); ++i) {
app* t = stronger_rule.get_tail(i);
bool found = false;
for (unsigned j = 0; j < weaker_rule.get_tail_size(); ++j) {
app* s = weaker_rule.get_tail(j);
if (s == t) {
found = true;
break;
}
}
if (!found) {
return false;
}
}
return true;
}
unsigned context::get_num_levels(func_decl* pred) {
switch(get_engine()) {
case DATALOG_ENGINE:
throw default_exception("get_num_levels is unsupported for datalog engine");
case PDR_ENGINE:
case QPDR_ENGINE:
ensure_pdr();
return m_pdr->get_num_levels(pred);
case BMC_ENGINE:
throw default_exception("get_num_levels is unsupported for bmc");
default:
throw default_exception("unknown engine");
}
}
expr_ref context::get_cover_delta(int level, func_decl* pred) {
switch(get_engine()) {
case DATALOG_ENGINE:
throw default_exception("operation is unsupported for datalog engine");
case PDR_ENGINE:
case QPDR_ENGINE:
ensure_pdr();
return m_pdr->get_cover_delta(level, pred);
case BMC_ENGINE:
throw default_exception("operation is unsupported for BMC engine");
default:
throw default_exception("unknown engine");
}
}
void context::add_cover(int level, func_decl* pred, expr* property) {
switch(get_engine()) {
case DATALOG_ENGINE:
throw default_exception("operation is unsupported for datalog engine");
case PDR_ENGINE:
case QPDR_ENGINE:
ensure_pdr();
m_pdr->add_cover(level, pred, property);
break;
case BMC_ENGINE:
throw default_exception("operation is unsupported for BMC engine");
default:
throw default_exception("unknown engine");
}
}
void context::check_uninterpreted_free(rule_ref& r) {
func_decl* f = 0;
if (r->has_uninterpreted_non_predicates(f)) {
std::stringstream stm;
stm << "Uninterpreted '"
<< f->get_name()
<< "' in ";
r->display(*this, stm);
throw default_exception(stm.str());
}
}
void context::check_quantifier_free(rule_ref& r) {
if (r->has_quantifiers()) {
std::stringstream stm;
stm << "cannot process quantifiers in rule ";
r->display(*this, stm);
throw default_exception(stm.str());
}
}
class context::contains_pred : public i_expr_pred {
rule_manager const& m;
public:
contains_pred(rule_manager const& m): m(m) {}
virtual ~contains_pred() {}
virtual bool operator()(expr* e) {
return is_app(e) && m.is_predicate(to_app(e));
}
};
void context::check_existential_tail(rule_ref& r) {
unsigned ut_size = r->get_uninterpreted_tail_size();
unsigned t_size = r->get_tail_size();
contains_pred contains_p(get_rule_manager());
check_pred check_pred(contains_p, get_manager());
TRACE("dl", r->display_smt2(get_manager(), tout); tout << "\n";);
for (unsigned i = ut_size; i < t_size; ++i) {
app* t = r->get_tail(i);
TRACE("dl", tout << "checking: " << mk_ismt2_pp(t, get_manager()) << "\n";);
if (check_pred(t)) {
std::ostringstream out;
out << "interpreted body " << mk_ismt2_pp(t, get_manager()) << " contains recursive predicate";
throw default_exception(out.str());
}
}
}
void context::check_positive_predicates(rule_ref& r) {
ast_mark visited;
ptr_vector<expr> todo, tocheck;
unsigned ut_size = r->get_uninterpreted_tail_size();
unsigned t_size = r->get_tail_size();
for (unsigned i = 0; i < ut_size; ++i) {
if (r->is_neg_tail(i)) {
tocheck.push_back(r->get_tail(i));
}
}
ast_manager& m = get_manager();
datalog::rule_manager& rm = get_rule_manager();
contains_pred contains_p(rm);
check_pred check_pred(contains_p, get_manager());
for (unsigned i = ut_size; i < t_size; ++i) {
todo.push_back(r->get_tail(i));
}
while (!todo.empty()) {
expr* e = todo.back(), *e1, *e2;
todo.pop_back();
if (visited.is_marked(e)) {
continue;
}
visited.mark(e, true);
if (rm.is_predicate(e)) {
}
else if (m.is_and(e) || m.is_or(e)) {
todo.append(to_app(e)->get_num_args(), to_app(e)->get_args());
}
else if (m.is_implies(e, e1, e2)) {
tocheck.push_back(e1);
todo.push_back(e2);
}
else if (is_quantifier(e)) {
todo.append(to_quantifier(e)->get_expr());
}
else if ((m.is_eq(e, e1, e2) || m.is_iff(e, e1, e2)) &&
m.is_true(e1)) {
todo.push_back(e2);
}
else if ((m.is_eq(e, e1, e2) || m.is_iff(e, e1, e2)) &&
m.is_true(e2)) {
todo.push_back(e1);
}
else {
tocheck.push_back(e);
}
}
for (unsigned i = 0; i < tocheck.size(); ++i) {
expr* e = tocheck[i];
if (check_pred(e)) {
std::ostringstream out;
out << "recursive predicate " << mk_ismt2_pp(e, get_manager()) << " occurs nested in body";
throw default_exception(out.str());
}
}
}
void context::check_rule(rule_ref& r) {
switch(get_engine()) {
case DATALOG_ENGINE:
check_quantifier_free(r);
check_uninterpreted_free(r);
check_existential_tail(r);
break;
case PDR_ENGINE:
check_existential_tail(r);
check_positive_predicates(r);
break;
case QPDR_ENGINE:
check_positive_predicates(r);
break;
case BMC_ENGINE:
check_existential_tail(r);
check_positive_predicates(r);
break;
}
}
void context::add_rule(rule_ref& r) {
get_rmanager().reset_saturated_marks();
m_rule_set.add_rule(r);
}
void context::add_rules(rule_ref_vector& rules) {
for (unsigned i = 0; i < rules.size(); ++i) {
rule_ref rule(rules[i].get(), rules.get_manager());
add_rule(rule);
}
}
void context::add_fact(func_decl * pred, const relation_fact & fact) {
if (get_engine() == DATALOG_ENGINE) {
get_rmanager().reset_saturated_marks();
get_relation(pred).add_fact(fact);
m_table_facts.push_back(std::make_pair(pred, fact));
}
else {
ast_manager& m = get_manager();
expr_ref rule(m.mk_app(pred, fact.size(), (expr*const*)fact.c_ptr()), m);
add_rule(rule, symbol::null);
}
}
void context::add_fact(app * head) {
SASSERT(is_fact(head));
relation_fact fact(get_manager());
unsigned n=head->get_num_args();
for (unsigned i=0; i<n; i++) {
fact.push_back(to_app(head->get_arg(i)));
}
add_fact(head->get_decl(), fact);
}
bool context::can_add_table_fact(func_decl * pred) {
return get_relation(pred).from_table();
}
void context::add_table_fact(func_decl * pred, const table_fact & fact) {
relation_base & rel0 = get_relation(pred);
if (get_engine() != DATALOG_ENGINE ||
!can_add_table_fact(pred) ||
!rel0.from_table()) {
relation_fact rfact(m);
for (unsigned i = 0; i < fact.size(); ++i) {
rfact.push_back(m_decl_util.mk_numeral(fact[i], pred->get_domain()[i]));
}
add_fact(pred, rfact);
}
else {
get_rmanager().reset_saturated_marks();
table_relation & rel = static_cast<table_relation &>(rel0);
rel.add_table_fact(fact);
}
}
void context::add_table_fact(func_decl * pred, unsigned num_args, unsigned args[]) {
if (pred->get_arity() != num_args) {
std::ostringstream out;
out << "miss-matched number of arguments passed to " << mk_ismt2_pp(pred, m) << " " << num_args << " passed";
throw default_exception(out.str());
}
table_fact fact;
for (unsigned i = 0; i < num_args; ++i) {
fact.push_back(args[i]);
}
add_table_fact(pred, fact);
}
void context::close() {
SASSERT(!m_closed);
if (!m_rule_set.close()) {
throw default_exception("Negation is not stratified!");
}
m_closed = true;
}
void context::ensure_closed() {
if (!m_closed) {
close();
}
}
void context::ensure_opened() {
if (m_closed) {
reopen();
}
}
void context::reopen() {
SASSERT(m_closed);
m_rule_set.reopen();
m_closed = false;
}
void context::transform_rules(model_converter_ref& mc, proof_converter_ref& pc) {
rule_transformer transf(*this);
transf.register_plugin(alloc(mk_filter_rules,*this));
transf.register_plugin(alloc(mk_simple_joins,*this));
if (unbound_compressor()) {
transf.register_plugin(alloc(mk_unbound_compressor,*this));
}
if (similarity_compressor()) {
transf.register_plugin(alloc(mk_similarity_compressor, *this,
similarity_compressor_threshold()));
}
transf.register_plugin(alloc(datalog::mk_partial_equivalence_transformer, *this));
transform_rules(transf, mc, pc);
}
void context::transform_rules(rule_transformer& transf, model_converter_ref& mc, proof_converter_ref& pc) {
SASSERT(m_closed); //we must finish adding rules before we start transforming them
TRACE("dl", display_rules(tout););
if (transf(m_rule_set, mc, pc)) {
//we have already ensured the negation is stratified and transformations
//should not break the stratification
m_rule_set.ensure_closed();
TRACE("dl", display_rules(tout););
TRACE("dl_verbose", display(tout););
}
}
void context::replace_rules(rule_set & rs) {
SASSERT(!m_closed);
m_rule_set.reset();
m_rule_set.add_rules(rs);
}
void context::apply_default_transformation(model_converter_ref& mc, proof_converter_ref& pc) {
ensure_closed();
datalog::rule_transformer transf(*this);
transf.register_plugin(alloc(datalog::mk_coi_filter, *this));
transf.register_plugin(alloc(datalog::mk_interp_tail_simplifier, *this));
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 35005));
transf.register_plugin(alloc(datalog::mk_rule_inliner, *this, 35000));
transf.register_plugin(alloc(datalog::mk_coi_filter, *this, 34990));
transf.register_plugin(alloc(datalog::mk_interp_tail_simplifier, *this, 34980));
//and another round of inlining
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 34975));
transf.register_plugin(alloc(datalog::mk_rule_inliner, *this, 34970));
transf.register_plugin(alloc(datalog::mk_coi_filter, *this, 34960));
transf.register_plugin(alloc(datalog::mk_interp_tail_simplifier, *this, 34950));
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 34940));
transf.register_plugin(alloc(datalog::mk_rule_inliner, *this, 34930));
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 34920));
transf.register_plugin(alloc(datalog::mk_rule_inliner, *this, 34910));
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 34900));
transf.register_plugin(alloc(datalog::mk_rule_inliner, *this, 34890));
transf.register_plugin(alloc(datalog::mk_subsumption_checker, *this, 34880));
transf.register_plugin(alloc(datalog::mk_bit_blast, *this, 35000));
transform_rules(transf, mc, pc);
}
void context::collect_params(param_descrs& p) {
p.insert(":engine", CPK_SYMBOL, "(default: automatically configured) select 'datalog', PDR 'pdr' engine.");
p.insert(":bit-blast", CPK_BOOL, "(default: false) bit-blast bit-vectors (for PDR engine).");
p.insert(":default-table", CPK_SYMBOL, "default table implementation: 'sparse' (default), 'hashtable', 'bitvector', 'interval'");
p.insert(":default-relation", CPK_SYMBOL, "default relation implementation: 'external_relation', 'pentagon'");
p.insert(":generate-explanations", CPK_BOOL, "if true, signature of relations will be extended to contain explanations for facts");
p.insert(":explanations-on-relation-level", CPK_BOOL, "if true, explanations are generated as history of each relation, "
"rather than per fact (:generate-explanations must be set to true for this option to have any effect)");
p.insert(":magic-sets-for-queries", CPK_BOOL, "magic set transformation will be used for queries");
p.insert(":unbound-compressor", CPK_BOOL, "auxiliary relations will be introduced to avoid unbound variables in rule heads");
p.insert(":similarity-compressor", CPK_BOOL, "rules that differ only in values of constants will be merged into a single rule");
p.insert(":similarity-compressor-threshold", CPK_UINT, "if :dl-similiaryt-compressor is on, this value determines how many "
"similar rules there must be in order for them to be merged");
p.insert(":all-or-nothing-deltas", CPK_BOOL, "compile rules so that it is enough for the delta relation in union and widening "
"operations to determine only whether the updated relation was modified or not");
p.insert(":compile-with-widening", CPK_BOOL, "widening will be used to compile recursive rules");
p.insert(":eager-emptiness-checking", CPK_BOOL, "emptiness of affected relations will be checked after each instruction, "
"so that we may ommit unnecessary instructions");
p.insert(":default-table-checked", CPK_BOOL,
"if true, the detault table will be :default-table inside a wrapper that checks that "
"its results are the same as of :default-table-checker table");
p.insert(":initial-restart-timeout", CPK_UINT, "length of saturation run before the first restart (in ms); zero means no restarts");
p.insert(":restart-timeout-quotient", CPK_UINT, "restart timeout will be multiplied by this number after each restart");
p.insert(":use-map-names", CPK_BOOL, "use names from map files when displaying tuples");
p.insert(":output-profile", CPK_BOOL, "determines whether profile informations should be output when outputting Datalog rules or instructions");
p.insert(":output-tuples", CPK_BOOL, "determines whether tuples for output predicates should be output");
p.insert(":profile-timeout-milliseconds", CPK_UINT, "instructions and rules that took less than the threshold will not be printed when printed the instruction/rule list");
PRIVATE_PARAMS(
p.insert(":dbg-fpr-nonempty-relation-signature", CPK_BOOL,
"if true, finite_product_relation will attempt to avoid creating inner relation with empty signature "
"by putting in half of the table columns, if it would have been empty otherwise");
p.insert(":smt-relation-ground-recursive", CPK_BOOL, "Ensure recursive relation is ground in union");
);
p.insert(":fix-unbound-vars", CPK_BOOL, "fix unbound variables in tail");
p.insert(":default-table-checker", CPK_SYMBOL, "see :default-table-checked");
PRIVATE_PARAMS(p.insert(":inline-linear", CPK_BOOL, "try linear inlining method"););
PRIVATE_PARAMS(p.insert(":inline-linear-branch", CPK_BOOL, "try linear inlining method with potential expansion"););
pdr::dl_interface::collect_params(p);
insert_timeout(p);
}
void context::updt_params(params_ref const& p) {
m_params.copy(p);
if (m_pdr.get()) m_pdr->updt_params();
}
void context::collect_predicates(decl_set & res) {
unsigned rule_cnt = m_rule_set.get_num_rules();
for (unsigned rindex=0; rindex<rule_cnt; rindex++) {
rule * r = m_rule_set.get_rule(rindex);
res.insert(r->get_head()->get_decl());
unsigned tail_len = r->get_uninterpreted_tail_size();
for (unsigned tindex=0; tindex<tail_len; tindex++) {
res.insert(r->get_tail(tindex)->get_decl());
}
}
decl_set::iterator oit = m_output_preds.begin();
decl_set::iterator oend = m_output_preds.end();
for (; oit!=oend; ++oit) {
res.insert(*oit);
}
get_rmanager().collect_predicates(res);
}
void context::restrict_predicates( const decl_set & res ) {
set_intersection(m_output_preds, res);
get_rmanager().restrict_predicates(res);
}
lbool context::dl_saturate() {
if (!m_closed) {
close();
}
bool time_limit = soft_timeout()!=0;
unsigned remaining_time_limit = soft_timeout();
unsigned restart_time = initial_restart_timeout();
rule_set original_rules(get_rules());
decl_set original_predicates;
collect_predicates(original_predicates);
instruction_block rules_code;
instruction_block termination_code;
execution_context ex_ctx(*this);
lbool result;
TRACE("dl", display(tout););
while (true) {
model_converter_ref mc; // Ignored in Datalog mode
proof_converter_ref pc; // Ignored in Datalog mode
transform_rules(mc, pc);
compiler::compile(*this, get_rules(), rules_code, termination_code);
TRACE("dl", rules_code.display(*this, tout); );
bool timeout_after_this_round = time_limit && (restart_time==0 || remaining_time_limit<=restart_time);
if (time_limit || restart_time!=0) {
unsigned timeout = time_limit ? (restart_time!=0) ?
std::min(remaining_time_limit, restart_time)
: remaining_time_limit : restart_time;
ex_ctx.set_timelimit(timeout);
}
bool early_termination = !rules_code.perform(ex_ctx);
ex_ctx.reset_timelimit();
VERIFY( termination_code.perform(ex_ctx) );
rules_code.process_all_costs();
IF_VERBOSE(10, ex_ctx.report_big_relations(1000, verbose_stream()););
if (!early_termination) {
m_last_status = OK;
result = l_true;
break;
}
if (memory::above_high_watermark()) {
m_last_status = MEMOUT;
result = l_undef;
break;
}
if (timeout_after_this_round || m_cancel) {
m_last_status = TIMEOUT;
result = l_undef;
break;
}
SASSERT(restart_time!=0);
if (time_limit) {
SASSERT(remaining_time_limit>restart_time);
remaining_time_limit-=restart_time;
}
uint64 new_restart_time = static_cast<uint64>(restart_time)*initial_restart_timeout();
if (new_restart_time>UINT_MAX) {
restart_time=UINT_MAX;
}
else {
restart_time=static_cast<unsigned>(new_restart_time);
}
rules_code.reset();
termination_code.reset();
ex_ctx.reset();
reopen();
restrict_predicates(original_predicates);
replace_rules(original_rules);
close();
}
reopen();
restrict_predicates(original_predicates);
replace_rules(original_rules);
close();
TRACE("dl", ex_ctx.report_big_relations(100, tout););
return result;
}
expr_ref context::get_background_assertion() {
expr_ref result(m);
switch (m_background.size()) {
case 0: result = m.mk_true(); break;
case 1: result = m_background[0].get(); break;
default: result = m.mk_and(m_background.size(), m_background.c_ptr()); break;
}
return result;
}
void context::assert_expr(expr* e) {
TRACE("dl", tout << mk_ismt2_pp(e, m) << "\n";);
m_background.push_back(e);
}
void context::cancel() {
m_cancel = true;
if (m_pdr.get()) m_pdr->cancel();
}
void context::cleanup() {
m_cancel = false;
if (m_pdr.get()) m_pdr->cleanup();
}
class context::engine_type_proc {
ast_manager& m;
arith_util a;
DL_ENGINE m_engine;
public:
engine_type_proc(ast_manager& m): m(m), a(m), m_engine(DATALOG_ENGINE) {}
DL_ENGINE get_engine() const { return m_engine; }
void operator()(expr* e) {
if (is_quantifier(e)) {
m_engine = QPDR_ENGINE;
}
else if (a.is_int_real(e) && m_engine != QPDR_ENGINE) {
m_engine = PDR_ENGINE;
}
else if (is_var(e) && m.is_bool(e)) {
m_engine = PDR_ENGINE;
}
}
};
void context::configure_engine() {
symbol e = m_params.get_sym(":engine", symbol());
if (e == symbol("datalog")) {
m_engine = DATALOG_ENGINE;
}
else if (e == symbol("pdr")) {
m_engine = PDR_ENGINE;
}
else if (e == symbol("qpdr")) {
m_engine = QPDR_ENGINE;
}
else if (e == symbol("bmc")) {
m_engine = BMC_ENGINE;
}
if (m_engine == LAST_ENGINE) {
expr_fast_mark1 mark;
engine_type_proc proc(m);
m_engine = DATALOG_ENGINE;
for (unsigned i = 0; m_engine == DATALOG_ENGINE && i < m_rule_set.get_num_rules(); ++i) {
rule * r = m_rule_set.get_rule(i);
quick_for_each_expr(proc, mark, r->get_head());
for (unsigned j = 0; j < r->get_tail_size(); ++j) {
quick_for_each_expr(proc, mark, r->get_tail(j));
}
m_engine = proc.get_engine();
}
}
}
lbool context::query(expr* query) {
new_query();
rule_set::iterator it = m_rule_set.begin(), end = m_rule_set.end();
rule_ref r(m_rule_manager);
for (; it != end; ++it) {
r = *it;
check_rule(r);
}
switch(get_engine()) {
case DATALOG_ENGINE:
return dl_query(query);
case PDR_ENGINE:
return pdr_query(query);
case QPDR_ENGINE:
return pdr_query(query);
case BMC_ENGINE:
return bmc_query(query);
default:
UNREACHABLE();
return dl_query(query);
}
}
void context::new_query() {
if (m_last_result_relation) {
m_last_result_relation->deallocate();
m_last_result_relation = 0;
}
m_last_status = OK;
m_last_answer = get_manager().mk_true();
}
void context::ensure_pdr() {
if (!m_pdr.get()) {
m_pdr = alloc(pdr::dl_interface, *this);
}
}
lbool context::pdr_query(expr* query) {
ensure_pdr();
lbool result = m_pdr->query(query);
m_last_answer = m_pdr->get_answer();
return result;
}
void context::ensure_bmc() {
if (!m_bmc.get()) {
m_bmc = alloc(bmc, *this);
}
}
lbool context::bmc_query(expr* query) {
ensure_bmc();
lbool result = m_bmc->query(query);
m_last_answer = m_bmc->get_answer();
return result;
}
#define BEGIN_QUERY() \
rule_set original_rules(get_rules()); \
decl_set original_preds; \
collect_predicates(original_preds); \
bool was_closed = m_closed; \
if (m_closed) { \
reopen(); \
} \
#define END_QUERY() \
reopen(); \
replace_rules(original_rules); \
restrict_predicates(original_preds); \
\
if (was_closed) { \
close(); \
} \
lbool context::dl_query(unsigned num_rels, func_decl * const* rels) {
BEGIN_QUERY();
for (unsigned i = 0; i < num_rels; ++i) {
set_output_predicate(rels[i]);
}
close();
reset_negated_tables();
lbool res = dl_saturate();
switch(res) {
case l_true: {
expr_ref_vector ans(m);
expr_ref e(m);
bool some_non_empty = num_rels == 0;
for (unsigned i = 0; i < num_rels; ++i) {
relation_base& rel = get_relation(rels[i]);
if (!rel.empty()) {
some_non_empty = true;
}
rel.to_formula(e);
ans.push_back(e);
}
SASSERT(!m_last_result_relation);
if (some_non_empty) {
m_last_answer = m.mk_and(ans.size(), ans.c_ptr());
}
else {
m_last_answer = m.mk_false();
res = l_false;
}
break;
}
case l_false:
m_last_answer = m.mk_false();
break;
case l_undef:
break;
}
END_QUERY();
return res;
}
lbool context::dl_query(expr* query) {
BEGIN_QUERY();
rule_manager& rm = get_rule_manager();
rule_ref qrule(rm);
rule_ref_vector qrules(rm);
func_decl_ref query_pred(get_manager());
try {
rm.mk_query(query, query_pred, qrules, qrule);
}
catch(default_exception& exn) {
close();
m_last_status = INPUT_ERROR;
throw exn;
}
try {
add_rules(qrules);
}
catch (default_exception& exn) {
close();
m_last_status = INPUT_ERROR;
throw exn;
}
set_output_predicate(qrule->get_head()->get_decl());
close();
reset_negated_tables();
if (generate_explanations()) {
model_converter_ref mc; // ignored in Datalog mode
proof_converter_ref pc; // ignored in Datalog mode
rule_transformer transformer(*this);
//expl_plugin is deallocated when transformer goes out of scope
mk_explanations * expl_plugin =
alloc(mk_explanations, *this, explanations_on_relation_level());
transformer.register_plugin(expl_plugin);
transform_rules(transformer, mc, pc);
//we will retrieve the predicate with explanations instead of the original query predicate
query_pred = expl_plugin->get_e_decl(query_pred);
const rule_vector & query_rules = get_rules().get_predicate_rules(query_pred);
SASSERT(query_rules.size()==1);
qrule = query_rules.back();
}
if (magic_sets_for_queries()) {
model_converter_ref mc; // Ignored in Datalog mode
proof_converter_ref pc; // Ignored in Datalog mode
rule_transformer transformer(*this);
transformer.register_plugin(alloc(mk_magic_sets, *this, qrule.get()));
transform_rules(transformer, mc, pc);
}
lbool res = dl_saturate();
if (res != l_undef) {
m_last_result_relation = get_relation(query_pred).clone();
if (m_last_result_relation->empty()) {
res = l_false;
m_last_answer = m.mk_false();
}
else {
m_last_result_relation->to_formula(m_last_answer);
}
}
END_QUERY();
return res;
}
void context::reset_tables() {
get_rmanager().reset_saturated_marks();
rule_set::decl2rules::iterator it = m_rule_set.begin_grouped_rules();
rule_set::decl2rules::iterator end = m_rule_set.end_grouped_rules();
for (; it != end; ++it) {
func_decl* p = it->m_key;
relation_base & rel = get_relation(p);
rel.reset();
}
for (unsigned i = 0; i < m_table_facts.size(); ++i) {
func_decl* pred = m_table_facts[i].first;
relation_fact const& fact = m_table_facts[i].second;
get_relation(pred).add_fact(fact);
}
}
void context::reset_negated_tables() {
rule_set::pred_set_vector const & pred_sets = m_rule_set.get_strats();
bool non_empty = false;
for (unsigned i = 1; i < pred_sets.size(); ++i) {
func_decl_set::iterator it = pred_sets[i]->begin(), end = pred_sets[i]->end();
for (; it != end; ++it) {
func_decl* pred = *it;
relation_base & rel = get_relation(pred);
if (!rel.empty()) {
non_empty = true;
break;
}
}
}
if (!non_empty) {
return;
}
// collect predicates that depend on negation.
func_decl_set depends_on_negation;
for (unsigned i = 1; i < pred_sets.size(); ++i) {
bool change = true;
while (change) {
change = false;
func_decl_set::iterator it = pred_sets[i]->begin(), end = pred_sets[i]->end();
for (; it != end; ++it) {
func_decl* pred = *it;
if (depends_on_negation.contains(pred)) {
continue;
}
rule_vector const& rules = m_rule_set.get_predicate_rules(pred);
bool inserted = false;
for (unsigned j = 0; !inserted && j < rules.size(); ++j) {
rule* r = rules[j];
unsigned psz = r->get_positive_tail_size();
unsigned tsz = r->get_uninterpreted_tail_size();
if (psz < tsz) {
depends_on_negation.insert(pred);
change = true;
inserted = true;
}
for (unsigned k = 0; !inserted && k < tsz; ++k) {
func_decl* tail_decl = r->get_tail(k)->get_decl();
if (depends_on_negation.contains(tail_decl)) {
depends_on_negation.insert(pred);
change = true;
inserted = true;
}
}
}
}
}
}
func_decl_set::iterator it = depends_on_negation.begin(), end = depends_on_negation.end();
for (; it != end; ++it) {
func_decl* pred = *it;
relation_base & rel = get_relation(pred);
if (!rel.empty()) {
TRACE("dl", tout << "Resetting: " << mk_ismt2_pp(pred, m) << "\n";);
rel.reset();
}
}
}
expr* context::get_answer_as_formula() {
return m_last_answer.get();
}
bool context::display_certificate(std::ostream& out) {
switch(get_engine()) {
case DATALOG_ENGINE:
return false;
case PDR_ENGINE:
m_pdr->display_certificate(out);
return true;
case QPDR_ENGINE:
m_pdr->display_certificate(out);
return true;
case BMC_ENGINE:
m_bmc->display_certificate(out);
return true;
default:
return false;
}
}
void context::collect_statistics(statistics& st) {
switch(get_engine()) {
case DATALOG_ENGINE:
break;
case PDR_ENGINE:
m_pdr->collect_statistics(st);
break;
case QPDR_ENGINE:
m_pdr->collect_statistics(st);
break;
case BMC_ENGINE:
m_bmc->collect_statistics(st);
break;
default:
break;
}
}
execution_result context::get_status() { return m_last_status; }
bool context::result_contains_fact(relation_fact const& f) {
SASSERT(m_last_result_relation);
return m_last_result_relation->contains_fact(f);
}
// TBD: algebraic data-types declarations will not be printed.
class free_func_visitor {
ast_manager& m;
func_decl_set m_funcs;
obj_hashtable<sort> m_sorts;
public:
free_func_visitor(ast_manager& m): m(m) {}
void operator()(var * n) { }
void operator()(app * n) {
m_funcs.insert(n->get_decl());
sort* s = m.get_sort(n);
if (s->get_family_id() == null_family_id) {
m_sorts.insert(s);
}
}
void operator()(quantifier * n) { }
func_decl_set& funcs() { return m_funcs; }
obj_hashtable<sort>& sorts() { return m_sorts; }
};
static void collect_free_funcs(unsigned sz, expr* const* exprs,
expr_mark& visited, free_func_visitor& v,
mk_fresh_name& fresh_names) {
for (unsigned i = 0; i < sz; ++i) {
expr* e = exprs[i];
for_each_expr(v, visited, e);
while (is_quantifier(e)) e = to_quantifier(e)->get_expr();
fresh_names.add(e);
}
}
static func_decl* get_head_relation(ast_manager& m, expr* fml) {
while (is_quantifier(fml)) {
fml = to_quantifier(fml)->get_expr();
}
expr* f1;
while (m.is_implies(fml, f1, fml)) {};
if (is_app(fml)) {
return to_app(fml)->get_decl();
}
else {
return 0;
}
}
void context::display_smt2(
unsigned num_queries,
expr* const* queries,
std::ostream& out) {
ast_manager& m = get_manager();
free_func_visitor visitor(m);
expr_mark visited;
func_decl_set rels;
unsigned num_axioms = m_background.size();
expr* const* axioms = m_background.c_ptr();
expr_ref fml(m);
expr_ref_vector rules(m);
{
rule_set::iterator it = m_rule_set.begin(), end = m_rule_set.end();
for (; it != end; ++it) {
(*it)->to_formula(fml);
rules.push_back(fml);
}
}
smt2_pp_environment_dbg env(m);
pp_params params;
mk_fresh_name fresh_names;
collect_free_funcs(num_axioms, axioms, visited, visitor, fresh_names);
collect_free_funcs(rules.size(), rules.c_ptr(), visited, visitor, fresh_names);
collect_free_funcs(num_queries, queries, visited, visitor, fresh_names);
func_decl_set funcs;
func_decl_set::iterator it = visitor.funcs().begin();
func_decl_set::iterator end = visitor.funcs().end();
for (; it != end; ++it) {
func_decl* f = *it;
if (f->get_family_id() != null_family_id) {
//
}
else if (is_predicate(f)) {
rels.insert(f);
}
else {
funcs.insert(f);
}
}
it = funcs.begin(), end = funcs.end();
obj_hashtable<sort>& sorts = visitor.sorts();
obj_hashtable<sort>::iterator sit = sorts.begin(), send = sorts.end();
for (; sit != send; ++sit) {
ast_smt2_pp(out, *sit, env, params);
}
for (; it != end; ++it) {
func_decl* f = *it;
ast_smt2_pp(out, f, env, params);
out << "\n";
}
it = rels.begin(); end = rels.end();
for (; it != end; ++it) {
func_decl* f = *it;
out << "(declare-rel " << f->get_name() << " (";
for (unsigned i = 0; i < f->get_arity(); ++i) {
ast_smt2_pp(out, f->get_domain(i), env, params);
if (i + 1 < f->get_arity()) {
out << " ";
}
}
out << "))\n";
}
declare_vars(rules, fresh_names, out);
for (unsigned i = 0; i < num_axioms; ++i) {
out << "(assert ";
ast_smt2_pp(out, axioms[i], env, params);
out << ")\n";
}
for (unsigned i = 0; i < rules.size(); ++i) {
out << "(rule ";
ast_smt2_pp(out, rules[i].get(), env, params);
out << ")\n";
}
for (unsigned i = 0; i < num_queries; ++i) {
out << "(query ";
ast_smt2_pp(out, queries[i], env, params);
out << ")\n";
}
}
void context::declare_vars(expr_ref_vector& rules, mk_fresh_name& fresh_names, std::ostream& out) {
//
// replace bound variables in rules by 'var declarations'
// First remove quantifers, then replace bound variables
// by fresh constants.
//
smt2_pp_environment_dbg env(m);
var_subst vsubst(m, false);
pp_params param;
expr_ref_vector fresh_vars(m), subst(m);
expr_ref res(m);
obj_map<sort, unsigned_vector> var_idxs;
obj_map<sort, unsigned> max_vars;
for (unsigned i = 0; i < rules.size(); ++i) {
expr* r = rules[i].get();
if (!is_quantifier(r)) {
continue;
}
quantifier* q = to_quantifier(r);
if (!q->is_forall()) {
continue;
}
if (has_quantifiers(q->get_expr())) {
continue;
}
max_vars.reset();
subst.reset();
unsigned max_var = 0;
unsigned num_vars = q->get_num_decls();
for (unsigned j = 0; j < num_vars; ++j) {
sort* s = q->get_decl_sort(num_vars-1-j);
// maximal var for the given sort.
if (!max_vars.find(s, max_var)) {
max_var = 0;
}
else {
++max_var;
}
max_vars.insert(s, max_var);
// index into fresh variable array.
unsigned fresh_var_idx = 0;
obj_map<sort, unsigned_vector>::obj_map_entry* e = var_idxs.insert_if_not_there2(s, unsigned_vector());
unsigned_vector& vars = e->get_data().m_value;
if (max_var >= vars.size()) {
SASSERT(vars.size() == max_var);
vars.push_back(fresh_vars.size());
symbol name = fresh_names.next();
fresh_vars.push_back(m.mk_const(name, s));
out << "(declare-var " << name << " ";
ast_smt2_pp(out, s, env, param);
out << ")\n";
}
subst.push_back(fresh_vars[vars[max_var]].get());
}
vsubst(q->get_expr(), subst.size(), subst.c_ptr(), res);
rules[i] = res.get();
}
}
};