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https://github.com/Z3Prover/z3
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adding recursion bounds to duality
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672b8e1022
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@ -488,9 +488,10 @@ protected:
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std::vector<Edge *> Incoming;
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Term dual;
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Node *map;
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unsigned recursion_bound;
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Node(const FuncDecl &_Name, const Transformer &_Annotation, const Transformer &_Bound, const Transformer &_Underapprox, const Term &_dual, RPFP *_owner, int _number)
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: Name(_Name), Annotation(_Annotation), Bound(_Bound), Underapprox(_Underapprox), dual(_dual) {owner = _owner; number = _number; Outgoing = 0;}
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: Name(_Name), Annotation(_Annotation), Bound(_Bound), Underapprox(_Underapprox), dual(_dual) {owner = _owner; number = _number; Outgoing = 0; recursion_bound = UINT_MAX;}
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};
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/** Create a node in the graph. The input is a term R(v_1...v_n)
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@ -829,7 +830,7 @@ protected:
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#ifdef _WINDOWS
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__declspec(dllexport)
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#endif
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void FromClauses(const std::vector<Term> &clauses);
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void FromClauses(const std::vector<Term> &clauses, const std::vector<unsigned> *bounds = 0);
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void FromFixpointContext(fixedpoint fp, std::vector<Term> &queries);
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@ -3570,7 +3570,7 @@ namespace Duality {
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#define USE_QE_LITE
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void RPFP::FromClauses(const std::vector<Term> &unskolemized_clauses){
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void RPFP::FromClauses(const std::vector<Term> &unskolemized_clauses, const std::vector<unsigned> *bounds){
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hash_map<func_decl,Node *> pmap;
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func_decl fail_pred = ctx.fresh_func_decl("@Fail", ctx.bool_sort());
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@ -3663,6 +3663,7 @@ namespace Duality {
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pmap[R] = node;
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if (is_query)
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node->Bound = CreateRelation(std::vector<Term>(), ctx.bool_val(false));
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node->recursion_bound = bounds ? 0 : UINT_MAX;
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}
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}
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@ -3728,6 +3729,8 @@ namespace Duality {
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Transformer T = CreateTransformer(Relparams,Indparams,body);
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Edge *edge = CreateEdge(Parent,T,Children);
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edge->labeled = labeled;; // remember for label extraction
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if(bounds)
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Parent->recursion_bound = std::max(Parent->recursion_bound,(*bounds)[i]);
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// edges.push_back(edge);
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}
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@ -33,6 +33,7 @@ Revision History:
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#include <map>
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#include <list>
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#include <iterator>
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#include <sstream>
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// TODO: make these official options or get rid of them
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@ -304,7 +305,7 @@ namespace Duality {
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#ifdef BOUNDED
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struct Counter {
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int val;
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unsigned val;
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Counter(){val = 0;}
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};
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typedef std::map<Node *,Counter> NodeToCounter;
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@ -321,6 +322,10 @@ namespace Duality {
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heuristic = !cex.get_tree() ? (Heuristic *)(new LocalHeuristic(rpfp))
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: (Heuristic *)(new ReplayHeuristic(rpfp,cex));
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#endif
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// determine if we are recursion bounded
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for(unsigned i = 0; i < rpfp->nodes.size(); i++)
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if(rpfp->nodes[i]->recursion_bound < UINT_MAX)
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RecursionBound = 0;
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cex.clear(); // in case we didn't use it for heuristic
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if(unwinding) delete unwinding;
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unwinding = new RPFP(rpfp->ls);
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@ -461,7 +466,7 @@ namespace Duality {
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}
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return false;
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}
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/** Create an instance of a node in the unwinding. Set its
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annotation to true, and mark it unexpanded. */
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Node* CreateNodeInstance(Node *node, int number = 0){
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@ -780,10 +785,8 @@ namespace Duality {
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std::vector<Node *> &insts = insts_of_node[node];
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for(unsigned j = 0; j < insts.size(); j++)
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if(indset->Contains(insts[j]))
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if(NodePastRecursionBound(insts[j])){
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if(NodePastRecursionBound(insts[j],true))
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recursionBounded = true;
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return;
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}
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}
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}
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@ -801,12 +804,18 @@ namespace Duality {
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}
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#ifdef BOUNDED
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bool NodePastRecursionBound(Node *node){
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bool NodePastRecursionBound(Node *node, bool report = false){
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if(RecursionBound < 0) return false;
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NodeToCounter &backs = back_edges[node];
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for(NodeToCounter::iterator it = backs.begin(), en = backs.end(); it != en; ++it){
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if(it->second.val > RecursionBound)
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if(it->second.val > it->first->recursion_bound){
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if(report){
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std::ostringstream os;
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os << "cut off " << it->first->Name.name() << " at depth " << it->second.val;
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reporter->Message(os.str());
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}
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return true;
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}
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}
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return false;
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}
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@ -246,6 +246,7 @@ namespace datalog {
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m_rule_fmls_head = 0;
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m_rule_fmls.reset();
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m_rule_names.reset();
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m_rule_bounds.reset();
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m_argument_var_names.reset();
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m_preds.reset();
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m_preds_by_name.reset();
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@ -474,9 +475,10 @@ namespace datalog {
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return new_pred;
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}
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void context::add_rule(expr* rl, symbol const& name) {
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void context::add_rule(expr* rl, symbol const& name, unsigned bound) {
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m_rule_fmls.push_back(rl);
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m_rule_names.push_back(name);
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m_rule_bounds.push_back(bound);
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}
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void context::flush_add_rules() {
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@ -1102,12 +1104,13 @@ namespace datalog {
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}
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}
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void context::get_raw_rule_formulas(expr_ref_vector& rules, svector<symbol>& names){
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void context::get_raw_rule_formulas(expr_ref_vector& rules, svector<symbol>& names, vector<unsigned> &bounds){
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for (unsigned i = 0; i < m_rule_fmls.size(); ++i) {
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expr_ref r = bind_variables(m_rule_fmls[i].get(), true);
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rules.push_back(r.get());
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// rules.push_back(m_rule_fmls[i].get());
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names.push_back(m_rule_names[i]);
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bounds.push_back(m_rule_bounds[i]);
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}
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}
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@ -1125,6 +1128,7 @@ namespace datalog {
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m_rule_names[i] = m_rule_names.back();
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m_rule_fmls.pop_back();
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m_rule_names.pop_back();
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m_rule_bounds.pop_back();
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--i;
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}
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}
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@ -194,6 +194,7 @@ namespace datalog {
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unsigned m_rule_fmls_head;
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expr_ref_vector m_rule_fmls;
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svector<symbol> m_rule_names;
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vector<unsigned> m_rule_bounds;
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expr_ref_vector m_background;
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model_converter_ref m_mc;
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proof_converter_ref m_pc;
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@ -366,7 +367,7 @@ namespace datalog {
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rule_set & get_rules() { flush_add_rules(); return m_rule_set; }
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void get_rules_as_formulas(expr_ref_vector& fmls, svector<symbol>& names);
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void get_raw_rule_formulas(expr_ref_vector& fmls, svector<symbol>& names);
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void get_raw_rule_formulas(expr_ref_vector& fmls, svector<symbol>& names, vector<unsigned> &bounds);
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void add_fact(app * head);
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void add_fact(func_decl * pred, const relation_fact & fact);
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@ -383,7 +384,7 @@ namespace datalog {
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/**
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Method exposed from API for adding rules.
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*/
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void add_rule(expr* rl, symbol const& name);
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void add_rule(expr* rl, symbol const& name, unsigned bound = UINT_MAX);
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/**
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@ -155,8 +155,9 @@ lbool dl_interface::query(::expr * query) {
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expr_ref_vector rules(m_ctx.get_manager());
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svector< ::symbol> names;
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vector<unsigned> bounds;
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// m_ctx.get_rules_as_formulas(rules, names);
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m_ctx.get_raw_rule_formulas(rules, names);
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m_ctx.get_raw_rule_formulas(rules, names, bounds);
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// get all the rules as clauses
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std::vector<expr> &clauses = _d->clauses;
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@ -200,6 +201,7 @@ lbool dl_interface::query(::expr * query) {
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expr qc = implies(q,_d->ctx.bool_val(false));
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qc = _d->ctx.make_quant(Forall,b_sorts,b_names,qc);
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clauses.push_back(qc);
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bounds.push_back(UINT_MAX);
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// get the background axioms
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unsigned num_asserts = m_ctx.get_num_assertions();
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@ -243,13 +245,21 @@ lbool dl_interface::query(::expr * query) {
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expr c = implies(_d->ctx.bool_val(false),f(args));
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c = _d->ctx.make_quant(Forall,args,c);
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clauses.push_back(c);
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bounds.push_back(UINT_MAX);
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}
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}
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}
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}
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unsigned rb = m_ctx.get_params().recursion_bound();
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std::vector<unsigned> std_bounds;
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for(unsigned i = 0; i < bounds.size(); i++){
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unsigned b = bounds[i];
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if (b == UINT_MAX) b = rb;
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std_bounds.push_back(b);
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}
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// creates 1-1 map between clauses and rpfp edges
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_d->rpfp->FromClauses(clauses);
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_d->rpfp->FromClauses(clauses,&std_bounds);
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// populate the edge-to-clause map
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for(unsigned i = 0; i < _d->rpfp->edges.size(); ++i)
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@ -271,11 +281,12 @@ lbool dl_interface::query(::expr * query) {
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rs->SetOption("stratified_inlining",m_ctx.get_params().stratified_inlining() ? "1" : "0");
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rs->SetOption("batch_expand",m_ctx.get_params().batch_expand() ? "1" : "0");
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rs->SetOption("conjecture_file",m_ctx.get_params().conjecture_file());
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unsigned rb = m_ctx.get_params().recursion_bound();
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#if 0
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if(rb != UINT_MAX){
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std::ostringstream os; os << rb;
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rs->SetOption("recursion_bound", os.str());
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}
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#endif
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// Solve!
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bool ans;
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@ -100,7 +100,7 @@ struct dl_context {
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dlctx().set_predicate_representation(pred, num_kinds, kinds);
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}
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void add_rule(expr * rule, symbol const& name) {
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void add_rule(expr * rule, symbol const& name, unsigned bound) {
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init();
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if (m_collected_cmds) {
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expr_ref rl = m_context->bind_variables(rule, true);
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@ -110,7 +110,7 @@ struct dl_context {
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m_trail.push(push_back_vector<dl_context, svector<symbol> >(m_collected_cmds->m_names));
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}
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else {
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m_context->add_rule(rule, name);
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m_context->add_rule(rule, name, bound);
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}
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}
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@ -151,19 +151,22 @@ class dl_rule_cmd : public cmd {
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mutable unsigned m_arg_idx;
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expr* m_t;
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symbol m_name;
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unsigned m_bound;
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public:
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dl_rule_cmd(dl_context * dl_ctx):
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cmd("rule"),
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m_dl_ctx(dl_ctx),
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m_arg_idx(0),
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m_t(0) {}
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virtual char const * get_usage() const { return "(forall (q) (=> (and body) head)) :optional-name"; }
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m_t(0),
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m_bound(UINT_MAX) {}
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virtual char const * get_usage() const { return "(forall (q) (=> (and body) head)) :optional-name :optional-recursion-bound"; }
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virtual char const * get_descr(cmd_context & ctx) const { return "add a Horn rule."; }
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virtual unsigned get_arity() const { return VAR_ARITY; }
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virtual cmd_arg_kind next_arg_kind(cmd_context & ctx) const {
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switch(m_arg_idx) {
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case 0: return CPK_EXPR;
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case 1: return CPK_SYMBOL;
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case 2: return CPK_UINT;
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default: return CPK_SYMBOL;
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}
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}
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@ -173,13 +176,18 @@ public:
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}
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virtual void set_next_arg(cmd_context & ctx, symbol const & s) {
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m_name = s;
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m_arg_idx++;
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}
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virtual void set_next_arg(cmd_context & ctx, unsigned bound) {
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m_bound = bound;
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m_arg_idx++;
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}
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virtual void reset(cmd_context & ctx) { m_dl_ctx->reset(); prepare(ctx); }
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virtual void prepare(cmd_context& ctx) { m_arg_idx = 0; m_name = symbol::null; }
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virtual void prepare(cmd_context& ctx) { m_arg_idx = 0; m_name = symbol::null; m_bound = UINT_MAX; }
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virtual void finalize(cmd_context & ctx) {
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}
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virtual void execute(cmd_context & ctx) {
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m_dl_ctx->add_rule(m_t, m_name);
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m_dl_ctx->add_rule(m_t, m_name, m_bound);
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}
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};
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