3
0
Fork 0
mirror of https://github.com/Z3Prover/z3 synced 2025-08-02 01:13:18 +00:00

some interpolation fixes, plus some options to remove features for testing in duality

This commit is contained in:
Ken McMillan 2014-02-09 16:04:02 -08:00
parent f380e31a6b
commit ba193a59b1
9 changed files with 176 additions and 14 deletions

View file

@ -181,6 +181,13 @@ public:
get_Z3_lits(con, lits);
iproof->make_axiom(lits);
}
else if(dk == PR_MODUS_PONENS && pr(prem(proof,0)) == PR_QUANT_INST
&& get_locality_rec(prem(proof,1)) == INT_MAX){
std::vector<ast> lits;
ast con = conc(proof);
get_Z3_lits(con, lits);
iproof->make_axiom(lits);
}
else {
unsigned nprems = num_prems(proof);
for(unsigned i = 0; i < nprems; i++){
@ -1264,6 +1271,84 @@ public:
return make(Plus,args);
}
ast replace_summands_with_fresh_vars(const ast &t, hash_map<ast,ast> &map){
if(op(t) == Plus){
int nargs = num_args(t);
std::vector<ast> args(nargs);
for(int i = 0; i < nargs; i++)
args[i] = replace_summands_with_fresh_vars(arg(t,i),map);
return make(Plus,args);
}
if(op(t) == Times)
return make(Times,arg(t,0),replace_summands_with_fresh_vars(arg(t,1),map));
if(map.find(t) == map.end())
map[t] = mk_fresh_constant("@s",get_type(t));
return map[t];
}
ast painfully_normalize_ineq(const ast &ineq, hash_map<ast,ast> &map){
ast res = normalize_inequality(ineq);
ast lhs = arg(res,0);
lhs = replace_summands_with_fresh_vars(lhs,map);
res = make(op(res),SortSum(lhs),arg(res,1));
return res;
}
Iproof::node painfully_reconstruct_farkas(const std::vector<ast> &prems, const std::vector<Iproof::node> &pfs, const ast &con){
int nprems = prems.size();
std::vector<ast> pcons(nprems),npcons(nprems);
hash_map<ast,ast> pcon_to_pf, npcon_to_pcon, pain_map;
for(int i = 0; i < nprems; i++){
pcons[i] = conc(prems[i]);
npcons[i] = painfully_normalize_ineq(pcons[i],pain_map);
pcon_to_pf[npcons[i]] = pfs[i];
npcon_to_pcon[npcons[i]] = pcons[i];
}
// ast leq = make(Leq,arg(con,0),arg(con,1));
ast ncon = painfully_normalize_ineq(mk_not(con),pain_map);
pcons.push_back(mk_not(con));
npcons.push_back(ncon);
// ast assumps = make(And,pcons);
ast new_proof;
if(is_sat(npcons,new_proof))
throw "Proof error!";
pfrule dk = pr(new_proof);
int nnp = num_prems(new_proof);
std::vector<Iproof::node> my_prems;
std::vector<ast> farkas_coeffs, my_pcons;
if(dk == PR_TH_LEMMA
&& get_theory_lemma_theory(new_proof) == ArithTheory
&& get_theory_lemma_kind(new_proof) == FarkasKind)
get_farkas_coeffs(new_proof,farkas_coeffs);
else if(dk == PR_UNIT_RESOLUTION && nnp == 2){
for(int i = 0; i < nprems; i++)
farkas_coeffs.push_back(make_int(rational(1)));
}
else
throw "cannot reconstruct farkas proof";
for(int i = 0; i < nnp; i++){
ast p = conc(prem(new_proof,i));
p = really_normalize_ineq(p);
if(pcon_to_pf.find(p) != pcon_to_pf.end()){
my_prems.push_back(pcon_to_pf[p]);
my_pcons.push_back(npcon_to_pcon[p]);
}
else if(p == ncon){
my_prems.push_back(iproof->make_hypothesis(mk_not(con)));
my_pcons.push_back(mk_not(con));
}
else
throw "cannot reconstruct farkas proof";
}
Iproof::node res = iproof->make_farkas(mk_false(),my_prems,my_pcons,farkas_coeffs);
return res;
}
ast really_normalize_ineq(const ast &ineq){
ast res = normalize_inequality(ineq);
res = make(op(res),SortSum(arg(res,0)),arg(res,1));
@ -1302,7 +1387,7 @@ public:
farkas_coeffs.push_back(make_int(rational(1)));
}
else
throw "cannot reconstruct farkas proof";
return painfully_reconstruct_farkas(prems,pfs,con);
for(int i = 0; i < nnp; i++){
ast p = conc(prem(new_proof,i));
@ -1445,9 +1530,11 @@ public:
lits.push_back(from_ast(con));
// pattern match some idioms
if(dk == PR_MODUS_PONENS && pr(prem(proof,0)) == PR_QUANT_INST && pr(prem(proof,1)) == PR_REWRITE ) {
res = iproof->make_axiom(lits);
return res;
if(dk == PR_MODUS_PONENS && pr(prem(proof,0)) == PR_QUANT_INST){
if(get_locality_rec(prem(proof,1)) == INT_MAX) {
res = iproof->make_axiom(lits);
return res;
}
}
if(dk == PR_MODUS_PONENS && expect_clause && op(con) == Or){
Iproof::node clause = translate_main(prem(proof,0),true);
@ -1620,9 +1707,10 @@ public:
break;
case ArrayTheory: {// nothing fancy for this
ast store_array;
if(!get_store_array(con,store_array))
throw unsupported();
res = iproof->make_axiom(lits,ast_scope(store_array));
if(get_store_array(con,store_array))
res = iproof->make_axiom(lits,ast_scope(store_array));
else
res = iproof->make_axiom(lits); // for array extensionality axiom
break;
}
default: