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merging interpolation and duality changes into unstable

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This commit is contained in:
Ken McMillan 2014-02-19 15:36:16 -08:00
commit 75bb495585
9 changed files with 420 additions and 82 deletions
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118
src/interp/iz3translate.cpp
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@ -188,6 +188,15 @@ public:
get_Z3_lits(con, lits);
iproof->make_axiom(lits);
}
#ifdef LOCALIZATION_KLUDGE
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);
}
#endif
else {
unsigned nprems = num_prems(proof);
for(unsigned i = 0; i < nprems; i++){
@ -1271,6 +1280,84 @@ 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));
@ -1309,7 +1396,7 @@ 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));
@ -1452,9 +1539,11 @@ 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);
@ -1465,12 +1554,20 @@ public:
if(dk == PR_MODUS_PONENS && expect_clause && op(con) == Or)
std::cout << "foo!\n";
#if 0
if(1 && dk == PR_TRANSITIVITY && pr(prem(proof,1)) == PR_COMMUTATIVITY){
Iproof::node clause = translate_main(prem(proof,0),true);
res = make(commute,clause,conc(prem(proof,0))); // HACK -- we depend on Iproof::node being same as ast.
return res;
}
if(1 && dk == PR_TRANSITIVITY && pr(prem(proof,0)) == PR_COMMUTATIVITY){
Iproof::node clause = translate_main(prem(proof,1),true);
res = make(commute,clause,conc(prem(proof,1))); // HACK -- we depend on Iproof::node being same as ast.
return res;
}
#endif
if(dk == PR_TRANSITIVITY && is_eq_propagate(prem(proof,1))){
try {
res = CombineEqPropagate(proof);
@ -1627,9 +1724,10 @@ 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:
@ -1653,6 +1751,12 @@ public:
res = args[0];
break;
}
case PR_COMMUTATIVITY: {
ast comm_equiv = make(op(con),arg(con,0),arg(con,0));
ast pf = iproof->make_reflexivity(comm_equiv);
res = make(commute,pf,comm_equiv);
break;
}
default:
assert(0 && "translate_main: unsupported proof rule");
throw unsupported();