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some interpolation fixes; make duality a bit more persistent in checking interpolant

This commit is contained in:
Ken McMillan 2014-02-14 14:03:54 -08:00
parent 88ff20a0fb
commit cb3dc63e68
3 changed files with 87 additions and 31 deletions

View file

@ -2703,10 +2703,12 @@ namespace Duality {
const std::vector<expr> &theory = ls->get_axioms();
for(unsigned i = 0; i < theory.size(); i++)
s.add(theory[i]);
if(s.check(lits.size(),&lits[0]) != unsat)
throw "should be unsat";
for(int k = 0; k < 100; k++) // keep trying, maybe MBQI will do something!
if(s.check(lits.size(),&lits[0]) == unsat)
goto is_unsat;
throw "should be unsat";
}
is_unsat:
for(unsigned i = 0; i < conjuncts.size(); ){
std::swap(conjuncts[i],conjuncts.back());
std::swap(lits[i],lits.back());

View file

@ -240,6 +240,9 @@ iz3mgr::ast iz3mgr::clone(const ast &t, const std::vector<ast> &_args){
void iz3mgr::show(ast t){
if(t.null()){
std::cout << "(null)" << std::endl;
}
params_ref p;
p.set_bool("flat_assoc",false);
std::cout << mk_pp(t.raw(), m(), p) << std::endl;
@ -875,3 +878,14 @@ iz3mgr::ast iz3mgr::apply_quant(opr quantifier, ast var, ast e){
std::vector<ast> bvs; bvs.push_back(var);
return make_quant(quantifier,bvs,e);
}
#if 0
void iz3mgr::get_bound_substitutes(stl_ext::hash_map<ast,bool> &memo, const ast &e, const ast &var, std::vector<ast> &substs){
std::pair<ast,bool> foo(e,false);
std::pair<hash_map<ast,bool>::iterator,bool> bar = memo.insert(foo);
if(bar.second){
if(op(e) ==
}
}
#endif

View file

@ -572,18 +572,36 @@ class iz3proof_itp_impl : public iz3proof_itp {
return is_ineq(ineq);
}
ast destruct_cond_ineq(const ast &ineq, ast &Aproves, ast &Bproves){
ast res = ineq;
opr o = op(res);
if(o == And){
Aproves = my_and(Aproves,arg(res,0));
res = arg(res,1);
o = op(res);
}
if(o == Implies){
Bproves = my_and(Bproves,arg(res,0));
res = arg(res,1);
}
return res;
}
ast simplify_sum(std::vector<ast> &args){
ast Aproves = mk_true(), Bproves = mk_true();
ast ineq = args[0];
ast ineq = destruct_cond_ineq(args[0],Aproves,Bproves);
if(!is_normal_ineq(ineq)) throw cannot_simplify();
sum_cond_ineq(ineq,args[1],args[2],Aproves,Bproves);
return my_and(Aproves,my_implies(Bproves,ineq));
}
ast simplify_rotate_sum(const ast &pl, const ast &pf){
ast cond = mk_true();
ast Aproves = mk_true(), Bproves = mk_true();
ast ineq = make(Leq,make_int("0"),make_int("0"));
return rotate_sum_rec(pl,pf,cond,ineq);
ineq = rotate_sum_rec(pl,pf,Aproves,Bproves,ineq);
if(is_true(Aproves) && is_true(Bproves))
return ineq;
return my_and(Aproves,my_implies(Bproves,ineq));
}
bool is_rewrite_chain(const ast &chain){
@ -616,7 +634,11 @@ class iz3proof_itp_impl : public iz3proof_itp {
void sum_cond_ineq(ast &ineq, const ast &coeff2, const ast &ineq2, ast &Aproves, ast &Bproves){
opr o = op(ineq2);
if(o == Implies){
if(o == And){
sum_cond_ineq(ineq,coeff2,arg(ineq2,1),Aproves,Bproves);
Aproves = my_and(Aproves,arg(ineq2,0));
}
else if(o == Implies){
sum_cond_ineq(ineq,coeff2,arg(ineq2,1),Aproves,Bproves);
Bproves = my_and(Bproves,arg(ineq2,0));
}
@ -676,26 +698,20 @@ class iz3proof_itp_impl : public iz3proof_itp {
return make(op(ineq),mk_idiv(arg(ineq,0),divisor),mk_idiv(arg(ineq,1),divisor));
}
ast rotate_sum_rec(const ast &pl, const ast &pf, ast &Bproves, ast &ineq){
ast rotate_sum_rec(const ast &pl, const ast &pf, ast &Aproves, ast &Bproves, ast &ineq){
if(pf == pl){
if(sym(ineq) == normal)
return my_implies(Bproves,ineq);
return my_implies(Bproves,simplify_ineq(ineq));
return ineq;
return simplify_ineq(ineq);
}
if(op(pf) == Uninterpreted && sym(pf) == sum){
if(arg(pf,2) == pl){
ast Aproves = mk_true();
sum_cond_ineq(ineq,make_int("1"),arg(pf,0),Aproves,Bproves);
if(!is_true(Aproves))
throw "help!";
ineq = idiv_ineq(ineq,arg(pf,1));
return my_implies(Bproves,ineq);
return ineq;
}
ast Aproves = mk_true();
sum_cond_ineq(ineq,arg(pf,1),arg(pf,2),Aproves,Bproves);
if(!is_true(Aproves))
throw "help!";
return rotate_sum_rec(pl,arg(pf,0),Bproves,ineq);
return rotate_sum_rec(pl,arg(pf,0),Aproves,Bproves,ineq);
}
throw cannot_simplify();
}
@ -751,7 +767,9 @@ class iz3proof_itp_impl : public iz3proof_itp {
ast Bconds = z3_simplify(chain_conditions(LitB,equa));
if(is_true(Bconds) && op(ineqs) != And)
return my_implies(cond,ineqs);
throw cannot_simplify();
if(op(ineqs) != And)
return my_and(Bconds,my_implies(cond,ineqs));
throw "help!";
}
ast add_mixed_eq2ineq(const ast &lhs, const ast &rhs, const ast &equa, const ast &itp){
@ -786,7 +804,7 @@ class iz3proof_itp_impl : public iz3proof_itp {
}
}
}
throw cannot_simplify();
throw "help!";
}
void reverse_modpon(std::vector<ast> &args){
@ -972,7 +990,7 @@ class iz3proof_itp_impl : public iz3proof_itp {
ast simplify_modpon(const std::vector<ast> &args){
ast Aproves = mk_true(), Bproves = mk_true();
ast chain = simplify_modpon_fwd(args,Bproves);
ast Q2 = sep_cond(args[2],Bproves);
ast Q2 = destruct_cond_ineq(args[2],Aproves,Bproves);
ast interp;
if(is_normal_ineq(Q2)){ // inequalities are special
ast nQ2 = rewrite_chain_to_normal_ineq(chain,Aproves,Bproves);
@ -1543,13 +1561,17 @@ class iz3proof_itp_impl : public iz3proof_itp {
ast mm = subst_in_pos(rhs,rewrite_pos(last),rewrite_lhs(last));
ast res = get_right_movers(rest,mm,tail,mid);
tail = chain_cons(tail,last);
return chain;
return res;
}
// split a rewrite chain into head and tail at first non-mixed term
ast get_left_movers(const ast &chain, const ast &lhs, ast &tail, ast &mid){
if(is_true(chain)){
mid = lhs;
mid = lhs;
if(get_term_type(lhs) != LitMixed){
tail = mk_true();
return chain;
}
return ast();
}
ast last = chain_last(chain);
@ -1770,11 +1792,13 @@ class iz3proof_itp_impl : public iz3proof_itp {
}
ast fix_normal(const ast &lhs, const ast &rhs, const ast &proof){
LitType lhst = get_term_type(lhs);
LitType rhst = get_term_type(rhs);
if(rhst != LitMixed || ast_id(lhs) < ast_id(rhs))
if(lhst == LitMixed && (rhst != LitMixed || ast_id(lhs) < ast_id(rhs)))
return make_normal_step(lhs,rhs,proof);
else
if(rhst == LitMixed && (lhst != LitMixed || ast_id(rhs) < ast_id(lhs)))
return make_normal_step(rhs,lhs,reverse_chain(proof));
throw "help!";
}
ast chain_side_proves(LitType side, const ast &chain){
@ -1794,8 +1818,10 @@ class iz3proof_itp_impl : public iz3proof_itp {
ast lhs2 = normal_lhs(f2);
int id1 = ast_id(lhs1);
int id2 = ast_id(lhs2);
if(id1 < id2) return cons_normal(f1,merge_normal_chains_rec(normal_rest(chain1),chain2,trans,Aproves,Bproves));
if(id2 < id1) return cons_normal(f2,merge_normal_chains_rec(chain1,normal_rest(chain2),trans,Aproves,Bproves));
if(id1 < id2)
return cons_normal(f1,merge_normal_chains_rec(normal_rest(chain1),chain2,trans,Aproves,Bproves));
if(id2 < id1)
return cons_normal(f2,merge_normal_chains_rec(chain1,normal_rest(chain2),trans,Aproves,Bproves));
ast rhs1 = normal_rhs(f1);
ast rhs2 = normal_rhs(f2);
LitType t1 = get_term_type(rhs1);
@ -1821,9 +1847,13 @@ class iz3proof_itp_impl : public iz3proof_itp {
Aproves = my_and(Aproves,mcB);
ast rep = apply_rewrite_chain(rhs1,Aproof);
new_proof = concat_rewrite_chain(pf1,Aproof);
new_normal = make_normal_step(rhs1,rep,new_proof);
new_normal = make_normal_step(lhs1,rep,new_proof);
ast A_normal = make_normal_step(rhs1,rep,Aproof);
ast res = cons_normal(new_normal,merge_normal_chains_rec(normal_rest(chain1),normal_rest(chain2),trans,Aproves,Bproves));
res = merge_normal_chains_rec(res,cons_normal(A_normal,make(True)),trans,Aproves,Bproves);
return res;
}
else if(t1 == LitA && t2 == LitB)
else if(t1 == LitB && t2 == LitA)
return merge_normal_chains_rec(chain2,chain1,trans,Aproves,Bproves);
else if(t1 == LitA) {
ast new_proof = concat_rewrite_chain(reverse_chain(pf1),pf2);
@ -1845,17 +1875,20 @@ class iz3proof_itp_impl : public iz3proof_itp {
return chain;
ast f = normal_first(chain);
ast r = normal_rest(chain);
r = trans_normal_chain(r,trans);
ast rhs = normal_rhs(f);
hash_map<ast,ast>::iterator it = trans.find(rhs);
ast new_normal;
if(it != trans.end()){
if(it != trans.end() && get_term_type(normal_lhs(f)) == LitMixed){
const ast &f2 = it->second;
ast pf = concat_rewrite_chain(normal_proof(f),normal_proof(f2));
new_normal = make_normal_step(normal_lhs(f),normal_rhs(f2),pf);
}
else
new_normal = f;
return cons_normal(new_normal,trans_normal_chain(r,trans));
if(get_term_type(normal_lhs(f)) == LitMixed)
trans[normal_lhs(f)] = new_normal;
return cons_normal(new_normal,r);
}
ast merge_normal_chains(const ast &chain1, const ast &chain2, ast &Aproves, ast &Bproves){
@ -2525,6 +2558,13 @@ class iz3proof_itp_impl : public iz3proof_itp {
// std::cout << "WARNING: non-local arithmetic\n";
// frng = erng; // this term will be localized
}
else if(o == Select){ // treat the array term like a function symbol
prover::range srng = pv->ast_scope(arg(e,0));
if(!(srng.lo > srng.hi) && pv->ranges_intersect(srng,rng)) // localize to desired range if possible
frng = pv->range_glb(srng,rng);
else
frng = srng; // this term will be localized
}
std::vector<ast> largs(nargs);
std::vector<ast> eqs;
std::vector<ast> pfs;