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Diffstat (limited to 'contrib/firstorder/instances.ml')
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1 files changed, 206 insertions, 0 deletions
diff --git a/contrib/firstorder/instances.ml b/contrib/firstorder/instances.ml new file mode 100644 index 00000000..1432207d --- /dev/null +++ b/contrib/firstorder/instances.ml @@ -0,0 +1,206 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) + +(*i $Id: instances.ml 10410 2007-12-31 13:11:55Z msozeau $ i*) + +open Formula +open Sequent +open Unify +open Rules +open Util +open Term +open Rawterm +open Tacmach +open Tactics +open Tacticals +open Termops +open Reductionops +open Declarations +open Formula +open Sequent +open Names +open Libnames + +let compare_instance inst1 inst2= + match inst1,inst2 with + Phantom(d1),Phantom(d2)-> + (OrderedConstr.compare d1 d2) + | Real((m1,c1),n1),Real((m2,c2),n2)-> + ((-) =? (-) ==? OrderedConstr.compare) m2 m1 n1 n2 c1 c2 + | Phantom(_),Real((m,_),_)-> if m=0 then -1 else 1 + | Real((m,_),_),Phantom(_)-> if m=0 then 1 else -1 + +let compare_gr id1 id2= + if id1==id2 then 0 else + if id1==dummy_id then 1 + else if id2==dummy_id then -1 + else Pervasives.compare id1 id2 + +module OrderedInstance= +struct + type t=instance * Libnames.global_reference + let compare (inst1,id1) (inst2,id2)= + (compare_instance =? compare_gr) inst2 inst1 id2 id1 + (* we want a __decreasing__ total order *) +end + +module IS=Set.Make(OrderedInstance) + +let make_simple_atoms seq= + let ratoms= + match seq.glatom with + Some t->[t] + | None->[] + in {negative=seq.latoms;positive=ratoms} + +let do_sequent setref triv id seq i dom atoms= + let flag=ref true in + let phref=ref triv in + let do_atoms a1 a2 = + let do_pair t1 t2 = + match unif_atoms i dom t1 t2 with + None->() + | Some (Phantom _) ->phref:=true + | Some c ->flag:=false;setref:=IS.add (c,id) !setref in + List.iter (fun t->List.iter (do_pair t) a2.negative) a1.positive; + List.iter (fun t->List.iter (do_pair t) a2.positive) a1.negative in + HP.iter (fun lf->do_atoms atoms lf.atoms) seq.redexes; + do_atoms atoms (make_simple_atoms seq); + !flag && !phref + +let match_one_quantified_hyp setref seq lf= + match lf.pat with + Left(Lforall(i,dom,triv))|Right(Rexists(i,dom,triv))-> + if do_sequent setref triv lf.id seq i dom lf.atoms then + setref:=IS.add ((Phantom dom),lf.id) !setref + | _ ->anomaly "can't happen" + +let give_instances lf seq= + let setref=ref IS.empty in + List.iter (match_one_quantified_hyp setref seq) lf; + IS.elements !setref + +(* collector for the engine *) + +let rec collect_quantified seq= + try + let hd,seq1=take_formula seq in + (match hd.pat with + Left(Lforall(_,_,_)) | Right(Rexists(_,_,_)) -> + let (q,seq2)=collect_quantified seq1 in + ((hd::q),seq2) + | _->[],seq) + with Heap.EmptyHeap -> [],seq + +(* open instances processor *) + +let dummy_constr=mkMeta (-1) + +let dummy_bvid=id_of_string "x" + +let mk_open_instance id gl m t= + let env=pf_env gl in + let evmap=Refiner.project gl in + let var_id= + if id==dummy_id then dummy_bvid else + let typ=pf_type_of gl (constr_of_global id) in + (* since we know we will get a product, + reduction is not too expensive *) + let (nam,_,_)=destProd (whd_betadeltaiota env evmap typ) in + match nam with + Name id -> id + | Anonymous -> dummy_bvid in + let revt=substl (list_tabulate (fun i->mkRel (m-i)) m) t in + let rec aux n avoid= + if n=0 then [] else + let nid=(fresh_id avoid var_id gl) in + (Name nid,None,dummy_constr)::(aux (n-1) (nid::avoid)) in + let nt=it_mkLambda_or_LetIn revt (aux m []) in + let rawt=Detyping.detype false [] [] nt in + let rec raux n t= + if n=0 then t else + match t with + RLambda(loc,name,k,_,t0)-> + let t1=raux (n-1) t0 in + RLambda(loc,name,k,RHole (dummy_loc,Evd.BinderType name),t1) + | _-> anomaly "can't happen" in + let ntt=try + Pretyping.Default.understand evmap env (raux m rawt) + with _ -> + error "Untypable instance, maybe higher-order non-prenex quantification" in + Sign.decompose_lam_n_assum m ntt + +(* tactics *) + +let left_instance_tac (inst,id) continue seq= + match inst with + Phantom dom-> + if lookup (id,None) seq then + tclFAIL 0 (Pp.str "already done") + else + tclTHENS (cut dom) + [tclTHENLIST + [introf; + (fun gls->generalize + [mkApp(constr_of_global id, + [|mkVar (Tacmach.pf_nth_hyp_id gls 1)|])] gls); + introf; + tclSOLVE [wrap 1 false continue + (deepen (record (id,None) seq))]]; + tclTRY assumption] + | Real((m,t) as c,_)-> + if lookup (id,Some c) seq then + tclFAIL 0 (Pp.str "already done") + else + let special_generalize= + if m>0 then + fun gl-> + let (rc,ot)= mk_open_instance id gl m t in + let gt= + it_mkLambda_or_LetIn + (mkApp(constr_of_global id,[|ot|])) rc in + generalize [gt] gl + else + generalize [mkApp(constr_of_global id,[|t|])] + in + tclTHENLIST + [special_generalize; + introf; + tclSOLVE + [wrap 1 false continue (deepen (record (id,Some c) seq))]] + +let right_instance_tac inst continue seq= + match inst with + Phantom dom -> + tclTHENS (cut dom) + [tclTHENLIST + [introf; + (fun gls-> + split (Rawterm.ImplicitBindings + [mkVar (Tacmach.pf_nth_hyp_id gls 1)]) gls); + tclSOLVE [wrap 0 true continue (deepen seq)]]; + tclTRY assumption] + | Real ((0,t),_) -> + (tclTHEN (split (Rawterm.ImplicitBindings [t])) + (tclSOLVE [wrap 0 true continue (deepen seq)])) + | Real ((m,t),_) -> + tclFAIL 0 (Pp.str "not implemented ... yet") + +let instance_tac inst= + if (snd inst)==dummy_id then + right_instance_tac (fst inst) + else + left_instance_tac inst + +let quantified_tac lf backtrack continue seq gl= + let insts=give_instances lf seq in + tclORELSE + (tclFIRST (List.map (fun inst->instance_tac inst continue seq) insts)) + backtrack gl + + |