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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Unify
open Rules
open Errors
open Util
open Term
open Vars
open Glob_term
open Tacmach
open Tactics
open Tacticals
open Termops
open Reductionops
open Formula
open Sequent
open Names
open Misctypes
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 Int.equal m 0 then -1 else 1
| Real((m,_),_),Phantom(_)-> if Int.equal 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 Globnames.RefOrdered.compare id1 id2
module OrderedInstance=
struct
type t=instance * Globnames.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 (Pp.str "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 idc 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_unsafe_type_of gl idc 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.init m (fun i->mkRel (m-i))) t in
let rec aux n avoid env evmap decls =
if Int.equal n 0 then evmap, decls else
let nid=(fresh_id avoid var_id gl) in
let evmap, (c, _) = Evarutil.new_type_evar env evmap Evd.univ_flexible in
let decl = (Name nid,None,c) in
aux (n-1) (nid::avoid) (Environ.push_rel decl env) evmap (decl::decls) in
let evmap, decls = aux m [] env evmap [] in
evmap, decls, revt
(* 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 (Proofview.V82.of_tactic (cut dom))
[tclTHENLIST
[Proofview.V82.of_tactic introf;
pf_constr_of_global id (fun idc ->
(fun gls->generalize
[mkApp(idc,
[|mkVar (Tacmach.pf_nth_hyp_id gls 1)|])] gls));
Proofview.V82.of_tactic introf;
tclSOLVE [wrap 1 false continue
(deepen (record (id,None) seq))]];
tclTRY (Proofview.V82.of_tactic 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
pf_constr_of_global id (fun idc ->
fun gl->
let evmap,rc,ot = mk_open_instance id idc gl m t in
let gt=
it_mkLambda_or_LetIn
(mkApp(idc,[|ot|])) rc in
let evmap, _ =
try Typing.type_of (pf_env gl) evmap gt
with e when Errors.noncritical e ->
error "Untypable instance, maybe higher-order non-prenex quantification" in
tclTHEN (Refiner.tclEVARS evmap) (generalize [gt]) gl)
else
pf_constr_of_global id (fun idc ->
generalize [mkApp(idc,[|t|])])
in
tclTHENLIST
[special_generalize;
Proofview.V82.of_tactic 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 (Proofview.V82.of_tactic (cut dom))
[tclTHENLIST
[Proofview.V82.of_tactic introf;
(fun gls->
Proofview.V82.of_tactic (split (ImplicitBindings
[mkVar (Tacmach.pf_nth_hyp_id gls 1)])) gls);
tclSOLVE [wrap 0 true continue (deepen seq)]];
tclTRY (Proofview.V82.of_tactic assumption)]
| Real ((0,t),_) ->
(tclTHEN (Proofview.V82.of_tactic (split (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
|
