as above, but finds all the matching equalities, and the matching condition
can be either Founif.matching or Inference.unification
*)
+(* XXX termty unused *)
let rec find_all_matches ?(unif_fun=Founif.unification)
metasenv context ugraph lift_amount term termty =
let module C = Cic in
(*
returns true if target is subsumed by some equality in table
*)
+(*
let print_res l =
prerr_endline (String.concat "\n" (List.map (fun (_, subst, menv, ug,
((pos,equation),_)) -> Equality.string_of_equality equation)l))
;;
+*)
let subsumption_aux use_unification env table target =
let _, _, (ty, left, right, _), tmetas, _ = Equality.open_equality target in
| Founif.MatchingFailure
| CicUnification.UnificationFailure _ -> ok what leftorright tl
in
- match ok right Utils.Left leftr with
+ match ok right Utils.Left leftr with
| Some _ as res -> res
| None ->
let rightr =
subsumption_aux true x y z
;;
+let subsumption_aux_all use_unification env table target =
+ let _, _, (ty, left, right, _), tmetas, _ = Equality.open_equality target in
+ let _, context, ugraph = env in
+ let metasenv = tmetas in
+ let predicate, unif_fun =
+ if use_unification then
+ Unification, Founif.unification
+ else
+ Matching, Founif.matching
+ in
+ let leftr =
+ match left with
+ | Cic.Meta _ when not use_unification -> []
+ | _ ->
+ let leftc = get_candidates predicate table left in
+ find_all_matches ~unif_fun
+ metasenv context ugraph 0 left ty leftc
+ in
+ let rightr =
+ match right with
+ | Cic.Meta _ when not use_unification -> []
+ | _ ->
+ let rightc = get_candidates predicate table right in
+ find_all_matches ~unif_fun
+ metasenv context ugraph 0 right ty rightc
+ in
+ let rec ok_all what leftorright = function
+ | [] -> []
+ | (_, subst, menv, ug, (pos,equation))::tl ->
+ let _, _, (_, l, r, o), m,_ = Equality.open_equality equation in
+ try
+ let other = if pos = Utils.Left then r else l in
+ let what' = Subst.apply_subst subst what in
+ let other' = Subst.apply_subst subst other in
+ let subst', menv', ug' =
+ unif_fun metasenv m context what' other' ugraph
+ in
+ (match Subst.merge_subst_if_possible subst subst' with
+ | None -> ok_all what leftorright tl
+ | Some s ->
+ (s, equation, leftorright <> pos )::(ok_all what leftorright tl))
+ with
+ | Founif.MatchingFailure
+ | CicUnification.UnificationFailure _ -> (ok_all what leftorright tl)
+ in
+ (ok_all right Utils.Left leftr)@(ok_all left Utils.Right rightr )
+;;
+
+let subsumption_all x y z =
+ subsumption_aux_all false x y z
+;;
+
+let unification_all x y z =
+ subsumption_aux_all true x y z
+;;
let rec demodulation_aux bag ?from ?(typecheck=false)
metasenv context ugraph table lift_amount term =
(* Printf.eprintf "term = %s\n" (CicPp.ppterm term);*)
try fst (CicTypeChecker.type_of_aux' metasenv context what ugraph)
with CicUtil.Meta_not_found _ -> ty
in
+ let ty, eq_ty = apply_subst subst ty, apply_subst subst eq_ty in
let what, other = if pos = Utils.Left then what, other else other, what in
let newterm, newproof =
let bo =
match res with
| Some t ->
let newmeta, newtarget = build_newtarget true t in
- assert (not (Equality.meta_convertibility_eq target newtarget));
+ (* assert (not (Equality.meta_convertibility_eq target newtarget)); *)
if (Equality.is_weak_identity newtarget) (* || *)
(*Equality.meta_convertibility_eq target newtarget*) then
newmeta, newtarget
Equality.open_equality equality in
let what, other = if pos = Utils.Left then what, other else other, what in
+ let ty, eq_ty = apply_subst s ty, apply_subst s eq_ty in
let newgoal, newproof =
(* qua *)
let bo' =
in
let new1 = List.map (build_new U.Gt) res1
and new2 = List.map (build_new U.Lt) res2 in
- let ok e = not (Equality.is_weak_identity (*metasenv', context, ugraph*) e) in
+ let ok e = not (Equality.is_identity (metasenv', context, ugraph) e) in
(!maxmeta,
(List.filter ok (new1 @ new2)))
;;
let open_goal g =
match g with
| (proof,menv,Cic.Appl[(Cic.MutInd(uri,0,_)) as eq;ty;l;r]) ->
- assert (LibraryObjects.is_eq_URI uri);
+ (* assert (LibraryObjects.is_eq_URI uri); *)
proof,menv,eq,ty,l,r
| _ -> assert false
;;
Utils.guarded_simpl context
(apply_subst subst (CicSubstitution.subst other t))
in
- let bo' = (*apply_subst subst*) t in
- let name = Cic.Name "x" in
+ let bo' = apply_subst subst t in
+ let ty = apply_subst subst ty in
+ let name = Cic.Name "x" in
let newgoalproofstep = (rule,pos,id,subst,Cic.Lambda (name,ty,bo')) in
bo, (newgoalproofstep::goalproof)
in
| None -> do_right ()
;;
+type next = L | R
+type solved = Yes of Equality.goal | No of Equality.goal list
+
+(* returns all the 1 step demodulations *)
+module C = Cic;;
+module S = CicSubstitution;;
+let rec demodulation_all_aux
+ metasenv context ugraph table lift_amount term
+=
+ let candidates =
+ get_candidates ~env:(metasenv,context,ugraph) Matching table term
+ in
+ match term with
+ | C.Meta _ -> []
+ | _ ->
+ let termty, ugraph = C.Implicit None, ugraph in
+ let res =
+ find_all_matches
+ metasenv context ugraph lift_amount term termty candidates
+ in
+ match term with
+ | C.Appl l ->
+ let res, _, _ =
+ List.fold_left
+ (fun (res,l,r) t ->
+ res @
+ List.map
+ (fun (rel, s, m, ug, c) ->
+ (Cic.Appl (l@[rel]@List.tl r), s, m, ug, c))
+ (demodulation_all_aux
+ metasenv context ugraph table lift_amount t),
+ l@[List.hd r], List.tl r)
+ (res, [], List.map (S.lift 1) l) l
+ in
+ res
+ | C.Prod (nn, s, t)
+ | C.Lambda (nn, s, t) ->
+ let context = (Some (nn, C.Decl s))::context in
+ let mk s t =
+ match term with
+ | Cic.Prod _ -> Cic.Prod (nn,s,t) | _ -> Cic.Lambda (nn,s,t)
+ in
+ res @
+ List.map
+ (fun (rel, subst, m, ug, c) ->
+ mk (S.lift 1 s) rel, subst, m, ug, c)
+ (demodulation_all_aux
+ metasenv context ugraph table (lift_amount+1) t)
+ (* we could demodulate also in s, but then t may be badly
+ * typed... *)
+ | t -> res
+;;
+
+let solve_demodulating bag env table initgoal steps =
+ let _, context, ugraph = env in
+ let solved goal res side =
+ let newg = build_newgoal bag context goal side Equality.Demodulation res in
+ match newg with
+ | (goalproof,m,Cic.Appl[Cic.MutInd(uri,n,ens);eq_ty;left;right])
+ when LibraryObjects.is_eq_URI uri ->
+ (try
+ let _ =
+ Founif.unification m m context left right CicUniv.empty_ugraph
+ in
+ Yes newg
+ with CicUnification.UnificationFailure _ -> No [newg])
+ | _ -> No [newg]
+ in
+ let solved goal res_list side =
+ let newg = List.map (fun x -> solved goal x side) res_list in
+ try
+ List.find (function Yes _ -> true | _ -> false) newg
+ with Not_found ->
+ No (List.flatten (List.map (function No s -> s | _-> assert false) newg))
+ in
+ let rec first f l =
+ match l with
+ | [] -> None
+ | x::tl ->
+ match f x with
+ | None -> first f tl
+ | Some x as ok -> ok
+ in
+ let rec aux steps next goal =
+ if steps = 0 then None else
+ let goalproof,menv,_,_,left,right = open_goal goal in
+ let do_step t =
+ demodulation_all_aux menv context ugraph table 0 t
+ in
+ match next with
+ | L ->
+ (match do_step left with
+ | _::_ as res ->
+ (match solved goal res Utils.Right with
+ | No newgoals ->
+ (match first (aux (steps - 1) L) newgoals with
+ | Some g as success -> success
+ | None -> aux steps R goal)
+ | Yes newgoal -> Some newgoal)
+ | [] -> aux steps R goal)
+ | R ->
+ (match do_step right with
+ | _::_ as res ->
+ (match solved goal res Utils.Left with
+ | No newgoals ->
+ (match first (aux (steps - 1) L) newgoals with
+ | Some g as success -> success
+ | None -> None)
+ | Yes newgoal -> Some newgoal)
+ | [] -> None)
+ in
+ aux steps L initgoal
+;;
+
let get_stats () = "" ;;
projects / helm.git / blobdiff