exception UnificationFailure of string Lazy.t;;
exception Uncertain of string Lazy.t;;
exception AssertFailure of string Lazy.t;;
+exception KeepReducing of string Lazy.t;;
+exception KeepReducingThis of
+ string Lazy.t * (NCicReduction.machine * bool) *
+ (NCicReduction.machine * bool) ;;
let (===) x y = Pervasives.compare x y = 0 ;;
-let uncert_exc metasenv subst context t1 t2 =
- Uncertain (lazy (
+let mk_msg metasenv subst context t1 t2 =
+ (lazy (
"Can't unify " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^
" with " ^ NCicPp.ppterm ~metasenv ~subst ~context t2))
-;;
-
-let fail_exc metasenv subst context t1 t2 =
- UnificationFailure (lazy (
- "Can't unify " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^
- " with " ^ NCicPp.ppterm ~metasenv ~subst ~context t2));
-;;
-let mk_appl hd tl =
- match hd with
- | NCic.Appl l -> NCic.Appl (l@tl)
- | _ -> NCic.Appl (hd :: tl)
-;;
-
-let flexible l =
- List.exists
- (function
- | NCic.Meta _
- | NCic.Appl (NCic.Meta _::_) -> true
- | _ -> false) l
+let mk_appl ~upto hd tl =
+ NCicReduction.head_beta_reduce ~upto
+ (match hd with
+ | NCic.Appl l -> NCic.Appl (l@tl)
+ | _ -> NCic.Appl (hd :: tl))
;;
exception WrongShape;;
-let eta_reduce =
- let delift_if_not_occur body orig =
+let eta_reduce subst t =
+ let delift_if_not_occur body =
try
- NCicSubstitution.psubst ~avoid_beta_redexes:true
- (fun () -> raise WrongShape) [()] body
- with WrongShape -> orig
+ Some (NCicSubstitution.psubst ~avoid_beta_redexes:true
+ (fun () -> raise WrongShape) [()] body)
+ with WrongShape -> None
+ in
+ let rec eat_lambdas ctx = function
+ | NCic.Lambda (name, src, tgt) ->
+ eat_lambdas ((name, src) :: ctx) tgt
+ | NCic.Meta (i,lc) as t->
+ (try
+ let _,_,t,_ = NCicUtils.lookup_subst i subst in
+ let t = NCicSubstitution.subst_meta lc t in
+ eat_lambdas ctx t
+ with NCicUtils.Subst_not_found _ -> ctx, t)
+ | t -> ctx, t
in
- function
- | NCic.Lambda(_, _, NCic.Appl [hd; NCic.Rel 1]) as orig ->
- delift_if_not_occur hd orig
- | NCic.Lambda(_, _, NCic.Appl (hd :: l)) as orig
- when HExtlib.list_last l = NCic.Rel 1 ->
- let body =
- let args, _ = HExtlib.split_nth (List.length l - 1) l in
- NCic.Appl (hd::args)
- in
- delift_if_not_occur body orig
- | t -> t
+ let context_body = eat_lambdas [] t in
+ let rec aux = function
+ | [],body -> body
+ | (name, src)::ctx, (NCic.Appl (hd::[NCic.Rel 1]) as bo) ->
+ (match delift_if_not_occur hd with
+ | None -> aux (ctx,NCic.Lambda(name,src, bo))
+ | Some bo -> aux (ctx,bo))
+ | (name, src)::ctx, (NCic.Appl args as bo)
+ when HExtlib.list_last args = NCic.Rel 1 ->
+ let args, _ = HExtlib.split_nth (List.length args - 1) args in
+ (match delift_if_not_occur (NCic.Appl args) with
+ | None -> aux (ctx,NCic.Lambda(name,src, bo))
+ | Some bo -> aux (ctx,bo))
+ | (name, src) :: ctx, t ->
+ aux (ctx,NCic.Lambda(name,src, t))
+ in
+ aux context_body
;;
-
+
module C = NCic;;
module Ref = NReference;;
+let debug = ref false;;
let indent = ref "";;
-let inside c = indent := !indent ^ String.make 1 c;;
-let outside () = indent := String.sub !indent 0 (String.length !indent -1);;
-
-(*
-let pp s =
+let times = ref [];;
+let pp s =
+ if !debug then
prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
-;;
-*)
-
-let pp _ = ();;
+;;
+let inside c =
+ if !debug then
+ begin
+ let time1 = Unix.gettimeofday () in
+ indent := !indent ^ String.make 1 c;
+ times := time1 :: !times;
+ prerr_endline ("{{{" ^ !indent ^ " ")
+ end
+;;
+let outside exc_opt =
+ if !debug then
+ begin
+ let time2 = Unix.gettimeofday () in
+ let time1 =
+ match !times with time1::tl -> times := tl; time1 | [] -> assert false in
+ prerr_endline ("}}} " ^ !indent ^ " " ^ string_of_float (time2 -. time1));
+ (match exc_opt with
+ | Some e -> prerr_endline ("exception raised: " ^ Printexc.to_string e)
+ | None -> ());
+ try
+ indent := String.sub !indent 0 (String.length !indent -1)
+ with
+ Invalid_argument _ -> indent := "??"; ()
+ end
+;;
-let fix_sorts swap metasenv subst context meta t =
- let rec aux () = function
- | NCic.Sort (NCic.Type u) as orig ->
- if swap then
- match NCicEnvironment.sup u with
- | None -> prerr_endline "no sup for" ;
- raise (fail_exc metasenv subst context meta t)
- | Some u1 -> if u = u1 then orig else NCic.Sort (NCic.Type u1)
- else
- NCic.Sort (NCic.Type (
- match NCicEnvironment.sup NCicEnvironment.type0 with
- | Some x -> x
- | _ -> assert false))
- | NCic.Meta _ as orig -> orig
- | t -> NCicUtils.map (fun _ _ -> ()) () aux t
- in
- aux () t
+let ppcontext ~metasenv ~subst c =
+ "\nctx:\n"^ NCicPp.ppcontext ~metasenv ~subst c
;;
+let ppmetasenv ~subst m = "\nmenv:\n" ^ NCicPp.ppmetasenv ~subst m;;
-let rec beta_expand hdb num test_eq_only swap metasenv subst context t arg =
- let rec aux (n,context,test_eq_only as k) (metasenv, subst as acc) t' =
+let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "";;
+let ppmetasenv ~subst:_subst _metasenv = "";;
+let ppterm ~metasenv ~subst ~context = NCicPp.ppterm ~metasenv ~subst ~context;;
+(* let ppterm ~metasenv:_ ~subst:_ ~context:_ _ = "";; *)
+
+let is_locked n subst =
try
- let metasenv, subst =
- if swap then
- unify hdb test_eq_only metasenv subst context t' (NCicSubstitution.lift n arg)
- else
- unify hdb test_eq_only metasenv subst context (NCicSubstitution.lift n arg) t'
- in
- (metasenv, subst), NCic.Rel (1 + n)
- with Uncertain _ | UnificationFailure _ ->
- match t' with
- | NCic.Rel m as orig ->
- (metasenv, subst), if m <= n then orig else NCic.Rel (m+1)
- (* andrea: in general, beta_expand can create badly typed
- terms. This happens quite seldom in practice, UNLESS we
- iterate on the local context. For this reason, we renounce
- to iterate and just lift *)
- | NCic.Meta (i,(shift,lc)) ->
- (metasenv,subst), NCic.Meta (i,(shift+1,lc))
- | NCic.Prod (name, src, tgt) as orig ->
- let (metasenv, subst), src1 = aux (n,context,true) acc src in
- let k = n+1, (name, NCic.Decl src) :: context, test_eq_only in
- let ms, tgt1 = aux k (metasenv, subst) tgt in
- if src == src1 && tgt == tgt1 then ms, orig else
- ms, NCic.Prod (name, src1, tgt1)
- | t ->
- NCicUntrusted.map_term_fold_a
- (fun e (n,ctx,teq) -> n+1,e::ctx,teq) k aux acc t
+ match NCicUtils.lookup_subst n subst with
+ | tag, _,_,_ when NCicMetaSubst.is_out_scope_tag tag -> true
+ | _ -> false
+ with NCicUtils.Subst_not_found _ -> false
+;;
+
+let rec mk_irl stop base =
+ if base > stop then []
+ else (NCic.Rel base) :: mk_irl stop (base+1)
+;;
+(* the argument must be a term in whd *)
+let rec could_reduce =
+ function
+ | C.Meta _ -> true
+ | C.Appl (C.Const (Ref.Ref (_,Ref.Fix (_,recno,_)))::args)
+ when List.length args > recno -> could_reduce (List.nth args recno)
+ | C.Match (_,_,arg,_) -> could_reduce arg
+ | C.Appl (he::_) -> could_reduce he
+ | C.Sort _ | C.Rel _ | C.Prod _ | C.Lambda _ | C.Const _ -> false
+ | C.Appl [] | C.LetIn _ | C.Implicit _ -> assert false
+;;
+
+let rec lambda_intros rdb metasenv subst context argsno ty =
+ pp (lazy ("LAMBDA INTROS: " ^ ppterm ~metasenv ~subst ~context ty));
+ match argsno with
+ 0 ->
+ let metasenv, _, bo, _ =
+ NCicMetaSubst.mk_meta metasenv context ~with_type:ty `IsTerm
+ in
+ metasenv, bo
+ | _ ->
+ (match NCicReduction.whd ~subst context ty with
+ C.Prod (n,so,ta) ->
+ let metasenv,bo =
+ lambda_intros rdb metasenv subst
+ ((n,C.Decl so)::context) (argsno - 1) ta
+ in
+ metasenv,C.Lambda (n,so,bo)
+ | _ -> assert false)
+;;
+
+let unopt exc = function None -> raise exc | Some x -> x ;;
+
+let fix metasenv subst is_sup test_eq_only exc t =
+ (*D*) inside 'f'; try let rc =
+ pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context:[] t));
+ let rec aux test_eq_only metasenv = function
+ | NCic.Prod (n,so,ta) ->
+ let metasenv,so = aux true metasenv so in
+ let metasenv,ta = aux test_eq_only metasenv ta in
+ metasenv,NCic.Prod (n,so,ta)
+ | NCic.Sort (NCic.Type [(`CProp|`Type),_]) as orig when test_eq_only ->
+ metasenv,orig
+ | NCic.Sort (NCic.Type _) when test_eq_only -> raise exc
+ | NCic.Sort (NCic.Type u) when is_sup ->
+ metasenv, NCic.Sort (NCic.Type (unopt exc (NCicEnvironment.sup u)))
+ | NCic.Sort (NCic.Type u) ->
+ metasenv, NCic.Sort (NCic.Type
+ (unopt exc (NCicEnvironment.inf ~strict:false u)))
+ | NCic.Meta (n,_) as orig ->
+ (try
+ let _,_,_,_ = NCicUtils.lookup_subst n subst in metasenv,orig
+ with NCicUtils.Subst_not_found _ ->
+ let metasenv, _ = NCicMetaSubst.extend_meta metasenv n in
+ metasenv, orig)
+ | t ->
+ NCicUntrusted.map_term_fold_a (fun _ x -> x) test_eq_only aux metasenv t
in
- let argty = NCicTypeChecker.typeof ~metasenv ~subst context arg in
- let fresh_name = "Hbeta" ^ string_of_int num in
- let (metasenv,subst), t1 =
- aux (0, context, test_eq_only) (metasenv, subst) t in
- let t2 = eta_reduce (NCic.Lambda (fresh_name,argty,t1)) in
- try
- ignore(NCicTypeChecker.typeof ~metasenv ~subst context t2);
- metasenv, subst, t2
- with NCicTypeChecker.TypeCheckerFailure _ ->
- metasenv, subst, NCic.Lambda ("_", argty, NCicSubstitution.lift 1 arg)
-
-and beta_expand_many hdb test_equality_only swap metasenv subst context t args =
-(* (*D*) inside 'B'; try let rc = *)
- pp (lazy (String.concat ", "
- (List.map (NCicPp.ppterm ~metasenv ~subst ~context)
- args) ^ " ∈ " ^ NCicPp.ppterm ~metasenv ~subst ~context t));
- let _, subst, metasenv, hd =
- List.fold_right
- (fun arg (num,subst,metasenv,t) ->
- let metasenv, subst, t =
- beta_expand hdb num test_equality_only swap metasenv subst context t arg
+ aux test_eq_only metasenv t
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+;;
+
+let metasenv_to_subst n (kind,context,ty) metasenv subst =
+ let infos,metasenv = List.partition (fun (n',_) -> n = n') metasenv in
+ let attrs,octx,oty = match infos with [_,infos] -> infos | _ -> assert false in
+ if octx=context && oty=ty then
+ (n,(NCicUntrusted.set_kind kind attrs, octx, oty))::metasenv,subst
+ else
+ let metasenv, _, bo, _ =
+ NCicMetaSubst.mk_meta metasenv context ~attrs ~with_type:ty kind in
+ let subst = (n,(NCicUntrusted.set_kind kind attrs,octx,bo,oty))::subst in
+ metasenv,subst
+;;
+
+let rec sortfy exc metasenv subst context t =
+ let t = NCicReduction.whd ~subst context t in
+ let metasenv,subst =
+ match t with
+ | NCic.Sort _ -> metasenv, subst
+ | NCic.Meta (n,_) ->
+ let attrs, context, ty = NCicUtils.lookup_meta n metasenv in
+ let kind = NCicUntrusted.kind_of_meta attrs in
+ if kind = `IsSort then
+ metasenv,subst
+ else
+ (match ty with
+ | NCic.Implicit (`Typeof _) ->
+ metasenv_to_subst n (`IsSort,[],ty) metasenv subst
+ | ty ->
+ let metasenv,subst,ty = sortfy exc metasenv subst context ty in
+ metasenv_to_subst n (`IsSort,[],ty) metasenv subst)
+ | NCic.Implicit _ -> assert false
+ | _ -> raise exc
+ in
+ metasenv,subst,t
+
+let tipify exc metasenv subst context t ty =
+ let is_type attrs =
+ match NCicUntrusted.kind_of_meta attrs with
+ `IsType | `IsSort -> true
+ | `IsTerm -> false
+ in
+ let rec optimize_meta metasenv subst =
+ function
+ NCic.Meta (n,lc) ->
+ (try
+ let attrs,_,_ = NCicUtils.lookup_meta n metasenv in
+ if is_type attrs then
+ metasenv,subst,true
+ else
+ let _,cc,ty = NCicUtils.lookup_meta n metasenv in
+ let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
+ let metasenv =
+ NCicUntrusted.replace_in_metasenv n
+ (fun attrs,cc,_ -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
+ metasenv
in
- num+1,subst,metasenv,t)
- args (1,subst,metasenv,t)
- in
- pp (lazy ("Head syntesized by b-exp: " ^
- NCicPp.ppterm ~metasenv ~subst ~context hd));
- metasenv, subst, hd
-(* (*D*) in outside (); rc with exn -> outside (); raise exn *)
+ metasenv,subst,false
+ with
+ NCicUtils.Meta_not_found _ ->
+ let attrs, _,bo,_ = NCicUtils.lookup_subst n subst in
+ if is_type attrs then
+ metasenv,subst,true
+ else
+ let _,cc,_,ty = NCicUtils.lookup_subst n subst in
+ let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
+ let subst =
+ NCicUntrusted.replace_in_subst n
+ (fun attrs,cc,bo,_->NCicUntrusted.set_kind `IsType attrs,cc,bo,ty)
+ subst
+ in
+ optimize_meta metasenv subst (NCicSubstitution.subst_meta lc bo))
+ | _ -> metasenv,subst,false
+ in
+ let metasenv,subst,b = optimize_meta metasenv subst t in
+ if b then
+ metasenv,subst,t
+ else
+ let metasenv,subst,_ = sortfy exc metasenv subst context ty in
+ metasenv,subst,t
+;;
-and instantiate hdb test_eq_only metasenv subst context n lc t swap =
+let rec instantiate rdb test_eq_only metasenv subst context n lc t swap =
(*D*) inside 'I'; try let rc =
- pp (lazy(string_of_int n ^ " :=?= "^
- NCicPp.ppterm ~metasenv ~subst ~context t));
- let unify test_eq_only m s c t1 t2 =
- if swap then unify hdb test_eq_only m s c t2 t1
- else unify hdb test_eq_only m s c t1 t2
- in
- let name, ctx, ty = NCicUtils.lookup_meta n metasenv in
- let metasenv, subst, t =
- match ty with
- | NCic.Implicit (`Typeof _) ->
- metasenv,subst, t
- (* fix_sorts swap metasenv subst context (NCic.Meta(n,lc)) t *)
- | _ ->
- pp (lazy (
- "typeof: " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ "\nctx:\n"^
- NCicPp.ppcontext ~metasenv ~subst context ^ "\nmenv:\n"^
- NCicPp.ppmetasenv ~subst metasenv));
- let t, ty_t =
- try t, NCicTypeChecker.typeof ~subst ~metasenv context t
- with
- | NCicTypeChecker.AssertFailure msg ->
- (pp (lazy "fine typeof (fallimento)");
- let ft=fix_sorts swap metasenv subst context (NCic.Meta (n,lc)) t in
- if ft == t then
- (prerr_endline ( ("ILLTYPED: " ^
- NCicPp.ppterm ~metasenv ~subst ~context t
- ^ "\nBECAUSE:" ^ Lazy.force msg ^ "\nCONTEXT:\n" ^
- NCicPp.ppcontext ~metasenv ~subst context ^ "\nMENV:\n" ^
- NCicPp.ppmetasenv ~subst metasenv
- ));
- assert false)
- else
- try
- pp (lazy ("typeof: " ^
- NCicPp.ppterm ~metasenv ~subst ~context ft));
- ft, NCicTypeChecker.typeof ~subst ~metasenv context ft
- with NCicTypeChecker.AssertFailure _ ->
- assert false)
- | NCicTypeChecker.TypeCheckerFailure msg ->
- prerr_endline (Lazy.force msg);
- pp msg; assert false
- in
- let lty = NCicSubstitution.subst_meta lc ty in
- pp (lazy ("On the types: " ^
- NCicPp.ppterm ~metasenv ~subst ~context:ctx ty ^ " ~~~ " ^
- NCicPp.ppterm ~metasenv ~subst ~context lty ^ " === "
- ^ NCicPp.ppterm ~metasenv ~subst ~context ty_t));
- let metasenv,subst= unify test_eq_only metasenv subst context lty ty_t in
- metasenv, subst, t
- in
- pp (lazy(string_of_int n ^ " := 111 = "^
- NCicPp.ppterm ~metasenv ~subst ~context t));
- let (metasenv, subst), t =
- try NCicMetaSubst.delift metasenv subst context n lc t
- with NCicMetaSubst.Uncertain msg ->
- pp (lazy ("delift fails: " ^ Lazy.force msg));
- raise (Uncertain msg)
- | NCicMetaSubst.MetaSubstFailure msg ->
- pp (lazy ("delift fails: " ^ Lazy.force msg));
- raise (UnificationFailure msg)
+ pp (lazy(string_of_int n^" :=?= "^ppterm ~metasenv ~subst ~context t));
+ let exc =
+ UnificationFailure (mk_msg metasenv subst context (NCic.Meta (n,lc)) t) in
+ let move_to_subst i ((_,cc,t,_) as infos) metasenv subst =
+ let metasenv = List.remove_assoc i metasenv in
+ pp(lazy(string_of_int n ^ " :==> "^ ppterm ~metasenv ~subst ~context:cc t));
+ metasenv, (i,infos) :: subst
in
- pp (lazy(string_of_int n ^ " := 222 = "^
- NCicPp.ppterm ~metasenv ~subst ~context:ctx t
- ^ "\n" ^ NCicPp.ppmetasenv ~subst metasenv));
- (* Unifying the types may have already instantiated n. *)
- try
- let _, _,oldt,_ = NCicUtils.lookup_subst n subst in
- let oldt = NCicSubstitution.subst_meta lc oldt in
- let t = NCicSubstitution.subst_meta lc t in
- (* conjecture: always fail --> occur check *)
- unify test_eq_only metasenv subst context oldt t
- with NCicUtils.Subst_not_found _ ->
- (* by cumulativity when unify(?,Type_i)
- * we could ? := Type_j with j <= i... *)
- let subst = (n, (name, ctx, t, ty)) :: subst in
- pp (lazy ("?"^string_of_int n^" := "^NCicPp.ppterm
- ~metasenv ~subst ~context (NCicSubstitution.subst_meta lc t)));
- let metasenv =
- List.filter (fun (m,_) -> not (n = m)) metasenv
+ let delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv subst =
+ pp (lazy(string_of_int n ^ " := 111 = "^
+ ppterm ~metasenv ~subst ~context t));
+ let (metasenv, subst), t =
+ try
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ let ind = !indent in
+ let res =
+ try Some (unify rdb test_eq_only m s c t1 t2 false)
+ with UnificationFailure _ | Uncertain _ -> None
+ in
+ indent := ind; res)
+ metasenv subst context n lc t
+ with NCicMetaSubst.Uncertain msg ->
+ pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
+ raise (Uncertain msg)
+ | NCicMetaSubst.MetaSubstFailure msg ->
+ pp (lazy ("delift fails: " ^ Lazy.force msg));
+ raise (UnificationFailure msg)
in
- metasenv, subst
- (*D*) in outside(); rc with exn -> outside (); raise exn
-
-and unify hdb test_eq_only metasenv subst context t1 t2 =
+ pp (lazy(string_of_int n ^ " := 222 = "^
+ ppterm ~metasenv ~subst ~context:cc t^ppmetasenv ~subst metasenv));
+ (* Unifying the types may have already instantiated n. *)
+ try
+ let _, _,oldt,_ = NCicUtils.lookup_subst n subst in
+ let oldt = NCicSubstitution.subst_meta lc oldt in
+ let t = NCicSubstitution.subst_meta lc t in
+ (* conjecture: always fail --> occur check *)
+ unify rdb test_eq_only metasenv subst context t oldt false
+ with NCicUtils.Subst_not_found _ ->
+ move_to_subst n (attrs,cc,t,ty) metasenv subst
+ in
+ let attrs,cc,ty = NCicUtils.lookup_meta n metasenv in
+ let kind = NCicUntrusted.kind_of_meta attrs in
+ let metasenv,t = fix metasenv subst swap test_eq_only exc t in
+ let ty_t = NCicTypeChecker.typeof ~metasenv ~subst context t in
+ let metasenv,subst,t =
+ match kind with
+ `IsSort -> sortfy exc metasenv subst context t
+ | `IsType -> tipify exc metasenv subst context t ty_t
+ | `IsTerm -> metasenv,subst,t in
+ match kind with
+ | `IsSort ->
+ (match ty,t with
+ NCic.Implicit (`Typeof _), NCic.Sort _ ->
+ move_to_subst n (attrs,cc,t,ty_t) metasenv subst
+ | NCic.Sort (NCic.Type u1), NCic.Sort s ->
+ let s =
+ match s,swap with
+ NCic.Type u2, false ->
+ NCic.Sort (NCic.Type
+ (unopt exc (NCicEnvironment.inf ~strict:false
+ (unopt exc (NCicEnvironment.inf ~strict:true u1) @ u2))))
+ | NCic.Type u2, true ->
+ if NCicEnvironment.universe_lt u2 u1 then
+ NCic.Sort (NCic.Type u2)
+ else (raise exc)
+ | NCic.Prop,_ -> NCic.Sort NCic.Prop
+ in
+ move_to_subst n (attrs,cc,s,ty) metasenv subst
+ | NCic.Implicit (`Typeof _), NCic.Meta _ ->
+ move_to_subst n (attrs,cc,t,ty_t) metasenv subst
+ | _, NCic.Meta _
+ | NCic.Meta _, NCic.Sort _ ->
+ pp (lazy ("On the types: " ^
+ ppterm ~metasenv ~subst ~context ty ^ "=<=" ^
+ ppterm ~metasenv ~subst ~context ty_t));
+ let metasenv, subst =
+ unify rdb false metasenv subst context ty_t ty false in
+ delift_to_subst test_eq_only n lc (attrs,cc,ty) t
+ context metasenv subst
+ | _ -> assert false)
+ | `IsType
+ | `IsTerm ->
+ (match ty with
+ NCic.Implicit (`Typeof _) ->
+ let (metasenv, subst), ty_t =
+ try
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ let ind = !indent in
+ let res = try Some (unify rdb test_eq_only m s c t1 t2 false )
+ with UnificationFailure _ | Uncertain _ -> None
+ in
+ indent := ind; res)
+ metasenv subst context n lc ty_t
+ with NCicMetaSubst.Uncertain msg ->
+ pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
+ raise (Uncertain msg)
+ | NCicMetaSubst.MetaSubstFailure msg ->
+ pp (lazy ("delift fails: " ^ Lazy.force msg));
+ raise (UnificationFailure msg)
+ in
+ delift_to_subst test_eq_only n lc (attrs,cc,ty_t) t context metasenv
+ subst
+ | _ ->
+ let lty = NCicSubstitution.subst_meta lc ty in
+ pp (lazy ("On the types: " ^
+ ppterm ~metasenv ~subst ~context ty_t ^ "=<=" ^
+ ppterm ~metasenv ~subst ~context lty));
+ let metasenv, subst =
+ unify rdb false metasenv subst context ty_t lty false
+ in
+ delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv
+ subst)
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+
+and unify rdb test_eq_only metasenv subst context t1 t2 swap =
(*D*) inside 'U'; try let rc =
- let rec fo_unif test_eq_only metasenv subst t1 t2 =
- let try_hints metasenv subst context t1 t2 (* exc*) =
- let candidates = NCicUnifHint.look_for_hint hdb metasenv subst context t1 t2
- in
- let rec cand_iter = function
- | [] -> None (* raise exc *)
- | (metasenv,c1,c2)::tl ->
- try
- prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t1);
- prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context c1);
- prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t2);
- prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context c2);
- let metasenv,subst = fo_unif test_eq_only metasenv subst t1 c1 in
- let metasenv,subst = fo_unif test_eq_only metasenv subst c2 t2 in
- Some (fo_unif test_eq_only metasenv subst t1 t2)
- with
- UnificationFailure _ | Uncertain _ -> cand_iter tl
- in
- cand_iter candidates
- in
-
+ let fo_unif test_eq_only metasenv subst (norm1,t1) (norm2,t2) =
(*D*) inside 'F'; try let rc =
- pp (lazy(" " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " === " ^
- NCicPp.ppterm ~metasenv ~subst ~context t2));
+ pp (lazy(" " ^ ppterm ~metasenv ~subst ~context t1 ^
+ (if swap then " ==>?== "
+ else " ==<?==" ) ^
+ ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
+ ~subst metasenv));
+ pp (lazy(" " ^ ppterm ~metasenv ~subst:[] ~context t1 ^
+ (if swap then " ==>??== "
+ else " ==<??==" ) ^
+ ppterm ~metasenv ~subst:[] ~context t2 ^ ppmetasenv
+ ~subst metasenv));
if t1 === t2 then
metasenv, subst
+(* CSC: To speed up Oliboni's stuff. Why is it necessary, anyway?
+ else if
+ NCicUntrusted.metas_of_term subst context t1 = [] &&
+ NCicUntrusted.metas_of_term subst context t2 = []
+ then
+ if NCicReduction.are_convertible ~metasenv ~subst context t1 t2 then
+ metasenv,subst
+ else
+ raise (UnificationFailure (lazy "Closed terms not convertible"))
+*)
else
- match (try_hints metasenv subst context t1 t2) with
- | Some x -> x
- | None ->
- match (t1,t2) with
- | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
- if NCicEnvironment.universe_leq a b then metasenv, subst
- else raise (fail_exc metasenv subst context t1 t2)
- | (C.Sort (C.Type a), C.Sort (C.Type b)) ->
- if NCicEnvironment.universe_eq a b then metasenv, subst
- else raise (fail_exc metasenv subst context t1 t2)
- | (C.Sort C.Prop,C.Sort (C.Type _)) ->
- if (not test_eq_only) then metasenv, subst
- else raise (fail_exc metasenv subst context t1 t2)
-
- | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2))
- | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
- let metasenv, subst = unify hdb true metasenv subst context s1 s2 in
- unify hdb test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2
- | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
- let metasenv,subst=unify hdb test_eq_only metasenv subst context ty1 ty2 in
- let metasenv,subst=unify hdb test_eq_only metasenv subst context s1 s2 in
- let context = (name1, C.Def (s1,ty1))::context in
- unify hdb test_eq_only metasenv subst context t1 t2
-
- | (C.Meta (n1,(s1,l1 as lc1)),C.Meta (n2,(s2,l2 as lc2))) when n1 = n2 ->
- (try
- let l1 = NCicUtils.expand_local_context l1 in
- let l2 = NCicUtils.expand_local_context l2 in
- let metasenv, subst, to_restrict, _ =
- List.fold_right2
- (fun t1 t2 (metasenv, subst, to_restrict, i) ->
- try
- let metasenv, subst =
- unify hdb test_eq_only metasenv subst context
- (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
- in
- metasenv, subst, to_restrict, i-1
- with UnificationFailure _ | Uncertain _ ->
- metasenv, subst, i::to_restrict, i-1)
- l1 l2 (metasenv, subst, [], List.length l1)
- in
- if to_restrict <> [] then
- let metasenv, subst, _ =
- NCicMetaSubst.restrict metasenv subst n1 to_restrict
- in
- metasenv, subst
- else metasenv, subst
- with
- | Invalid_argument _ -> assert false
- | NCicMetaSubst.MetaSubstFailure msg ->
+ match (t1,t2) with
+ | C.Appl [_], _ | _, C.Appl [_] | C.Appl [], _ | _, C.Appl []
+ | C.Appl (C.Appl _::_), _ | _, C.Appl (C.Appl _::_) ->
+ prerr_endline "Appl [Appl _;_] or Appl [] or Appl [_] invariant";
+ assert false
+ | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
+ let a, b = if swap then b,a else a,b in
+ if NCicEnvironment.universe_leq a b then metasenv, subst
+ else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ | (C.Sort (C.Type a), C.Sort (C.Type b)) ->
+ if NCicEnvironment.universe_eq a b then metasenv, subst
+ else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ | (C.Sort C.Prop,C.Sort (C.Type _)) when not swap ->
+ if (not test_eq_only) then metasenv, subst
+ else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ | (C.Sort (C.Type _), C.Sort C.Prop) when swap ->
+ if (not test_eq_only) then metasenv, subst
+ else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+
+ | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2))
+ | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
+ let metasenv, subst = unify rdb true metasenv subst context s1 s2 swap in
+ unify rdb test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2 swap
+ | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
+ let metasenv,subst=unify rdb test_eq_only metasenv subst context ty1 ty2 swap in
+ let metasenv,subst=unify rdb test_eq_only metasenv subst context s1 s2 swap in
+ let context = (name1, C.Def (s1,ty1))::context in
+ unify rdb test_eq_only metasenv subst context t1 t2 swap
+
+ | (C.Meta (n1,(s1,l1 as lc1)),C.Meta (n2,(s2,l2 as lc2))) when n1 = n2 ->
+ (try
+ let l1 = NCicUtils.expand_local_context l1 in
+ let l2 = NCicUtils.expand_local_context l2 in
+ let metasenv, subst, to_restrict, _ =
+ List.fold_right2
+ (fun t1 t2 (metasenv, subst, to_restrict, i) ->
try
- let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
- let term1 = NCicSubstitution.subst_meta lc1 term in
- let term2 = NCicSubstitution.subst_meta lc2 term in
- unify hdb test_eq_only metasenv subst context term1 term2
- with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
-
- | C.Meta (n,lc), t ->
- (try
- let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify hdb test_eq_only metasenv subst context term t
- with NCicUtils.Subst_not_found _->
- instantiate hdb test_eq_only metasenv subst context n lc t false)
-
- | t, C.Meta (n,lc) ->
- (try
- let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify hdb test_eq_only metasenv subst context t term
- with NCicUtils.Subst_not_found _->
- instantiate hdb test_eq_only metasenv subst context n lc t true)
-
- | NCic.Appl (NCic.Meta (i,l)::args), _ when List.mem_assoc i subst ->
- let _,_,term,_ = NCicUtils.lookup_subst i subst in
- let term = NCicSubstitution.subst_meta l term in
- unify hdb test_eq_only metasenv subst context (mk_appl term args) t2
-
- | _, NCic.Appl (NCic.Meta (i,l)::args) when List.mem_assoc i subst ->
- let _,_,term,_ = NCicUtils.lookup_subst i subst in
- let term = NCicSubstitution.subst_meta l term in
- unify hdb test_eq_only metasenv subst context t1 (mk_appl term args)
-
- | NCic.Appl (NCic.Meta (i,_)::_ as l1),
- NCic.Appl (NCic.Meta (j,_)::_ as l2) when i=j ->
- (try
- List.fold_left2
- (fun (metasenv, subst) t1 t2 ->
- unify hdb test_eq_only metasenv subst context t1 t2)
- (metasenv,subst) l1 l2
- with Invalid_argument _ ->
- raise (fail_exc metasenv subst context t1 t2))
-
- | NCic.Appl (NCic.Meta (i,l)::args), _ when not (flexible args) ->
- (* we verify that none of the args is a Meta,
- since beta expanding w.r.t a metavariable makes no sense *)
- let metasenv, subst, beta_expanded =
- beta_expand_many hdb
- test_eq_only false
- metasenv subst context t2 args
- in
- unify hdb test_eq_only metasenv subst context
- (C.Meta (i,l)) beta_expanded
-
- | _, NCic.Appl (NCic.Meta (i,l)::args) when not(flexible args) ->
- let metasenv, subst, beta_expanded =
- beta_expand_many hdb
- test_eq_only true
- metasenv subst context t1 args
- in
- unify hdb test_eq_only metasenv subst context
- beta_expanded (C.Meta (i,l))
-
- (* processing this case here we avoid a useless small delta step *)
- | (C.Appl ((C.Const r1) as _hd1::tl1), C.Appl (C.Const r2::tl2))
- when Ref.eq r1 r2 ->
- let relevance = NCicEnvironment.get_relevance r1 in
- let relevance = match r1 with
- | Ref.Ref (_,Ref.Con (_,_,lno)) ->
- let _,relevance = HExtlib.split_nth lno relevance in
- HExtlib.mk_list false lno @ relevance
- | _ -> relevance
+ let metasenv, subst =
+ unify rdb (*test_eq_only*) true metasenv subst context
+ (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
+ swap
+ in
+ metasenv, subst, to_restrict, i-1
+ with UnificationFailure _ | Uncertain _ ->
+ metasenv, subst, i::to_restrict, i-1)
+ l1 l2 (metasenv, subst, [], List.length l1)
+ in
+ if to_restrict <> [] then
+ let metasenv, subst, _, _ =
+ NCicMetaSubst.restrict metasenv subst n1 to_restrict
in
- let metasenv, subst, _ =
- try
- List.fold_left2
- (fun (metasenv, subst, relevance) t1 t2 ->
- let b, relevance =
- match relevance with b::tl -> b,tl | _ -> true, [] in
- let metasenv, subst =
- try unify hdb test_eq_only metasenv subst context t1 t2
- with UnificationFailure _ | Uncertain _ when not b ->
- metasenv, subst
- in
- metasenv, subst, relevance)
- (metasenv, subst, relevance) tl1 tl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2)
- in
metasenv, subst
-
- | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
- C.Match (ref2,outtype2,term2,pl2)) ->
- let _,_,itl,_,_ = NCicEnvironment.get_checked_indtys ref1 in
- let _,_,ty,_ = List.nth itl tyno in
- let rec remove_prods ~subst context ty =
- let ty = NCicReduction.whd ~subst context ty in
- match ty with
- | C.Sort _ -> ty
- | C.Prod (name,so,ta) ->
- remove_prods ~subst ((name,(C.Decl so))::context) ta
- | _ -> assert false
- in
- let is_prop =
- match remove_prods ~subst [] ty with
- | C.Sort C.Prop -> true
- | _ -> false
+ else metasenv, subst
+ with
+ | Invalid_argument _ -> assert false
+ | NCicMetaSubst.MetaSubstFailure msg ->
+ try
+ let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
+ let term1 = NCicSubstitution.subst_meta lc1 term in
+ let term2 = NCicSubstitution.subst_meta lc2 term in
+ unify rdb test_eq_only metasenv subst context term1 term2 swap
+ with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
+
+ | NCic.Appl (NCic.Meta (i,_)::_ as l1),
+ NCic.Appl (NCic.Meta (j,_)::_ as l2) when i=j ->
+ (try
+ List.fold_left2
+ (fun (metasenv, subst) t1 t2 ->
+ unify rdb (*test_eq_only*) true metasenv subst context t1
+ t2 swap)
+ (metasenv,subst) l1 l2
+ with Invalid_argument _ ->
+ raise (UnificationFailure (mk_msg metasenv subst context t1 t2)))
+
+ | _, NCic.Meta (n, _) when is_locked n subst && not swap->
+ (let (metasenv, subst), i =
+ match NCicReduction.whd ~subst context t1 with
+ | NCic.Appl (NCic.Meta (i,l) as meta :: args) ->
+ let metasenv, lambda_Mj =
+ lambda_intros rdb metasenv subst context (List.length args)
+ (NCicTypeChecker.typeof ~metasenv ~subst context meta)
+ in
+ unify rdb test_eq_only metasenv subst context
+ (C.Meta (i,l)) lambda_Mj false,
+ i
+ | NCic.Meta (i,_) -> (metasenv, subst), i
+ | _ ->
+ raise (UnificationFailure (lazy "Locked term vs non
+ flexible term; probably not saturated enough yet!"))
in
- let rec remove_prods ~subst context ty =
- let ty = NCicReduction.whd ~subst context ty in
- match ty with
- | C.Sort _ -> ty
- | C.Prod (name,so,ta) ->
- remove_prods ~subst ((name,(C.Decl so))::context) ta
- | _ -> assert false
- in
- if not (Ref.eq ref1 ref2) then
- raise (uncert_exc metasenv subst context t1 t2)
- else
+ let t1 = NCicReduction.whd ~subst context t1 in
+ let j, lj =
+ match t1 with NCic.Meta (j,l) -> j, l | _ -> assert false
+ in
+ let metasenv, subst =
+ instantiate rdb test_eq_only metasenv subst context j lj t2 true
+ in
+ (* We need to remove the out_scope_tags to avoid propagation of
+ them that triggers again the ad-hoc case *)
+ let subst =
+ List.map (fun (i,(tag,ctx,bo,ty)) ->
+ let tag =
+ List.filter
+ (function `InScope | `OutScope _ -> false | _ -> true) tag
+ in
+ i,(tag,ctx,bo,ty)
+ ) subst
+ in
+ (try
+ let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
+ let term = eta_reduce subst term in
+ let subst = List.filter (fun (j,_) -> j <> i) subst in
+ metasenv, ((i, (name, ctx, term, ty)) :: subst)
+ with Not_found -> assert false))
+ | NCic.Meta (n, _), _ when is_locked n subst && swap ->
+ unify rdb test_eq_only metasenv subst context t2 t1 false
+
+ | t, C.Meta (n,lc) when List.mem_assoc n subst ->
+ let _,_,term,_ = NCicUtils.lookup_subst n subst in
+ let term = NCicSubstitution.subst_meta lc term in
+ unify rdb test_eq_only metasenv subst context t term swap
+ | C.Meta (n,_), _ when List.mem_assoc n subst ->
+ unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+
+ | _, NCic.Appl (NCic.Meta (i,l)::args) when List.mem_assoc i subst ->
+ let _,_,term,_ = NCicUtils.lookup_subst i subst in
+ let term = NCicSubstitution.subst_meta l term in
+ unify rdb test_eq_only metasenv subst context t1
+ (mk_appl ~upto:(List.length args) term args) swap
+ | NCic.Appl (NCic.Meta (i,_)::_), _ when List.mem_assoc i subst ->
+ unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+
+ | C.Meta (n,_), C.Meta (m,lc') when
+ let _,cc1,_ = NCicUtils.lookup_meta n metasenv in
+ let _,cc2,_ = NCicUtils.lookup_meta m metasenv in
+ (n < m && cc1 = cc2) ||
+ let len1 = List.length cc1 in
+ let len2 = List.length cc2 in
+ len2 < len1 && cc2 = fst (HExtlib.split_nth len2 cc1) ->
+ instantiate rdb test_eq_only metasenv subst context m lc'
+ (NCicReduction.head_beta_reduce ~subst t1) (not swap)
+ | C.Meta (n,lc), C.Meta (m,lc') when
+ let _,_,tyn = NCicUtils.lookup_meta n metasenv in
+ let _,_,tym = NCicUtils.lookup_meta m metasenv in
+ let tyn = NCicSubstitution.subst_meta lc tyn in
+ let tym = NCicSubstitution.subst_meta lc tym in
+ match tyn,tym with
+ NCic.Sort NCic.Type u1, NCic.Sort NCic.Type u2 ->
+ NCicEnvironment.universe_lt u1 u2
+ | _,_ -> false ->
+ instantiate rdb test_eq_only metasenv subst context m lc'
+ (NCicReduction.head_beta_reduce ~subst t1) (not swap)
+ | C.Meta (n,lc), t ->
+ instantiate rdb test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce ~subst t) swap
+ | t, C.Meta (n,lc) ->
+ instantiate rdb test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce ~subst t) (not swap)
+
+ (* higher order unification case *)
+ | NCic.Appl (NCic.Meta (i,l) as meta :: args), _ ->
+ (* this easy_case handles "(? ?) =?= (f a)", same number of
+ * args, preferring the instantiation "f" over "\_.f a" for the
+ * metavariable in head position. Since the arguments of the meta
+ * are flexible, delift would ignore them generating a constant
+ * function even in the easy case above *)
+ let easy_case =
+ match t2 with
+ | NCic.Appl (f :: f_args)
+ when
+ List.exists (NCicMetaSubst.is_flexible context ~subst) args ->
+ let mlen = List.length args in
+ let flen = List.length f_args in
+ let min_len = min mlen flen in
+ let mhe,margs = HExtlib.split_nth (mlen - min_len) args in
+ let fhe,fargs = HExtlib.split_nth (flen - min_len) f_args in
+ (try
+ Some (List.fold_left2
+ (fun (m, s) t1 t2 ->
+ unify rdb test_eq_only m s context t1 t2 swap
+ ) (metasenv,subst)
+ ((NCicUntrusted.mk_appl meta mhe)::margs)
+ ((NCicUntrusted.mk_appl f fhe)::fargs))
+ with UnificationFailure _ | Uncertain _ | KeepReducing _ ->
+ None)
+ | _ -> None
+ in
+ (match easy_case with
+ | Some ms -> ms
+ | None ->
+ (* This case handles "(?_f ..ti..) =?= t2", abstracting every
+ * non flexible ti (delift skips local context items that are
+ * flexible) from t2 in two steps:
+ * 1) ?_f := \..xi.. .?
+ * 2) ?_f ..ti.. =?= t2 --unif_machines-->
+ ?_f[..ti..] =?= t2 --instantiate-->
+ delift [..ti..] t2 *)
+ let metasenv, lambda_Mj =
+ lambda_intros rdb metasenv subst context (List.length args)
+ (NCicTypeChecker.typeof ~metasenv ~subst context meta)
+ in
let metasenv, subst =
- unify hdb test_eq_only metasenv subst context outtype1 outtype2 in
+ unify rdb test_eq_only metasenv subst context
+ (C.Meta (i,l)) lambda_Mj swap
+ in
let metasenv, subst =
- try unify hdb test_eq_only metasenv subst context term1 term2
- with UnificationFailure _ | Uncertain _ when is_prop ->
- metasenv, subst
+ unify rdb test_eq_only metasenv subst context t1 t2 swap
in
(try
- List.fold_left2
- (fun (metasenv,subst) ->
- unify hdb test_eq_only metasenv subst context)
- (metasenv, subst) pl1 pl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2))
- | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
- | _ when NCicUntrusted.metas_of_term subst context t1 = [] &&
- NCicUntrusted.metas_of_term subst context t2 = [] ->
- raise (fail_exc metasenv subst context t1 t2)
- | _ -> raise (uncert_exc metasenv subst context t1 t2)
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
+ let term = eta_reduce subst term in
+ let subst = List.filter (fun (j,_) -> j <> i) subst in
+ metasenv, ((i, (name, ctx, term, ty)) :: subst)
+ with Not_found -> assert false))
+
+ | _, NCic.Appl (NCic.Meta (_,_) :: _) ->
+ unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
+
+ (* processing this case here we avoid a useless small delta step *)
+ | (C.Appl ((C.Const r1) as _hd1::tl1), C.Appl (C.Const r2::tl2))
+ when Ref.eq r1 r2 ->
+ let relevance = NCicEnvironment.get_relevance r1 in
+ let metasenv, subst, _ =
+ try
+ List.fold_left2
+ (fun (metasenv, subst, relevance) t1 t2 ->
+ let b, relevance =
+ match relevance with b::tl -> b,tl | _ -> true, [] in
+ let metasenv, subst =
+ try unify rdb test_eq_only metasenv subst context t1 t2
+ swap
+ with UnificationFailure _ | Uncertain _ when not b ->
+ metasenv, subst
+ in
+ metasenv, subst, relevance)
+ (metasenv, subst, relevance) tl1 tl2
+ with
+ Invalid_argument _ ->
+ raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ | KeepReducing _ | KeepReducingThis _ -> assert false
+ in
+ metasenv, subst
+
+ | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
+ C.Match (ref2,outtype2,term2,pl2)) when Ref.eq ref1 ref2 ->
+ let _,_,itl,_,_ = NCicEnvironment.get_checked_indtys ref1 in
+ let _,_,ty,_ = List.nth itl tyno in
+ let rec remove_prods ~subst context ty =
+ let ty = NCicReduction.whd ~subst context ty in
+ match ty with
+ | C.Sort _ -> ty
+ | C.Prod (name,so,ta) ->
+ remove_prods ~subst ((name,(C.Decl so))::context) ta
+ | _ -> assert false
+ in
+ let is_prop =
+ match remove_prods ~subst [] ty with
+ | C.Sort C.Prop -> true
+ | _ -> false
+ in
+ (* if not (Ref.eq ref1 ref2) then
+ raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ else*)
+ let metasenv, subst =
+ unify rdb test_eq_only metasenv subst context outtype1 outtype2 swap in
+ let metasenv, subst =
+ try unify rdb test_eq_only metasenv subst context term1 term2 swap
+ with UnificationFailure _ | Uncertain _ when is_prop ->
+ metasenv, subst
+ in
+ (try
+ List.fold_left2
+ (fun (metasenv,subst) t1 t2 ->
+ unify rdb test_eq_only metasenv subst context t1 t2 swap)
+ (metasenv, subst) pl1 pl2
+ with Invalid_argument _ -> assert false)
+ | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
+ | _ when norm1 && norm2 ->
+ if (could_reduce t1 || could_reduce t2) then
+ raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ else
+ raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
+ | _ -> raise (KeepReducing (mk_msg metasenv subst context t1 t2))
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ in
+ let fo_unif test_eq_only metasenv subst (norm1,t1 as nt1) (norm2,t2 as nt2)=
+ try fo_unif test_eq_only metasenv subst nt1 nt2
+ with
+ UnificationFailure _ | Uncertain _ when not norm1 || not norm2 ->
+ raise (KeepReducing (mk_msg metasenv subst context t1 t2))
+ in
+ let try_hints metasenv subst (_,t1 as mt1) (_,t2 as mt2) (* exc*) =
+ if NCicUntrusted.metas_of_term subst context t1 = [] &&
+ NCicUntrusted.metas_of_term subst context t2 = []
+ then None
+ else begin
+ (*D*) inside 'H'; try let rc =
+ pp(lazy ("\nProblema:\n" ^
+ ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
+ ppterm ~metasenv ~subst ~context t2));
+ let candidates =
+ NCicUnifHint.look_for_hint rdb metasenv subst context t1 t2
+ in
+ let rec cand_iter = function
+ | [] -> None (* raise exc *)
+ | (metasenv,(c1,c2),premises)::tl ->
+ pp (lazy ("\nProvo il candidato:\n" ^
+ String.concat "\n"
+ (List.map
+ (fun (a,b) ->
+ ppterm ~metasenv ~subst ~context a ^ " =?= " ^
+ ppterm ~metasenv ~subst ~context b) premises) ^
+ "\n-------------------------------------------\n"^
+ ppterm ~metasenv ~subst ~context c1 ^ " = " ^
+ ppterm ~metasenv ~subst ~context c2));
+ try
+ (*D*) inside 'K'; try let rc =
+ let metasenv,subst =
+ fo_unif test_eq_only metasenv subst mt1 (false,c1) in
+ let metasenv,subst =
+ fo_unif test_eq_only metasenv subst (false,c2) mt2 in
+ let metasenv,subst =
+ List.fold_left
+ (fun (metasenv, subst) (x,y) ->
+ unify rdb test_eq_only metasenv subst context x y false)
+ (metasenv, subst) (List.rev premises)
+ in
+ pp(lazy("FUNZIONA!"));
+ Some (metasenv, subst)
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ with
+ KeepReducing _ | UnificationFailure _ | Uncertain _ -> cand_iter tl
+ | KeepReducingThis _ -> assert false
+ in
+ cand_iter candidates
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ end
+ in
+ let put_in_whd m1 m2 =
+ NCicReduction.reduce_machine ~delta:max_int ~subst context m1,
+ NCicReduction.reduce_machine ~delta:max_int ~subst context m2
+ in
+ let fo_unif_w_hints test_eq_only metasenv subst (_,t1 as m1) (_,t2 as m2) =
+ try fo_unif test_eq_only metasenv subst m1 m2
+ with
+ | UnificationFailure _ as exn -> raise exn
+ | KeepReducing _ | Uncertain _ as exn ->
+ let (t1,norm1 as tm1),(t2,norm2 as tm2) =
+ put_in_whd (0,[],t1,[]) (0,[],t2,[])
+ in
+ match
+ try_hints metasenv subst
+ (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
+ with
+ | Some x -> x
+ | None ->
+ match exn with
+ | KeepReducing msg -> raise (KeepReducingThis (msg,tm1,tm2))
+ | Uncertain _ as exn -> raise exn
+ | _ -> assert false
+ in
+ let fo_unif_heads_and_cont_or_unwind_and_hints
+ test_eq_only metasenv subst m1 m2 cont hm1 hm2
+ =
+ let ms, continuation =
+ (* calling the continuation inside the outermost try is an option
+ and makes unification stronger, but looks not frequent to me
+ that heads unify but not the arguments and that an hints can fix
+ that *)
+ try fo_unif test_eq_only metasenv subst m1 m2, cont
+ with
+ | UnificationFailure _
+ | KeepReducing _ | Uncertain _ as exn ->
+ let (t1,norm1),(t2,norm2) = hm1, hm2 in
+ match
+ try_hints metasenv subst
+ (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
+ with
+ | Some x -> x, fun x -> x
+ | None ->
+ match exn with
+ | KeepReducing msg -> raise (KeepReducingThis (msg,hm1,hm2))
+ | UnificationFailure _ | Uncertain _ as exn -> raise exn
+ | _ -> assert false
+ in
+ continuation ms
in
let height_of = function
| NCic.Const (Ref.Ref (_,Ref.Def h))
| NCic.Appl(NCic.Const(Ref.Ref(_,Ref.Fix (_,_,h)))::_) -> h
| _ -> 0
in
- let put_in_whd m1 m2 =
- NCicReduction.reduce_machine ~delta:max_int ~subst context m1,
- NCicReduction.reduce_machine ~delta:max_int ~subst context m2
- in
- let small_delta_step
+ let small_delta_step ~subst
((_,_,t1,_ as m1, norm1) as x1) ((_,_,t2,_ as m2, norm2) as x2)
=
assert (not (norm1 && norm2));
if norm1 then
- x1,NCicReduction.reduce_machine ~delta:(height_of t2 -1) ~subst context m2
+ x1,NCicReduction.reduce_machine ~delta:0 ~subst context m2
else if norm2 then
- NCicReduction.reduce_machine ~delta:(height_of t1 -1) ~subst context m1,x2
+ NCicReduction.reduce_machine ~delta:0 ~subst context m1,x2
else
let h1 = height_of t1 in
let h2 = height_of t2 in
function
| ((k1,e1,t1,s1),norm1 as m1),((k2,e2,t2,s2),norm2 as m2) ->
(*D*) inside 'M'; try let rc =
-(*
- pp (lazy((if are_normal then "*" else " ") ^ " " ^
- NCicPp.ppterm ~metasenv ~subst ~context (NCicReduction.unwind m1) ^
+ pp (lazy("UM: " ^
+ ppterm ~metasenv ~subst ~context
+ (NCicReduction.unwind (k1,e1,t1,s1)) ^
" === " ^
- NCicPp.ppterm ~metasenv ~subst ~context (NCicReduction.unwind m2)));
-*)
+ ppterm ~metasenv ~subst ~context
+ (NCicReduction.unwind (k2,e2,t2,s2))));
+ pp (lazy (string_of_bool norm1 ^ " ?? " ^ string_of_bool norm2));
let relevance = [] (* TO BE UNDERSTOOD
match t1 with
| C.Const r -> NCicEnvironment.get_relevance r
| _ -> [] *) in
- let unif_from_stack t1 t2 b metasenv subst =
+ let unif_from_stack (metasenv, subst) (t1, t2, b) =
try
- let t1 = NCicReduction.from_stack t1 in
- let t2 = NCicReduction.from_stack t2 in
+ let t1 = NCicReduction.from_stack ~delta:max_int t1 in
+ let t2 = NCicReduction.from_stack ~delta:max_int t2 in
unif_machines metasenv subst (put_in_whd t1 t2)
with UnificationFailure _ | Uncertain _ when not b ->
metasenv, subst
NCicReduction.unwind (k2,e2,t2,List.rev l2),
todo
in
- let hh1,hh2,todo=check_stack (List.rev s1) (List.rev s2) relevance [] in
+ let check_stack l1 l2 r =
+ match t1, t2 with
+ | NCic.Meta _, _ | _, NCic.Meta _ ->
+ (NCicReduction.unwind (k1,e1,t1,s1)),
+ (NCicReduction.unwind (k2,e2,t2,s2)),[]
+ | _ -> check_stack l1 l2 r []
+ in
+ let hh1,hh2,todo = check_stack (List.rev s1) (List.rev s2) relevance in
try
- let metasenv,subst = fo_unif test_eq_only metasenv subst hh1 hh2 in
- List.fold_left
- (fun (metasenv,subst) (x1,x2,r) ->
- unif_from_stack x1 x2 r metasenv subst
- ) (metasenv,subst) todo
- with UnificationFailure _ | Uncertain _ when not (norm1 && norm2) ->
- unif_machines metasenv subst (small_delta_step m1 m2)
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ fo_unif_heads_and_cont_or_unwind_and_hints
+ test_eq_only metasenv subst (norm1,hh1) (norm2,hh2)
+ (fun ms -> List.fold_left unif_from_stack ms todo)
+ m1 m2
+ with
+ | KeepReducing _ -> assert false
+ | KeepReducingThis _ ->
+ assert (not (norm1 && norm2));
+ unif_machines metasenv subst (small_delta_step ~subst m1 m2)
+ | UnificationFailure _ | Uncertain _ when (not (norm1 && norm2))
+ -> unif_machines metasenv subst (small_delta_step ~subst m1 m2)
+ | UnificationFailure msg
+ when could_reduce (NCicReduction.unwind (fst m1))
+ || could_reduce (NCicReduction.unwind (fst m2))
+ -> raise (Uncertain msg)
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
in
- try fo_unif test_eq_only metasenv subst t1 t2
- with UnificationFailure msg | Uncertain msg as exn ->
- try
- unif_machines metasenv subst
- (put_in_whd (0,[],t1,[]) (0,[],t2,[]))
- with
- | UnificationFailure _ -> raise (UnificationFailure msg)
- | Uncertain _ -> raise exn
- (*D*) in outside(); rc with exn -> outside (); raise exn
+ try fo_unif_w_hints test_eq_only metasenv subst (false,t1) (false,t2)
+ with
+ | KeepReducingThis (msg,tm1,tm2) ->
+ (try
+ unif_machines metasenv subst (tm1,tm2)
+ with
+ | UnificationFailure _ -> raise (UnificationFailure msg)
+ | Uncertain _ -> raise (Uncertain msg)
+ | KeepReducing _ -> assert false)
+ | KeepReducing _ -> assert false
+
+ (*D*) in outside None; rc with KeepReducing _ -> assert false | exn -> outside (Some exn); raise exn
+
+and delift_type_wrt_terms rdb metasenv subst context t args =
+ let lc = List.rev args @ mk_irl (List.length context) (List.length args+1) in
+ let (metasenv, subst), t =
+ try
+ NCicMetaSubst.delift
+ ~unify:(fun m s c t1 t2 ->
+ let ind = !indent in
+ let res =
+ try Some (unify rdb false m s c t1 t2 false)
+ with UnificationFailure _ | Uncertain _ -> None
+ in
+ indent := ind; res)
+ metasenv subst context 0 (0,NCic.Ctx lc) t
+ with
+ NCicMetaSubst.MetaSubstFailure _
+ | NCicMetaSubst.Uncertain _ -> (metasenv, subst), t
+ in
+ metasenv, subst, t
;;
-let unify hdb =
- indent := "";
- unify hdb false;;
+let unify rdb ?(test_eq_only=false) ?(swap=false) metasenv subst context t1 t2=
+ indent := "";
+ unify rdb test_eq_only metasenv subst context t1 t2 swap;;
+let fix_sorts m s =
+ fix m s true false (UnificationFailure (lazy "no sup"))
+;;