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
NCicUntrusted.map_term_fold_a (fun _ x -> x) test_eq_only aux metasenv t
in
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 = function
- | NCic.Sort _ as orig -> metasenv, orig
- | NCic.Meta (n,lc) ->
+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
- kindfy exc metasenv subst context n lc ty kind `IsSort
- | NCic.Implicit _ -> assert false
- | _ -> raise exc
-
-and kindfy exc metasenv subst context n lc ty kind kind2 =
- match kind, ty, kind2 with
- | `IsSort, _, _ -> assert(snd lc = NCic.Irl 0); metasenv, NCic.Meta(n,lc)
- | k1, NCic.Implicit (`Typeof _), (`IsType|`IsTerm as k2) ->
- let k = NCicUntrusted.max_kind k1 k2 in
- let metasenv =
- NCicUntrusted.replace_in_metasenv n
- (fun attrs,cc,ty -> NCicUntrusted.set_kind k attrs, cc, ty) metasenv
- in
- metasenv, NCic.Meta(n,lc)
- | _, NCic.Implicit (`Typeof _), `IsSort ->
- let metasenv =
- NCicUntrusted.replace_in_metasenv n
- (fun attrs,_,ty-> NCicUntrusted.set_kind `IsSort attrs,[],ty) metasenv
- in
- metasenv, NCic.Meta (n,(0,NCic.Irl 0))
- | _, ty, `IsSort ->
- let metasenv, ty =
- sortfy exc metasenv subst (NCicReduction.whd ~subst context ty)
- in
- let metasenv =
- NCicUntrusted.replace_in_metasenv n
- (fun attrs,_,_-> NCicUntrusted.set_kind `IsSort attrs,[],ty) metasenv
- in
- metasenv, NCic.Meta (n,(0,NCic.Irl 0))
- | k1, _, k2 when NCicUntrusted.max_kind k1 k2 = k1-> metasenv, NCic.Meta(n,lc)
- | `IsTerm, ty, `IsType ->
- let metasenv, ty =
- sortfy exc metasenv subst (NCicReduction.whd ~subst context ty)
- in
- let metasenv =
- NCicUntrusted.replace_in_metasenv n
- (fun attrs,cc,_-> NCicUntrusted.set_kind `IsType attrs,cc,ty) metasenv
- in
- metasenv, NCic.Meta (n,lc)
- | _ -> assert false (* XXX *)
+ 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 metasenv =
+ NCicUntrusted.replace_in_metasenv n
+ (fun attrs,cc,ty -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
+ metasenv
+ in
+ 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 subst =
+ NCicUntrusted.replace_in_subst n
+ (fun attrs,cc,bo,ty->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 rdb 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^" :=?= "^ppterm ~metasenv ~subst ~context t));
let exc =
UnificationFailure (mk_msg metasenv subst context (NCic.Meta (n,lc)) t) in
- let move_to_subst i attrs cc t ty metasenv subst =
+ 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,(attrs, cc, t, ty)) :: subst
+ pp(lazy(string_of_int n ^ " :==> "^ ppterm ~metasenv ~subst ~context:cc t));
+ metasenv, (i,infos) :: subst
in
- let delift_to_subst test_eq_only n lc attrs cc t ty context metasenv subst =
+ 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 =
(* conjecture: always fail --> occur check *)
unify rdb test_eq_only metasenv subst context t oldt
with NCicUtils.Subst_not_found _ ->
- move_to_subst n attrs cc t ty metasenv subst
+ move_to_subst n (attrs,cc,t,ty) metasenv subst
in
- let attrs, cc, ty = NCicUtils.lookup_meta n metasenv in
- match NCicUntrusted.kind_of_meta attrs, ty, t, swap with
- | `IsSort, (NCic.Implicit (`Typeof _) as bot), NCic.Sort (NCic.Type u),false->
- pp(lazy("1"));
- let u = NCicEnvironment.inf ~strict:false u in
- let t = NCic.Sort (NCic.Type (unopt exc u)) in
- move_to_subst n attrs cc t bot metasenv subst
- | `IsSort, (NCic.Implicit (`Typeof _) as bot), NCic.Sort (NCic.Type u),true ->
- pp(lazy("2"));
- let u = NCicEnvironment.sup u in
- let t = NCic.Sort (NCic.Type (unopt exc u)) in
- move_to_subst n attrs cc t bot metasenv subst
- | `IsSort, (NCic.Sort(NCic.Type u1) as ty), NCic.Sort (NCic.Type u2), false ->
- pp(lazy("3"));
- let u =
- NCicEnvironment.inf ~strict:false (u1 @
- unopt exc (NCicEnvironment.inf ~strict:true u2))
- in
- let t = NCic.Sort (NCic.Type (unopt exc u)) in
- move_to_subst n attrs cc t ty metasenv subst
- | `IsSort, (NCic.Sort(NCic.Type u1) as ty), NCic.Sort (NCic.Type u2), true ->
- pp(lazy("4"));
- let u = unopt exc (NCicEnvironment.sup u2) in
- if NCicEnvironment.universe_lt u u1 then
- let t = NCic.Sort (NCic.Type u) in
- move_to_subst n attrs cc t ty metasenv subst
- else (raise exc)
+ 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 in
+ delift_to_subst test_eq_only n lc (attrs,cc,ty) t
+ context metasenv subst
+ | _ -> assert false)
+ | `IsType
+ | `IsTerm ->
+ (match ty,t 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 )
+ 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 lty ^ "=<=" ^
+ ppterm ~metasenv ~subst ~context ty_t));
+ let metasenv, subst =
+ unify rdb false metasenv subst context ty_t lty
+ in
+ delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv
+ subst)
+(*
| kind, ty, NCic.Meta(m,lcm), _ when List.mem_assoc m subst ->
let at,ccm,bo,tym = NCicUtils.lookup_subst m subst in
if NCicMetaSubst.is_out_scope_tag at then
NCicUntrusted.kind_of_meta at in
let lty = NCicSubstitution.subst_meta lc ty in
pp (lazy ("On the types: " ^
- ppterm ~metasenv ~subst ~context lty ^
- (if test_eq_only then " === " else "=<=") ^
+ ppterm ~metasenv ~subst ~context lty ^ "=<=" ^
ppterm ~metasenv ~subst ~context ty_t));
let metasenv, subst =
- unify rdb test_eq_only metasenv subst context ty_t lty in
+ unify rdb false metasenv subst context ty_t lty in
(*CSC: here I should call kindfy, but it fails since the second
meta in in the susbt, not the metasenv! *)
- (* let metasenv,t = kindfy exc metasenv subst ccm m lcm ty_t kindm kind in *)
+ (* let metasenv,subst,t = kindfy exc metasenv subst ccm m lcm ty_t kindm kind in *)
delift_to_subst test_eq_only n lc attrs cc t ty context metasenv subst
end
else
let bo = NCicSubstitution.subst_meta lcm bo in
instantiate rdb test_eq_only metasenv subst context n lc bo swap
- | kind, (NCic.Implicit (`Typeof _) as bot), NCic.Meta(m,lcm), _ ->
- pp(lazy("5"));
- let attrsm, ccm, tym = NCicUtils.lookup_meta m metasenv in
- let kindm = NCicUntrusted.kind_of_meta attrsm in
- let metasenv, t = kindfy exc metasenv subst ccm m lcm tym kindm kind in
- move_to_subst n attrs cc t bot metasenv subst
- | kind, ty, (NCic.Meta(m,_) as t), _ when
- let _, _, tym = NCicUtils.lookup_meta m metasenv in
- (match tym with NCic.Implicit (`Typeof _) -> true | _ -> false) ->
- pp(lazy("6"));
- let attrsm, _, _ = NCicUtils.lookup_meta m metasenv in
- let kindm = NCicUntrusted.kind_of_meta attrsm in
- let metasenv, _ = kindfy exc metasenv subst cc n lc ty kind kindm in
- let attrs, cc, ty = NCicUtils.lookup_meta n metasenv in
- let metasenv = NCicUntrusted.replace_in_metasenv m
- (fun _,_,_ -> attrs,cc,ty) metasenv
- in
- (* XXX *)move_to_subst n attrs cc t ty metasenv subst
- | kind, ty, NCic.Meta(m,lcm), _ ->
- pp(lazy("7"));
- let ty_t, ccm, kindm =
- let at, ccm, tym = NCicUtils.lookup_meta m metasenv in
- NCicSubstitution.subst_meta lcm tym, ccm, NCicUntrusted.kind_of_meta at
- in
- let lty = NCicSubstitution.subst_meta lc ty in
- pp (lazy ("On the types: " ^
- ppterm ~metasenv ~subst ~context lty ^
- (if test_eq_only then " === " else "=<=") ^
- ppterm ~metasenv ~subst ~context ty_t));
- let metasenv, subst =
- unify rdb test_eq_only metasenv subst context ty_t lty
- in
- let metasenv, t = kindfy exc metasenv subst ccm m lcm ty_t kindm kind in
- delift_to_subst test_eq_only n lc attrs cc t ty context metasenv subst
- | _, (NCic.Implicit (`Typeof _) as bot), t, swap ->
- pp(lazy("8"));
- let metasenv, t = fix metasenv subst swap test_eq_only exc t in
-(* let ty_t = NCicTypeChecker.typeof ~metasenv ~subst context t in *)
- (* ty andrebbe deliftato *)
- delift_to_subst test_eq_only n lc attrs cc t bot context metasenv subst
- | _, ty, t, swap ->
- pp(lazy("9"));
- let lty = NCicSubstitution.subst_meta lc ty in
- let metasenv, t = fix metasenv subst swap test_eq_only exc t in
- let ty_t = NCicTypeChecker.typeof ~metasenv ~subst context t in
- pp (lazy ("On the types: " ^
- ppterm ~metasenv ~subst ~context lty ^
- (if test_eq_only then " === " else "=<=") ^
- ppterm ~metasenv ~subst ~context ty_t));
- let metasenv, subst =
- unify rdb test_eq_only metasenv subst context ty_t lty
- in
- delift_to_subst test_eq_only n lc attrs cc t ty 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 =
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