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 ~upto hd tl =
NCicReduction.head_beta_reduce ~upto
module C = NCic;;
module Ref = NReference;;
-let debug = false;;
+let debug = ref false;;
let indent = ref "";;
-let pp =
- if debug then
- fun s -> prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
- else
- fun _ -> ()
+let times = ref [];;
+let pp s =
+ if !debug then
+ prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
;;
let inside c =
- indent := !indent ^ String.make 1 c;
- if debug then prerr_endline ("{{{" ^ !indent ^ " ")
+ if !debug then
+ begin
+ let time1 = Unix.gettimeofday () in
+ indent := !indent ^ String.make 1 c;
+ times := time1 :: !times;
+ prerr_endline ("{{{" ^ !indent ^ " ")
+ end
;;
-let outside ok =
- if debug then prerr_endline "}}}";
- if not ok then pp (lazy "exception raised!");
- try
- indent := String.sub !indent 0 (String.length !indent -1)
- with
- Invalid_argument _ -> indent := "??"; ()
+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 ("}}} " ^ 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 ppcontext ~metasenv ~subst c =
let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "";;
let ppmetasenv ~subst:_subst _metasenv = "";;
-
-let fix_sorts swap exc 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 " ^ NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] orig) ;
- raise exc
- | 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 ppterm ~metasenv ~subst ~context = NCicPp.ppterm ~metasenv ~subst ~context;;
+(* let ppterm ~metasenv:_ ~subst:_ ~context:_ _ = "";; *)
let is_locked n subst =
try
with NCicUtils.Subst_not_found _ -> false
;;
-let rec mk_irl =
- function
- 0 -> []
- | n -> NCic.Rel n :: mk_irl (n-1)
+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 *)
| C.Appl [] | C.LetIn _ | C.Implicit _ -> assert false
;;
-let rec lambda_intros rdb metasenv subst context t args =
- let tty = NCicTypeChecker.typeof ~metasenv ~subst context t in
- let argsty =
- List.map
- (fun arg -> arg, NCicTypeChecker.typeof ~metasenv ~subst context arg) args in
- let context_of_args = context in
- let rec mk_lambda metasenv subst context n processed_args = function
- | [] ->
+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
- (`WithType (NCicSubstitution.lift n tty))
- in
- metasenv, subst, bo
- | (arg,ty)::tail ->
- pp(lazy("arg{ " ^
- NCicPp.ppterm ~metasenv ~subst ~context:context_of_args arg ^ ":" ^
- NCicPp.ppterm ~metasenv ~subst ~context:context_of_args ty));
- let metasenv, subst, telescopic_ty =
- if processed_args = [] then metasenv, subst, ty else
- let _ = pp(lazy("delift")) in
- delift_type_wrt_terms rdb metasenv subst context_of_args ty
- (List.rev processed_args)
- in
- pp(lazy("arg}"));
- let name = "HBeta"^string_of_int n in
- let metasenv, subst, bo =
- mk_lambda metasenv subst ((name,NCic.Decl telescopic_ty)::context) (n+1)
- (arg::processed_args) tail
+ NCicMetaSubst.mk_meta metasenv context ~with_type:ty `IsTerm
in
- metasenv, subst, NCic.Lambda (name, telescopic_ty, bo)
- in
- pp(lazy("LAMBDA_INTROS{ " ^
- NCicPp.ppterm ~metasenv ~subst ~context t ^ ":" ^
- NCicPp.ppterm ~metasenv ~subst ~context tty ^ " over " ^
- String.concat "," (List.map (NCicPp.ppterm ~metasenv ~subst ~context)args)));
- let rc = mk_lambda metasenv subst context 0 [] argsty in
- pp(lazy("LAMBDA_INTROS}"));
- rc
-
-and 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 rdb test_eq_only m s c t2 t1
- else unify rdb test_eq_only m s c t1 t2
- in
- let has_tag = List.exists in
- let tags, _, ty = NCicUtils.lookup_meta n metasenv in
- (* on the types *)
- let metasenv, subst, t =
- match ty with
- | NCic.Implicit (`Typeof _) ->
- pp(lazy("meta with no type"));
- assert(has_tag ((=)`IsSort) tags);
- metasenv, subst, t
- | _ ->
- let exc_to_be = fail_exc metasenv subst context (NCic.Meta (n,lc)) t in
- let t, ty_t =
- try t, NCicTypeChecker.typeof ~subst ~metasenv context t
- with
- | NCicTypeChecker.AssertFailure msg as exn ->
- pp(lazy("we try to fix the sort\n"^
- Lazy.force msg^"\n"^NCicPp.ppmetasenv ~subst metasenv));
- let ft = fix_sorts swap exc_to_be t in
- pp(lazy("unable to fix the sort"));
- if ft == t then raise exn;
- (try ft, NCicTypeChecker.typeof ~subst ~metasenv context ft
- with NCicTypeChecker.AssertFailure _ -> raise exn)
- | NCicTypeChecker.TypeCheckerFailure msg ->
- prerr_endline (Lazy.force msg);
- prerr_endline (NCicPp.ppterm ~metasenv ~subst ~context t);
- prerr_endline (ppcontext ~metasenv ~subst context);
- prerr_endline (ppmetasenv ~subst metasenv);
- assert false
- in
- match ty_t with
- | NCic.Implicit (`Typeof _) ->
- raise (UnificationFailure(lazy "trying to unify a term with a type"))
- | _ ->
- let lty = NCicSubstitution.subst_meta lc ty in
- pp (lazy ("On the types: " ^
- NCicPp.ppterm ~metasenv ~subst ~context lty ^ " === " ^
- NCicPp.ppterm ~metasenv ~subst ~context ty_t));
- let metasenv,subst =
- try unify test_eq_only metasenv subst context lty ty_t
- with NCicEnvironment.BadConstraint _ as exc ->
- let ty_t = fix_sorts swap exc_to_be ty_t in
- try unify test_eq_only metasenv subst context lty ty_t
- with
- | NCicEnvironment.BadConstraint _
- | UnificationFailure _ -> raise exc
+ 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, subst, t
- in
- (* viral sortification *)
- let is_sort metasenv subst context t =
- match NCicReduction.whd ~subst context t with
- | NCic.Meta (i,_) ->
- let tags, _, _ = NCicUtils.lookup_meta i metasenv in
- has_tag ((=) `IsSort) tags
- | NCic.Sort _ -> true
- | _ -> false
- in
- let rec sortify metasenv subst = function
- | NCic.Implicit (`Typeof _) -> assert false
- | NCic.Sort _ as t -> metasenv, subst, t, 0
- | NCic.Meta (i,_) as t ->
- let tags, context, ty = NCicUtils.lookup_meta i metasenv in
- if has_tag ((=) `IsSort) tags then metasenv, subst, t, i
- else
- let ty = NCicReduction.whd ~subst context ty in
- let metasenv, subst, ty, _ = sortify metasenv subst ty in
- let metasenv, j, m, _ =
- NCicMetaSubst.mk_meta metasenv ~attrs:[`IsSort] [] (`WithType ty)
- in
- pp(lazy("rimpiazzo " ^ string_of_int i^" con "^string_of_int j));
- let subst_entry = i, (tags, context, m, ty) in
- let subst = subst_entry :: subst in
- let metasenv = List.filter (fun x,_ -> i <> x) metasenv in
- metasenv, subst, m, j
- | NCic.Appl (NCic.Meta _ as hd :: args) as t ->
- let metasenv, subst, lambda_Mj =
- lambda_intros rdb metasenv subst context t args
- in
- let metasenv,subst= unify true metasenv subst context hd lambda_Mj in
- let t = NCicReduction.whd ~subst context t in
- let _result = sortify metasenv subst t in
- (* untested, maybe dead, code *) assert false;
- | t ->
- if could_reduce t then raise (Uncertain(lazy "not a sort"))
- else raise (UnificationFailure(lazy "not a sort"))
- in
- let metasenv, subst, _, n =
- if has_tag ((=) `IsSort) tags then
- let m,s,x,_ = sortify metasenv subst (NCicReduction.whd ~subst context t)
- in m,s,x,n
- else if is_sort metasenv subst context t then
- sortify metasenv subst (NCic.Meta (n,lc))
- else
- metasenv, subst, NCic.Rel ~-1,n
+ 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 tags, ctx, ty = NCicUtils.lookup_meta n metasenv in
- (* instantiation *)
- pp (lazy(string_of_int n ^ " := 111 = "^
- NCicPp.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 test_eq_only m s c t1 t2 )
- with UnificationFailure _ | Uncertain _ -> None
+ 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 metasenv =
+ NCicUntrusted.replace_in_metasenv n
+ (fun attrs,cc,ty -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
+ metasenv
in
- indent := ind; res)
- 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)
+ 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
+;;
+
+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 ((_,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
- ^ 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 _ ->
- let metasenv, tags =
- let rec aux = function
- | NCic.Meta (j,lc) ->
- (try
- let _, _, t, _ = NCicUtils.lookup_subst j subst in
- aux (NCicSubstitution.subst_meta lc t)
- with NCicUtils.Subst_not_found _ ->
- let tags', ctx, ty = NCicUtils.lookup_meta j metasenv in
- let metasenv = List.remove_assoc j metasenv in
- let tags = tags @ tags' in
- (j, (tags, ctx, ty)) :: metasenv, tags)
- | _ -> metasenv, tags
- in
- aux t
- in
- (* by cumulativity when unify(?,Type_i)
- * we could ? := Type_j with j <= i... *)
- let subst = (n, (tags, 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 )
+ 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 true; rc with exn -> outside false; raise exn
+ 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
+ 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 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)
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
and unify rdb test_eq_only metasenv subst context t1 t2 =
(*D*) inside 'U'; try let rc =
- let fo_unif test_eq_only metasenv subst t1 t2 =
+ 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 ^ ppmetasenv
+ pp (lazy(" " ^ ppterm ~metasenv ~subst ~context t1 ^ " ==?== " ^
+ ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
+ ~subst metasenv));
+ pp (lazy(" " ^ ppterm ~metasenv ~subst:[] ~context t1 ^ " ==??== " ^
+ 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 (t1,t2) with
| C.Appl [_], _ | _, C.Appl [_] | C.Appl [], _ | _, C.Appl []
assert false
| (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)
+ 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 (fail_exc metasenv subst context t1 t2)
+ else raise (UnificationFailure (mk_msg 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)
+ 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 term2 = NCicSubstitution.subst_meta lc2 term in
unify rdb test_eq_only metasenv subst context term1 term2
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 metasenv subst context t1 t2)
+ (metasenv,subst) l1 l2
+ with Invalid_argument _ ->
+ raise (UnificationFailure (mk_msg metasenv subst context t1 t2)))
| _, NCic.Meta (n, _) when is_locked n subst ->
(let (metasenv, subst), i =
match NCicReduction.whd ~subst context t1 with
- | NCic.Appl (NCic.Meta (i,l)::args) ->
- let metasenv, subst, lambda_Mj =
- lambda_intros rdb metasenv subst context t1 args
+ | 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,
metasenv, ((i, (name, ctx, term, ty)) :: subst)
with Not_found -> assert false))
- | C.Meta (n,lc), t ->
- (try
- let _,_,term,_ = NCicUtils.lookup_subst n subst in
- let term = NCicSubstitution.subst_meta lc term in
- unify rdb test_eq_only metasenv subst context term t
- with NCicUtils.Subst_not_found _->
- instantiate rdb test_eq_only metasenv subst context n lc
- (NCicReduction.head_beta_reduce ~subst t) false)
+ | C.Meta (n,lc), t 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 term t
- | t, C.Meta (n,lc) ->
- (try
- 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
- with NCicUtils.Subst_not_found _->
- instantiate rdb test_eq_only metasenv subst context n lc
- (NCicReduction.head_beta_reduce ~subst t) true)
+ | 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
| NCic.Appl (NCic.Meta (i,l)::args), _ when List.mem_assoc i subst ->
let _,_,term,_ = NCicUtils.lookup_subst i subst in
unify rdb test_eq_only metasenv subst context t1
(mk_appl ~upto:(List.length args) 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 rdb test_eq_only metasenv subst context t1 t2)
- (metasenv,subst) l1 l2
- with Invalid_argument _ ->
- raise (fail_exc metasenv subst context t1 t2))
+ | C.Meta (n,lc), t ->
+ instantiate rdb test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce ~subst t) false
- | NCic.Appl (NCic.Meta (i,l)::args), _ ->
- let metasenv, subst, lambda_Mj =
- lambda_intros rdb metasenv subst context t1 args
+ | t, C.Meta (n,lc) ->
+ instantiate rdb test_eq_only metasenv subst context n lc
+ (NCicReduction.head_beta_reduce ~subst t) true
+
+ | 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
let metasenv, subst =
+ try
unify rdb test_eq_only metasenv subst context
(C.Meta (i,l)) lambda_Mj
+ with UnificationFailure msg | Uncertain msg when not norm2->
+ (* failure: let's try again argument vs argument *)
+ raise (KeepReducing msg)
in
let metasenv, subst =
unify rdb test_eq_only metasenv subst context t1 t2
metasenv, ((i, (name, ctx, term, ty)) :: subst)
with Not_found -> assert false)
- | _, NCic.Appl (NCic.Meta (i,l)::args) ->
- let metasenv, subst, lambda_Mj =
- lambda_intros rdb metasenv subst context t2 args
+ | _, 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
let metasenv, subst =
+ try
unify rdb test_eq_only metasenv subst context
lambda_Mj (C.Meta (i,l))
+ with UnificationFailure msg | Uncertain msg when not norm1 ->
+ (* failure: let's try again argument vs argument *)
+ raise (KeepReducing msg)
in
let metasenv, subst =
unify rdb test_eq_only metasenv subst context t1 t2
| (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 =
- try snd (HExtlib.split_nth lno relevance)
- with Failure _ -> []
- in
- HExtlib.mk_list false lno @ relevance
- | _ -> relevance
- in
let metasenv, subst, _ =
try
List.fold_left2
in
metasenv, subst, relevance)
(metasenv, subst, relevance) tl1 tl2
- with Invalid_argument _ ->
- raise (uncert_exc metasenv subst context t1 t2)
+ with
+ Invalid_argument _ ->
+ raise (Uncertain (mk_msg metasenv subst context t1 t2))
+ | UnificationFailure _ | Uncertain _ when not (norm1 && norm2) ->
+ raise (KeepReducing (mk_msg metasenv subst context t1 t2))
+ | KeepReducing _ | KeepReducingThis _ -> assert false
in
metasenv, subst
| _ -> false
in
if not (Ref.eq ref1 ref2) then
- raise (uncert_exc metasenv subst context t1 t2)
+ raise (Uncertain (mk_msg metasenv subst context t1 t2))
else
let metasenv, subst =
unify rdb test_eq_only metasenv subst context outtype1 outtype2 in
(metasenv, subst) pl1 pl2
with Invalid_argument _ -> assert false)
| (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 true; rc with exn -> outside false; raise exn
+ | _ 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 try_hints metasenv subst t1 t2 (* exc*) =
+ let try_hints metasenv subst (_,t1 as mt1) (_,t2 as mt2) (* exc*) =
(*D*) inside 'H'; try let rc =
-(*
- prerr_endline ("\nProblema:\n" ^
- NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
- NCicPp.ppterm ~metasenv ~subst ~context t2);
-*)
+ 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
String.concat "\n"
(List.map
(fun (a,b) ->
- NCicPp.ppterm ~metasenv ~subst ~context a ^ " =?= " ^
- NCicPp.ppterm ~metasenv ~subst ~context b) premises) ^
+ ppterm ~metasenv ~subst ~context a ^ " =?= " ^
+ ppterm ~metasenv ~subst ~context b) premises) ^
"\n-------------------------------------------\n"^
- NCicPp.ppterm ~metasenv ~subst ~context c1 ^ " = " ^
- NCicPp.ppterm ~metasenv ~subst ~context c2));
+ 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 t1 c1 in
+ fo_unif test_eq_only metasenv subst mt1 (false,c1) in
let metasenv,subst =
- fo_unif test_eq_only metasenv subst c2 t2 in
+ 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)
(metasenv, subst) premises
in
+ pp(lazy("FUNZIONA!"));
Some (metasenv, subst)
- (*D*) in outside true; rc with exn -> outside false; raise exn
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
with
- UnificationFailure _ | Uncertain _ ->
- cand_iter tl
+ KeepReducing _ | UnificationFailure _ | Uncertain _ -> cand_iter tl
+ | KeepReducingThis _ -> assert false
in
cand_iter candidates
- (*D*) in outside true; rc with exn -> outside false; raise exn
+ (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
+ 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 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 ~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
| ((k1,e1,t1,s1),norm1 as m1),((k2,e2,t2,s2),norm2 as m2) ->
(*D*) inside 'M'; try let rc =
pp (lazy("UM: " ^
- NCicPp.ppterm ~metasenv ~subst ~context
+ ppterm ~metasenv ~subst ~context
(NCicReduction.unwind (k1,e1,t1,s1)) ^
" === " ^
- NCicPp.ppterm ~metasenv ~subst ~context
+ ppterm ~metasenv ~subst ~context
(NCicReduction.unwind (k2,e2,t2,s2))));
-pp (lazy (string_of_bool norm1 ^ " ?? " ^ string_of_bool norm2));
+ 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 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
+ let metasenv,subst =
+ fo_unif_w_hints test_eq_only metasenv subst (norm1,hh1) (norm2,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) ->
+ with
+ | KeepReducing _ -> assert false
+ | KeepReducingThis _ ->
+ assert (not (norm1 && norm2));
unif_machines metasenv subst (small_delta_step ~subst m1 m2)
- (*D*) in outside true; rc with exn -> outside false; raise exn
+ | 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 as exn ->
- (try
- unif_machines metasenv subst
- (put_in_whd (0,[],t1,[]) (0,[],t2,[]))
- with
- | UnificationFailure _ -> raise (UnificationFailure msg)
- | Uncertain _ -> raise exn)
- | Uncertain msg as exn ->
- match try_hints metasenv subst t1 t2 with
- | Some x -> x
- | None ->
- try
- unif_machines metasenv subst
- (put_in_whd (0,[],t1,[]) (0,[],t2,[]))
+ 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 exn
- (*D*) in outside true; rc with exn -> outside false; raise exn
+ | 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
with UnificationFailure _ | Uncertain _ -> None
in
indent := ind; res)
- metasenv subst context 0 (0,NCic.Ctx (args @
- List.rev (mk_irl (List.length context)))) t
- with NCicMetaSubst.MetaSubstFailure _ -> (metasenv, subst), t
+ metasenv subst context 0 (0,NCic.Ctx lc) t
+ with
+ NCicMetaSubst.MetaSubstFailure _
+ | NCicMetaSubst.Uncertain _ -> (metasenv, subst), t
in
metasenv, subst, t
;;
indent := "";
unify rdb test_eq_only;;
-let fix_sorts = fix_sorts true (UnificationFailure (lazy "no sup"));;
+let fix_sorts m s =
+ fix m s true false (UnificationFailure (lazy "no sup"))
+;;
projects / helm.git / blobdiff