(* $Id: nCicSubstitution.ml 8135 2008-02-13 15:35:43Z tassi $ *)
+exception Subst_not_found of int
+exception Meta_not_found of int
+
let expand_local_context = function
| NCic.Irl len ->
let rec aux acc = function
| NCic.Ctx lctx -> lctx
;;
-exception Subst_not_found of int
-
let lookup_subst n subst =
try
List.assoc n subst
with Not_found -> raise (Subst_not_found n)
+;;
-let fold f g acc = function
+let lookup_meta index metasenv =
+ try
+ List.find (fun (index', _, _, _) -> index = index') metasenv
+ with Not_found -> raise (Meta_not_found index)
+;;
+
+let fold g k f acc = function
+ | NCic.Meta _ -> assert false
| NCic.Implicit _
| NCic.Sort _
| NCic.Const _
- | NCic.Meta _
| NCic.Rel _ -> acc
- | NCic.Appl l -> List.fold_left f acc l
- | NCic.Prod (_,s,t)
- | NCic.Lambda (_,s,t) -> f (g (f acc s)) t
- | NCic.LetIn (_,ty,t,bo) -> f (g (f (f acc ty) t)) bo
- | NCic.Match (_,oty,t,pl) -> List.fold_left f (f (f acc oty) t) pl
+ | NCic.Appl [] | NCic.Appl [_] -> assert false
+ | NCic.Appl l -> List.fold_left (f k) acc l
+ | NCic.Prod (n,s,t)
+ | NCic.Lambda (n,s,t) -> f (g (n,NCic.Decl s) k) (f k acc s) t
+ | NCic.LetIn (n,ty,t,bo) -> f (g (n,NCic.Def (t,ty)) k) (f k (f k acc ty) t) bo
+ | NCic.Match (_,oty,t,pl) -> List.fold_left (f k) (f k (f k acc oty) t) pl
;;
let sharing_map f l =
if !unchanged then l else l1
;;
-let map f g k = function
+let map g k f = function
+ | NCic.Meta _ -> assert false
| NCic.Implicit _
| NCic.Sort _
| NCic.Const _
- | NCic.Meta _
| NCic.Rel _ as t -> t
- | NCic.Appl l -> NCic.Appl (sharing_map (f k) l)
+ | NCic.Appl [] | NCic.Appl [_] -> assert false
+ | NCic.Appl l as orig ->
+ (match sharing_map (f k) l with
+ | NCic.Appl l :: tl -> NCic.Appl (l@tl)
+ | l1 when l == l1 -> orig
+ | l1 -> NCic.Appl l1)
| NCic.Prod (n,s,t) as orig ->
- let s1 = f k s in let t1 = f (g k) t in
+ let s1 = f k s in let t1 = f (g (n,NCic.Decl s) k) t in
if t1 == t && s1 == s then orig else NCic.Prod (n,s1,t1)
| NCic.Lambda (n,s,t) as orig ->
- let s1 = f k s in let t1 = f (g k) t in
- if t1 == t && s1 == s then orig else NCic.Prod (n,s1,t1)
+ let s1 = f k s in let t1 = f (g (n,NCic.Decl s) k) t in
+ if t1 == t && s1 == s then orig else NCic.Lambda (n,s1,t1)
| NCic.LetIn (n,ty,t,b) as orig ->
- let ty1 = f k ty in let t1 = f k t in let b1 = f (g k) b in
+ let ty1 = f k ty in let t1 = f k t in
+ let b1 = f (g (n,NCic.Def (t,ty)) k) b in
if ty1 == ty && t1 == t && b1 == b then orig else NCic.LetIn (n,ty1,t1,b1)
| NCic.Match (r,oty,t,pl) as orig ->
let oty1 = f k oty in let t1 = f k t in let pl1 = sharing_map (f k) pl in
else NCic.Match(r,oty1,t1,pl1)
;;
+exception NotClosed
+
+let is_closed t =
+ try
+ let rec aux k _ = function
+ | NCic.Rel n when n > k -> raise NotClosed
+ | NCic.Meta (_, (s, NCic.Irl n)) when not (n+s <= k) -> raise NotClosed
+ | NCic.Meta (_, (s, NCic.Ctx l)) -> List.iter (aux (k+s) ()) l
+ | _ -> fold (fun _ k -> k + 1) k aux () t
+ in
+ aux 0 () t; true
+ with NotClosed -> false
+;;
+