\ / This software is distributed as is, NO WARRANTY.
V_______________________________________________________________ *)
+module U = NUri
module C = Cps
module L = Log
+module I = AutItem
module B = Bag
module O = BagOutput
module E = BagEnvironment
exception LRefNotFound of B.message
type machine = {
+ i: int;
c: B.context;
s: B.term list
}
type whd_result =
| Sort_ of int
| LRef_ of int * B.term option
- | GRef_ of int * B.bind
+ | GRef_ of B.obj
| Bind_ of int * B.id * B.term * B.term
type ho_whd_result =
| Sort of int
+ | GRef of U.uri * B.term list
| Abst of B.term
+type ac_result = (int * NUri.uri * Bag.term list) list option
+
+type extension = No | NSI
+
(* Internal functions *******************************************************)
+let term_of_whdr = function
+ | Sort_ h -> B.Sort h
+ | LRef_ (i, _) -> B.LRef i
+ | GRef_ (_, uri, _) -> B.GRef uri
+ | Bind_ (l, id, w, t) -> B.bind_abst l id w t
+
let level = 5
let error i = raise (LRefNotFound (L.items1 (string_of_int i)))
-let empty_machine = {c = B.empty_context; s = []}
+let log1 s c t =
+ let sc, st = s ^ " in the context", "the term" in
+ L.log O.specs level (L.ct_items1 sc c st t)
+
+let log2 s c u t =
+ let sc, su, st = s ^ " in the context", "the term", "and the term" in
+ L.log O.specs level (L.ct_items2 sc c su u st t)
-let contents f c m =
- let f gl ges = B.contents (f gl ges) m.c in
- B.contents f c
+let empty_machine = {i = 0; c = B.empty_context; s = []}
-let unwind_to_context f c m = B.append f c m.c
+let inc m = {m with i = succ m.i}
let unwind_to_term f m t =
let map f t (l, id, b) = f (B.Bind (l, id, b, t)) in
let f mc = C.list_fold_left f map t mc in
B.contents f m.c
+let unwind_stack f m =
+ let map f v = unwind_to_term f m v in
+ C.list_map f map m.s
+
let get f c m i =
let f = function
| Some (_, b) -> f b
| None -> error i
in
let f c = B.get f c i in
- unwind_to_context f c m
+ B.append f c m.c
let push f c m l id w =
assert (m.s = []);
let rec whd f c m x = match x with
| B.Sort h -> f m (Sort_ h)
| B.GRef uri ->
- let f (i, _, b) = f m (GRef_ (i, b)) in
+ let f obj = f m (GRef_ obj) in
E.get_obj f uri
| B.LRef i ->
let f = function
begin match m.s with
| [] -> f m (Bind_ (l, id, w, t))
| v :: tl ->
- let f mc = whd f c {c = mc; s = tl} t in
+ let f mc = whd f c {m with c = mc; s = tl} t in
B.push f m.c l id (B.Abbr (B.Cast (w, v)))
end
| B.Bind (l, id, b, t) ->
let f mc = whd f c {m with c = mc} t in
B.push f m.c l id b
+let insert f i uri vs = function
+ | Some l -> f (Some ((i, uri, vs) :: l))
+ | None -> assert false
+
(* Interface functions ******************************************************)
+let ext = ref No
+
let rec ho_whd f c m x =
let aux m = function
- | Sort_ h -> f c (Sort h)
- | Bind_ (_, _, w, _) ->
- let f c = f c (Abst w) in unwind_to_context f c m
- | LRef_ (_, Some w) -> ho_whd f c m w
- | GRef_ (_, B.Abst u) -> ho_whd f c m u
- | GRef_ (_, B.Abbr t) -> ho_whd f c m t
- | LRef_ (_, None) -> assert false
- | GRef_ (_, B.Void) -> assert false
+ | Sort_ h -> f (Sort h)
+ | Bind_ (_, _, w, _) ->
+ let f w = f (Abst w) in unwind_to_term f m w
+ | LRef_ (_, Some w) -> ho_whd f c m w
+ | GRef_ (_, uri, B.Abst w) ->
+ let h = function
+ | Abst _ as r -> f r
+ | GRef _ as r -> f r
+ | Sort _ ->
+ let f vs = f (GRef (uri, vs)) in unwind_stack f m
+ in
+ if !ext = No then ho_whd h c m w else ho_whd f c m w
+ | GRef_ (_, _, B.Abbr v) -> ho_whd f c m v
+ | LRef_ (_, None) -> assert false
+ | GRef_ (_, _, B.Void) -> assert false
in
whd aux c m x
let ho_whd f c t =
- let f c r = L.unbox (); f c r in
- L.box (); L.log O.specs level (L.ct_items1 "Now scanning" c t);
+ let f r = L.unbox level; f r in
+ L.box level; log1 "Now scanning" c t;
ho_whd f c empty_machine t
-let rec are_convertible f c m1 t1 m2 t2 =
- let rec aux m1 r1 m2 r2 = match r1, r2 with
- | Sort_ h1, Sort_ h2 -> f (h1 = h2)
- | LRef_ (i1, _), LRef_ (i2, _) ->
- if i1 = i2 then are_convertible_stacks f c m1 m2 else f false
- | GRef_ (a1, B.Abst _), GRef_ (a2, B.Abst _) ->
- if a1 = a2 then are_convertible_stacks f c m1 m2 else f false
- | GRef_ (a1, B.Abbr v1), GRef_ (a2, B.Abbr v2) ->
- if a1 = a2 then are_convertible_stacks f c m1 m2 else
+let rec are_convertible f xl c m1 t1 m2 t2 =
+ let rec aux m1 r1 m2 r2 =
+ let u, t = term_of_whdr r1, term_of_whdr r2 in
+ log2 "Now really converting" c u t;
+ match r1, r2 with
+ | Sort_ h1, Sort_ h2 ->
+ if h1 = h2 then f xl else f None
+ | LRef_ (i1, _), LRef_ (i2, _) ->
+ if i1 = i2 then are_convertible_stacks f xl c m1 m2 else f None
+ | GRef_ (a1, _, B.Abst _), GRef_ (a2, _, B.Abst _) ->
+ if a1 = a2 then are_convertible_stacks f xl c m1 m2 else f None
+ | GRef_ (a1, _, B.Abbr v1), GRef_ (a2, _, B.Abbr v2) ->
+ if a1 = a2 then are_convertible_stacks f xl c m1 m2 else
if a1 < a2 then whd (aux m1 r1) c m2 v2 else
whd (aux_rev m2 r2) c m1 v1
- | _, GRef_ (_, B.Abbr v2) ->
+ | _, GRef_ (_, _, B.Abbr v2) ->
whd (aux m1 r1) c m2 v2
- | GRef_ (_, B.Abbr v1), _ ->
+ | GRef_ (_, _, B.Abbr v1), _ ->
whd (aux_rev m2 r2) c m1 v1
- | Bind_ (l1, id1, w1, t1), Bind_ (l2, id2, w2, t2) ->
- let f b =
- if b then
- let f c =
- S.subst (are_convertible f c m1 t1 m2) l1 l2 t2
- in
- push f c m1 l1 id1 w1
- else f false
+ | Bind_ (l1, id1, w1, t1), Bind_ (l2, id2, w2, t2) ->
+ let f xl =
+ let h c =
+ let m1, m2 = inc m1, inc m2 in
+ S.subst (are_convertible f xl c m1 t1 m2) l1 l2 t2
+ in
+ if xl = None then f xl else push h c m1 l1 id1 w1
in
- are_convertible f c m1 w1 m2 w2
- | _ -> f false
+ are_convertible f xl c m1 w1 m2 w2
+(* we detect the AUT-QE reduction rule for type/prop inclusion *)
+ | GRef_ (_, uri, B.Abst _), Bind_ (l1, _, _, _) when !ext = No ->
+ let g vs = insert f l1 uri vs xl in
+ if U.eq uri I.imp then unwind_stack g m1 else
+ if U.eq uri I.all then unwind_stack g m1 else
+ begin L.warn (U.string_of_uri uri); f None end
+ | Sort_ _, Bind_ (l2, id2, w2, t2) when !ext = NSI ->
+ let m1, m2 = inc m1, inc m2 in
+ let f c = are_convertible f xl c m1 (term_of_whdr r1) m2 t2 in
+ push f c m2 l2 id2 w2
+ | _ -> f None
and aux_rev m2 r2 m1 r1 = aux m1 r1 m2 r2 in
let f m1 r1 = whd (aux m1 r1) c m2 t2 in
whd f c m1 t1
-and are_convertible_stacks f c m1 m2 =
+and are_convertible_stacks f xl c m1 m2 =
let mm1, mm2 = {m1 with s = []}, {m2 with s = []} in
- let map f v1 v2 = are_convertible f c mm1 v1 mm2 v2 in
- if List.length m1.s <> List.length m2.s then f false else
- C.forall2 f map m1.s m2.s
-
-let are_convertible f c t1 t2 =
- let f b = L.unbox (); f b in
- L.box ();
- L.log O.specs level (L.ct_items2 "Now converting" c t1 "and" c t2);
- are_convertible f c empty_machine t1 empty_machine t2
+ let map f xl v1 v2 = are_convertible f xl c mm1 v1 mm2 v2 in
+ if List.length m1.s <> List.length m2.s then f None else
+ C.list_fold_left2 f map xl m1.s m2.s
+
+let are_convertible f c u t =
+ let f b = L.unbox level; f b in
+ L.box level; log2 "Now converting" c u t;
+ are_convertible f (Some []) c empty_machine u empty_machine t