\ / This software is distributed as is, NO WARRANTY.
V_______________________________________________________________ *)
+module U = NUri
+module C = Cps
+module A = Share
module L = Log
+module H = Hierarchy
module B = Brg
module O = BrgOutput
module E = BrgEnvironment
+module S = BrgSubstitution
module R = BrgReduction
-exception TypeError of (R.context, B.term) Log.item list
-
(* Internal functions *******************************************************)
-let error1 s c t =
- raise (TypeError (L.ct_items1 s c t))
+let level = 4
-let error2 s1 c1 t1 s2 c2 t2 =
- raise (TypeError (L.ct_items2 s1 c1 t1 s2 c2 t2))
+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 are_convertible f c t1 t2 =
- L.log O.specs 4 (L.ct_items2 "Now converting" c t1 "and" c t2);
- R.are_convertible f c t1 t2
+let error1 st c t =
+ let sc = "In the context" in
+ raise (R.TypeError (L.ct_items1 sc c st t))
(* Interface functions ******************************************************)
-let rec type_of f g c x =
- L.log O.specs 5 (L.ct_items1 "now checking" c x);
+let rec b_type_of f ~si g c x =
+ log1 "Now checking" c x;
match x with
- | B.Sort h -> f (B.Sort (g h))
- | B.LRef i ->
- let f = function
- | B.Abst w -> f w
- | B.Abbr (B.Cast (w, v)) -> f w
- | B.Abbr _ -> assert false
- | B.Void -> assert false
+ | B.Sort (a, h) ->
+ let f h = f x (B.Sort (a, h)) in H.apply f g h
+ | B.LRef (_, i) ->
+ let f _ = function
+ | Some (_, B.Abst w) ->
+ S.lift (f x) (succ i) (0) w
+ | Some (_, B.Abbr (B.Cast (_, w, _))) ->
+ S.lift (f x) (succ i) (0) w
+ | Some (_, B.Abbr _) -> assert false
+ | Some (_, B.Void) ->
+ error1 "reference to excluded variable" c x
+ | None ->
+ error1 "variable not found" c x
in
- R.get f c i
- | B.GRef uri ->
+ B.get f c i
+ | B.GRef (_, uri) ->
let f = function
- | _, _, B.Abst w -> f w
- | _, _, B.Abbr (B.Cast (w, v)) -> f w
- | _, _, B.Abbr _ -> assert false
- | _, _, B.Void -> assert false
+ | _, _, B.Abst w -> f x w
+ | _, _, B.Abbr (B.Cast (_, w, _)) -> f x w
+ | _, _, B.Abbr _ -> assert false
+ | _, _, B.Void ->
+ error1 "reference to excluded object" c x
+ in
+ E.get_obj f uri
+ | B.Bind (a, B.Abbr v, t) ->
+ let f xv xt tt =
+ f (A.sh2 v xv t xt x (B.bind_abbr a)) (B.bind_abbr a xv tt)
in
- E.get_obj f uri
- | B.Bind (id, B.Abbr u, t) ->
- let f tt = f (B.Bind (id, B.Abbr u, tt)) in
- let f cc = type_of f g cc t in
- let f u = R.push f c (B.Abbr u) in
- let f uu = match u with
- | B.Cast _ -> f u
- | _ -> f (B.Cast (uu, u))
+ let f xv cc = b_type_of (f xv) ~si g cc t in
+ let f xv = B.push (f xv) c a (B.Abbr xv) in
+ let f xv vv = match xv with
+ | B.Cast _ -> f xv
+ | _ -> assert false (* f (B.Cast ([], vv, xv)) *)
in
- type_of f g c u
- | B.Bind (id, B.Abst u, t) ->
- let f tt = f (B.Bind (id, B.Abst u, tt)) in
- let f cc = type_of f g cc t in
- let f _ = R.push f c (B.Abst u) in
- type_of f g c u
- | B.Bind (id, B.Void, t) ->
- let f tt = f (B.Bind (id, B.Void, tt)) in
- let f cc = type_of f g cc t in
- R.push f c B.Void
- | B.Appl (v, t) ->
- let f tt cc = function
- | R.Sort _ -> error1 "not a function" c t
- | R.Abst w ->
- let f b =
- if b then f (B.Appl (v, tt)) else
- error2 "the term" c v "must be of type" cc w
- in
- type_of (are_convertible f cc w) g c v
+ type_of f ~si g c v
+ | B.Bind (a, B.Abst u, t) ->
+ let f xu xt tt =
+ f (A.sh2 u xu t xt x (B.bind_abst a)) (B.bind_abst a xu tt)
in
- let f tt = R.ho_whd (f tt) c t in
- type_of f g c t
- | B.Cast (u, t) ->
- let f b =
- if b then f u else
- error2 "the term" c t "must be of type" c u
+ let f xu cc = b_type_of (f xu) ~si g cc t in
+ let f xu _ = B.push (f xu) c a (B.Abst xu) in
+ type_of f ~si g c u
+ | B.Bind (a, B.Void, t) ->
+ let f xt tt =
+ f (A.sh1 t xt x (B.bind a B.Void)) (B.bind a B.Void tt)
in
- let f _ = type_of (are_convertible f c u) g c t in
- type_of f g c u
+ let f cc = b_type_of f ~si g cc t in
+ B.push f c a B.Void
+ | B.Appl (a, v, t) ->
+ let f xv vv xt tt =
+ let f () = f (A.sh2 v xv t xt x (B.appl a)) (B.appl a xv tt) in
+ R.assert_conversion f ~si ~rt:true c tt vv xv
+ in
+ let f xv vv = b_type_of (f xv vv) ~si g c t in
+ type_of f ~si g c v
+ | B.Cast (a, u, t) ->
+ let f xu xt tt =
+ let f () = f (A.sh2 u xu t xt x (B.cast a)) xu in
+ R.assert_conversion f ~si c xu tt xt
+ in
+ let f xu _ = b_type_of (f xu) ~si g c t in
+ type_of f ~si g c u
+
+and type_of f ?(si=false) g c x =
+ let f t u = L.unbox level; f t u in
+ L.box level; b_type_of f ~si g c x