module S = BrgSubstitution
module R = BrgReduction
+exception TypeError of R.message
+
(* Internal functions *******************************************************)
let level = 4
+let message1 st1 m t1 =
+ L.ct_items1 "In the context" m st1 t1
+
let log1 s m t =
let s = s ^ " the term" in
- L.log O.specs level (R.message1 s m t)
+ L.log R.specs level (message1 s m t)
let error1 s m t =
- raise (R.TypeError (R.message1 s m t))
+ raise (TypeError (message1 s m t))
-(* Interface functions ******************************************************)
+let message3 m t1 t2 ?mu t3 =
+ let sm, st1, st2 = "In the context", "the term", "is of type" in
+ match mu with
+ | Some mu ->
+ let smu, st3 = "but in the context", "it must be of type" in
+ L.ct_items3 sm m st1 t1 st2 t2 ~sc3:smu ~c3:mu st3 t3
+ | None ->
+ let st3 = "but it must be of type" in
+ L.ct_items3 sm m st1 t1 st2 t2 st3 t3
+
+let error3 m t1 t2 ?mu t3 =
+ raise (TypeError (message3 m t1 t2 ?mu t3))
+
+let assert_convertibility f ~si m u w v =
+ let err _ = error3 m v w u in
+ R.are_convertible err f ~si m u m w
+
+let assert_applicability f ~si m u w v =
+ let f mu = function
+ | B.Bind (B.Abst (_, u), _) ->
+ let err _ = error3 m v w ~mu u in
+ R.are_convertible err f ~si mu u m w
+ | _ -> error1 "not a function type" m u
+ in
+ R.xwhd f m u
let rec b_type_of f ~si g m x =
log1 "Now checking" m x;
match x with
- | B.Sort (a, h) ->
+ | 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
- | B.Abst w ->
+ | B.LRef (_, i) ->
+ let f = function
+ | B.Abst (_, w) ->
S.lift (f x) (succ i) (0) w
- | B.Abbr (B.Cast (_, w, _)) ->
+ | B.Abbr (_, B.Cast (_, w, _)) ->
S.lift (f x) (succ i) (0) w
- | B.Abbr _ -> assert false
- | B.Void ->
+ | B.Abbr _ -> assert false
+ | B.Void _ ->
error1 "reference to excluded variable" m x
in
- R.get f m i
- | B.GRef (_, uri) ->
+ let err _ = error1 "reference to unknown variable" m x in
+ R.get err f m i
+ | B.GRef (_, uri) ->
let f = function
- | _, _, B.Abst w -> f x w
- | _, _, B.Abbr (B.Cast (_, w, _)) -> f x w
- | _, _, B.Abbr _ -> assert false
- | _, _, B.Void ->
+ | _, _, 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" m x
in
- E.get_obj f uri
- | B.Bind (a, B.Abbr v, t) ->
+ let err _ = error1 "reference to unknown object" m x in
+ E.get_obj err f uri
+ | B.Bind (B.Abbr (a, 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
let f xv m = b_type_of (f xv) ~si g m t in
- let f xv = R.push (f xv) m a (B.Abbr xv) in
+ let f xv = R.push (f xv) m (B.abbr a xv) in
let f xv vv = match xv with
| B.Cast _ -> f xv
| _ -> f (B.Cast ([], vv, xv))
in
type_of f ~si g m v
- | B.Bind (a, B.Abst u, t) ->
+ | B.Bind (B.Abst (a, 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 xu m = b_type_of (f xu) ~si g m t in
- let f xu _ = R.push (f xu) m a (B.Abst xu) in
+ let f xu _ = R.push (f xu) m (B.abst a xu) in
type_of f ~si g m u
- | B.Bind (a, B.Void, t) ->
+ | B.Bind (B.Void a as b, t) ->
let f xt tt =
- f (A.sh1 t xt x (B.bind a B.Void)) (B.bind a B.Void tt)
+ f (A.sh1 t xt x (B.bind b)) (B.bind b tt)
in
let f m = b_type_of f ~si g m t in
- R.push f m a B.Void
- | B.Appl (a, v, t) ->
+ R.push f m b
+ | 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 m tt vv xv
+ let f _ = f (A.sh2 v xv t xt x (B.appl a)) (B.appl a xv tt) in
+ assert_applicability f ~si m tt vv xv
in
let f xv vv = b_type_of (f xv vv) ~si g m t in
type_of f ~si g m v
- | B.Cast (a, u, t) ->
+ | 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 m xu tt xt
+ let f _ = f (A.sh2 u xu t xt x (B.cast a)) xu in
+ assert_convertibility f ~si m xu tt xt
in
let f xu _ = b_type_of (f xu) ~si g m t in
type_of f ~si g m u
+(* Interface functions ******************************************************)
+
and type_of f ?(si=false) g m x =
let f t u = L.unbox level; f t u in
L.box level; b_type_of f ~si g m x