exception ObjectNotFound of string Lazy.t;;
exception BadDependency of string Lazy.t * exn;;
exception BadConstraint of string Lazy.t;;
+exception AlreadyDefined of string Lazy.t;;
let cache = NUri.UriHash.create 313;;
let history = ref [];;
let get_obj = ref (fun _ -> assert false);;
let set_get_obj f = get_obj := f;;
-let type0 = []
+module F = Format
+
+let rec ppsort f = function
+ | C.Prop -> F.fprintf f "Prop"
+ | (C.Type []) -> F.fprintf f "Type0"
+ | (C.Type [`Type, u]) -> F.fprintf f "%s" (NUri.name_of_uri u)
+ | (C.Type [`Succ, u]) -> F.fprintf f "S(%s)" (NUri.name_of_uri u)
+ | (C.Type [`CProp, u]) -> F.fprintf f "P(%s)" (NUri.name_of_uri u)
+ | (C.Type l) ->
+ F.fprintf f "Max(";
+ ppsort f ((C.Type [List.hd l]));
+ List.iter (fun x -> F.fprintf f ",";ppsort f ((C.Type [x]))) (List.tl l);
+ F.fprintf f ")"
+;;
+
+let string_of_univ u =
+ let b = Buffer.create 100 in
+ let f = Format.formatter_of_buffer b in
+ ppsort f (NCic.Type u);
+ Format.fprintf f "@?";
+ Buffer.contents b
+;;
-let max l1 l2 =
- HExtlib.list_uniq ~eq:(fun (b1,u1) (b2,u2) -> b1=b2 && NUri.eq u1 u2)
- (List.sort (fun (b1,u1) (b2,u2) ->
- let res = compare b1 b2 in if res = 0 then NUri.compare u1 u2 else res)
- (l1 @ l2))
+let eq_univ (b1,u1) (b2,u2) = b1=b2 && NUri.eq u1 u2;;
+
+let max (l1:NCic.universe) (l2:NCic.universe) =
+ match l2 with
+ | x::tl ->
+ let rest = List.filter (fun y -> not (eq_univ x y)) (l1@tl) in
+ x :: HExtlib.list_uniq ~eq:eq_univ
+ (List.sort (fun (b1,u1) (b2,u2) ->
+ let res = compare b1 b2 in
+ if res = 0 then NUri.compare u1 u2 else res)
+ rest)
+ | [] ->
+ match l1 with
+ | [] -> []
+ | ((`Type|`Succ), _)::_ -> l1
+ | (`CProp, u)::tl -> (`Type, u)::tl
+;;
-let le_constraints = ref [] (* strict,a,b *)
+let lt_constraints = ref [] (* a,b := a < b *)
-let rec le_path_uri avoid strict a b =
- (not strict && NUri.eq a b) ||
+let rec lt_path_uri avoid a b =
List.exists
- (fun (strict',x,y) ->
- NUri.eq y b && not (List.exists (NUri.eq x) avoid) &&
- le_path_uri (x::avoid) (strict && not strict') a x
- ) !le_constraints
+ (fun (x,y) ->
+ NUri.eq y b &&
+ (NUri.eq a x ||
+ (not (List.exists (NUri.eq x) avoid) &&
+ lt_path_uri (x::avoid) a x))
+ ) !lt_constraints
;;
-let leq_path a b = le_path_uri [b] (fst a) (snd a) b;;
-
-let universe_leq a b =
- match a, b with
- | a,[(false,b)] -> List.for_all (fun a -> leq_path a b) a
- | _,_ ->
- raise (BadConstraint
- (lazy "trying to check if a universe is less or equal than an inferred universe"))
+let lt_path a b = lt_path_uri [b] a b;;
let universe_eq a b =
match a,b with
- | [(false,_)], [(false,_)] -> universe_leq b a && universe_leq a b
- | _, [(false,_)]
- | [(false,_)],_ -> false
+ | [(`Type|`CProp) as b1, u1], [(`Type|`CProp) as b2, u2] ->
+ b1 = b2 && NUri.eq u1 u2
+ | _, [(`Type|`CProp),_]
+ | [(`Type|`CProp),_],_ -> false
| _ ->
raise (BadConstraint
(lazy "trying to check if two inferred universes are equal"))
;;
-let pp_constraint b x y =
- NUri.name_of_uri x ^ (if b then " < " else " <= ") ^ NUri.name_of_uri y
+let universe_leq a b =
+ match a, b with
+ | (((`Type|`Succ),_)::_ | []) , [`CProp,_] -> false
+ | l, [((`Type|`CProp),b)] ->
+ List.for_all
+ (function
+ | `Succ,a -> lt_path a b
+ | _, a -> NUri.eq a b || lt_path a b) l
+ | _, ([] | [`Succ,_] | _::_::_) ->
+ raise (BadConstraint (lazy (
+ "trying to check if "^string_of_univ a^
+ " is leq than the inferred universe " ^ string_of_univ b)))
+;;
+
+let are_sorts_convertible ~test_eq_only s1 s2 =
+ match s1,s2 with
+ | C.Type a, C.Type b when not test_eq_only -> universe_leq a b
+ | C.Type a, C.Type b -> universe_eq a b
+ | C.Prop,C.Type _ -> (not test_eq_only)
+ | C.Prop, C.Prop -> true
+ | _ -> false
+;;
+
+let pp_constraint x y =
+ NUri.name_of_uri x ^ " < " ^ NUri.name_of_uri y
;;
let pp_constraints () =
- String.concat "\n" (List.map (fun (b,x,y) -> pp_constraint b x y) !le_constraints)
+ String.concat "\n" (List.map (fun (x,y) -> pp_constraint x y) !lt_constraints)
;;
let universes = ref [];;
-let add_constraint strict a b =
+let get_universes () =
+ List.map (fun x -> [`Type,x]) !universes @
+ List.map (fun x -> [`CProp,x]) !universes
+;;
+
+let is_declared u =
+ match u with
+ | [(`CProp|`Type),x] -> List.exists (fun y -> NUri.eq x y) !universes
+ | _ -> assert false
+;;
+
+exception UntypableSort of string Lazy.t
+exception AssertFailure of string Lazy.t
+
+let typeof_sort = function
+ | C.Type ([(`Type|`CProp),u] as univ) ->
+ if is_declared univ then (C.Type [`Succ, u])
+ else
+ let universes = !universes in
+ raise (UntypableSort (lazy ("undeclared universe " ^
+ NUri.string_of_uri u ^ "\ndeclared ones are: " ^
+ String.concat ", " (List.map NUri.string_of_uri universes)
+ )))
+ | C.Type t ->
+ raise (AssertFailure (lazy (
+ "Cannot type an inferred type: "^ string_of_univ t)))
+ | C.Prop -> (C.Type [])
+;;
+
+let add_lt_constraint a b =
match a,b with
- | [false,a2],[false,b2] ->
- if not (le_path_uri [] strict a2 b2) then (
- if le_path_uri [] (not strict) b2 a2 then
- (raise(BadConstraint(lazy("universe inconsistency adding "^pp_constraint strict a2 b2
+ | [`Type,a2],[`Type,b2] ->
+ if not (lt_path_uri [] a2 b2) then (
+ if lt_path_uri [] b2 a2 || NUri.eq a2 b2 then
+ (raise(BadConstraint(lazy("universe inconsistency adding "^
+ pp_constraint a2 b2
^ " to:\n" ^ pp_constraints ()))));
universes := a2 :: b2 ::
List.filter (fun x -> not (NUri.eq x a2 || NUri.eq x b2)) !universes;
- le_constraints := (strict,a2,b2) :: !le_constraints);
- history := (`Constr (strict,a,b))::!history;
+ lt_constraints := (a2,b2) :: !lt_constraints);
+ history := (`Constr (a,b))::!history;
| _ -> raise (BadConstraint
(lazy "trying to add a constraint on an inferred universe"))
;;
+
+let family_of = function (`CProp,_)::_ -> `CProp | _ -> `Type ;;
-let sup l =
+let sup fam l =
match l with
- | [false,_] -> Some l
+ | [(`Type|`CProp),_] -> Some l
| l ->
- let bigger_than acc (s1,n1) = List.filter (le_path_uri [] s1 n1) acc in
+ let bigger_than acc (s1,n1) =
+ List.filter
+ (fun x -> lt_path_uri [] n1 x || (s1 <> `Succ && NUri.eq n1 x)) acc
+ in
let solutions = List.fold_left bigger_than !universes l in
let rec aux = function
| [] -> None
| u :: tl ->
- if List.exists (fun x -> le_path_uri [] true x u) solutions then aux tl
- else Some [false,u]
+ if List.exists (fun x -> lt_path_uri [] x u) solutions then aux tl
+ else Some [fam,u]
in
aux solutions
;;
+let sup l = sup (family_of l) l;;
+
+let inf ~strict fam l =
+ match l with
+ | [(`Type|`CProp),_] -> Some l
+ | [] -> None
+ | l ->
+ let smaller_than acc (_s1,n1) =
+ List.filter
+ (fun x -> lt_path_uri [] x n1 || (not strict && NUri.eq n1 x)) acc
+ in
+ let solutions = List.fold_left smaller_than !universes l in
+ let rec aux = function
+ | [] -> None
+ | u :: tl ->
+ if List.exists (lt_path_uri [] u) solutions then aux tl
+ else Some [fam,u]
+ in
+ aux solutions
+;;
+let inf ~strict l = inf ~strict (family_of l) l;;
+
+let rec universe_lt a b =
+ match a, b with
+ | (((`Type|`Succ),_)::_ | []) , [`CProp,_] -> false
+ | l, ([((`Type|`CProp),b)] as orig_b) ->
+ List.for_all
+ (function
+ | `Succ,_ as a ->
+ (match sup [a] with
+ | None -> false
+ | Some x -> universe_lt x orig_b)
+ | _, a -> lt_path a b) l
+ | _, ([] | [`Succ,_] | _::_::_) ->
+ raise (BadConstraint (lazy (
+ "trying to check if "^string_of_univ a^
+ " is lt than the inferred universe " ^ string_of_univ b)))
+;;
+
+
+let allowed_sort_elimination s1 s2 =
+ match s1, s2 with
+ | C.Type (((`Type|`Succ),_)::_ | []), C.Type (((`Type|`Succ),_)::_ | [])
+ | C.Type _, C.Type ((`CProp,_)::_)
+ | C.Type _, C.Prop
+ | C.Prop, C.Prop -> `Yes
+
+ | C.Type ((`CProp,_)::_), C.Type (((`Type|`Succ),_)::_ | [])
+ | C.Prop, C.Type _ -> `UnitOnly
+;;
let typecheck_obj,already_set = ref (fun _ -> assert false), ref false;;
let set_typecheck_obj f =
List.iter
(function
| `Obj (uri,_) -> NUri.UriHash.remove cache uri
- | `Constr (strict,[_,u1],[_,u2]) as c ->
- let w = strict,u1,u2 in
+ | `Constr ([_,u1],[_,u2]) as c ->
+ let w = u1,u2 in
if not(List.mem c !history) then
- le_constraints := List.filter ((<>) w) !le_constraints;
+ lt_constraints := List.filter ((<>) w) !lt_constraints;
| `Constr _ -> assert false
) to_be_deleted
;;
let get_checked_obj u = to_exn get_checked_obj u;;
-let check_and_add_obj obj = ignore (to_exn check_and_add_obj obj);;
+let check_and_add_obj ((u,_,_,_,_) as obj) =
+ if NUri.UriHash.mem cache u then
+ raise (AlreadyDefined (lazy (NUri.string_of_uri u)))
+ else
+ ignore (to_exn check_and_add_obj obj)
+;;
let get_checked_decl = function
| Ref.Ref (uri, Ref.Decl) ->
projects / helm.git / blobdiff