aux (List.length context)
;;
-let sort_of_prod ~metasenv ~subst context (name,s) (t1, t2) =
+let sort_of_prod ~metasenv ~subst context (name,s) t (t1, t2) =
let t1 = R.whd ~subst context t1 in
let t2 = R.whd ~subst ((name,C.Decl s)::context) t2 in
match t1, t2 with
| C.Sort _, C.Sort C.Prop -> t2
| C.Sort (C.Type u1), C.Sort (C.Type u2) -> C.Sort (C.Type (u1@u2))
| C.Sort C.Prop,C.Sort (C.Type _) -> t2
- | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Sort _
- | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Meta (_,(_,(C.Irl 0 | C.Ctx [])))
- | C.Sort _, C.Meta (_,(_,(C.Irl 0 | C.Ctx []))) -> t2
- | _ ->
+ | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Sort _ -> t2
+ | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Meta (i,(_,(C.Irl 0 | C.Ctx [])))
+ | C.Sort _, C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) ->
+ NCic.Meta (i,(0, C.Irl 0))
+ | x, (C.Sort _ | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))))
+ | _, x ->
+ let y, context =
+ if x == t1 then s, context else t, ((name,C.Decl s)::context)
+ in
raise (TypeCheckerFailure (lazy (Printf.sprintf
- "Prod: expected two sorts, found = %s, %s"
- (PP.ppterm ~subst ~metasenv ~context t1)
- (PP.ppterm ~subst ~metasenv ~context t2))))
+ "%s is expected to be a type, but its type is %s that is not a sort"
+ (PP.ppterm ~subst ~metasenv ~context y)
+ (PP.ppterm ~subst ~metasenv ~context x))))
;;
(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
raise (TypeCheckerFailure
(lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
NUri.string_of_uri uri)))
- | C.Prod (name,source,dest) when
+ | C.Prod (name,source,dest) when
does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
strictly_positive ~subst context n nn indparamsno uri source &&
are_all_occurrences_positive ~subst
exception NotGuarded of string Lazy.t;;
+let type_of_branch ~subst context leftno outty cons tycons =
+ let rec aux liftno context cons tycons =
+ match R.whd ~subst context tycons with
+ | C.Const (Ref.Ref (_,Ref.Ind _)) -> C.Appl [S.lift liftno outty ; cons]
+ | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _))::tl) ->
+ let _,arguments = HExtlib.split_nth leftno tl in
+ C.Appl (S.lift liftno outty::arguments@[cons])
+ | C.Prod (name,so,de) ->
+ let cons =
+ match S.lift 1 cons with
+ | C.Appl l -> C.Appl (l@[C.Rel 1])
+ | t -> C.Appl [t ; C.Rel 1]
+ in
+ C.Prod (name,so, aux (liftno+1) ((name,(C.Decl so))::context) cons de)
+ | _ -> raise (AssertFailure (lazy "type_of_branch"))
+ in
+ aux 0 context cons tycons
+;;
+
+
let rec typeof ~subst ~metasenv context term =
let rec typeof_aux context =
fun t -> (*prerr_endline (PP.ppterm ~metasenv ~subst ~context t);*)
try
let _,c,_,ty = U.lookup_subst n subst in c,ty
with U.Subst_not_found _ -> try
- let _,c,ty = U.lookup_meta n metasenv in c,ty
+ let _,c,ty = U.lookup_meta n metasenv in c, ty
+(* match ty with C.Implicit _ -> assert false | _ -> c,ty *)
with U.Meta_not_found _ ->
raise (AssertFailure (lazy (Printf.sprintf
- "%s not found" (PP.ppterm ~subst ~metasenv ~context t))))
+ "%s not found in:\n%s" (PP.ppterm ~subst ~metasenv ~context t)
+ (PP.ppmetasenv ~subst metasenv)
+ )))
in
check_metasenv_consistency t ~subst ~metasenv context canonical_ctx l;
S.subst_meta l ty
| C.Prod (name,s,t) ->
let sort1 = typeof_aux context s in
let sort2 = typeof_aux ((name,(C.Decl s))::context) t in
- sort_of_prod ~metasenv ~subst context (name,s) (sort1,sort2)
+ sort_of_prod ~metasenv ~subst context (name,s) t (sort1,sort2)
| C.Lambda (n,s,t) ->
let sort = typeof_aux context s in
(match R.whd ~subst context sort with
| C.LetIn (n,ty,t,bo) ->
let ty_t = typeof_aux context t in
let _ = typeof_aux context ty in
- if not (R.are_convertible ~subst get_relevance context ty_t ty) then
+ if not (R.are_convertible ~metasenv ~subst context ty_t ty) then
raise
(TypeCheckerFailure
(lazy (Printf.sprintf
let ty_p = typeof_aux context p in
let ty_cons = typeof_aux context cons in
let ty_branch =
- type_of_branch ~subst context leftno outtype cons ty_cons 0
+ type_of_branch ~subst context leftno outtype cons ty_cons
in
- j+1, R.are_convertible ~subst get_relevance context ty_p ty_branch,
+ j+1, R.are_convertible ~metasenv ~subst context ty_p ty_branch,
ty_p, ty_branch
else
j,false,old_p_ty,old_exp_p_ty
R.head_beta_reduce (C.Appl res)
| C.Match _ -> assert false
- and type_of_branch ~subst context leftno outty cons tycons liftno =
- match R.whd ~subst context tycons with
- | C.Const (Ref.Ref (_,Ref.Ind _)) -> C.Appl [S.lift liftno outty ; cons]
- | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _))::tl) ->
- let _,arguments = HExtlib.split_nth leftno tl in
- C.Appl (S.lift liftno outty::arguments@[cons])
- | C.Prod (name,so,de) ->
- let cons =
- match S.lift 1 cons with
- | C.Appl l -> C.Appl (l@[C.Rel 1])
- | t -> C.Appl [t ; C.Rel 1]
- in
- C.Prod (name,so,
- type_of_branch ~subst ((name,(C.Decl so))::context)
- leftno outty cons de (liftno+1))
- | _ -> raise (AssertFailure (lazy "type_of_branch"))
-
(* check_metasenv_consistency checks that the "canonical" context of a
metavariable is consitent - up to relocation via the relocation list l -
with the actual context *)
| 0,_,_::_
| _,_,[] ->
raise (AssertFailure (lazy (Printf.sprintf
- "Local and canonical context %s have different lengths"
+ "(2) Local and canonical context %s have different lengths"
(PP.ppterm ~subst ~context ~metasenv term))))
| m,[],_::_ ->
raise (TypeCheckerFailure (lazy (Printf.sprintf
(_,C.Decl t1), (_,C.Decl t2)
| (_,C.Def (t1,_)), (_,C.Def (t2,_))
| (_,C.Def (_,t1)), (_,C.Decl t2) ->
- if not (R.are_convertible ~subst get_relevance tl t1 t2) then
+ if not (R.are_convertible ~metasenv ~subst tl t1 t2) then
raise
(TypeCheckerFailure
(lazy (Printf.sprintf
with Failure _ -> t)
| _ -> t
in
- if not (R.are_convertible ~subst get_relevance context optimized_t ct)
+ if not (R.are_convertible ~metasenv ~subst context optimized_t ct)
then
raise
(TypeCheckerFailure
(PP.ppterm ~subst ~metasenv ~context t))))
| t, (_,C.Decl ct) ->
let type_t = typeof_aux context t in
- if not (R.are_convertible ~subst get_relevance context type_t ct) then
+ if not (R.are_convertible ~metasenv ~subst context type_t ct) then
raise (TypeCheckerFailure
(lazy (Printf.sprintf
("Not well typed metavariable local context: "^^
(PP.ppterm ~subst ~metasenv ~context type_t))))
) l lifted_canonical_context
with
- Invalid_argument _ ->
+ | Invalid_argument "List.iter2" ->
raise (AssertFailure (lazy (Printf.sprintf
- "Local and canonical context %s have different lengths"
+ "(1) Local and canonical context %s have different lengths"
(PP.ppterm ~subst ~metasenv ~context term))))
- and check_allowed_sort_elimination ~subst ~metasenv r =
- let mkapp he arg =
- match he with
- | C.Appl l -> C.Appl (l @ [arg])
- | t -> C.Appl [t;arg] in
- let rec aux context ind arity1 arity2 =
- let arity1 = R.whd ~subst context arity1 in
- let arity2 = R.whd ~subst context arity2 in
- match arity1,arity2 with
- | C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
- if not (R.are_convertible ~subst get_relevance context so1 so2) then
- raise (TypeCheckerFailure (lazy (Printf.sprintf
- "In outtype: expected %s, found %s"
- (PP.ppterm ~subst ~metasenv ~context so1)
- (PP.ppterm ~subst ~metasenv ~context so2)
- )));
- aux ((name, C.Decl so1)::context)
- (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
- | C.Sort _, C.Prod (name,so,ta) ->
- if not (R.are_convertible ~subst get_relevance context so ind) then
- raise (TypeCheckerFailure (lazy (Printf.sprintf
- "In outtype: expected %s, found %s"
- (PP.ppterm ~subst ~metasenv ~context ind)
- (PP.ppterm ~subst ~metasenv ~context so)
- )));
- (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with
- | (C.Sort C.Type _, C.Sort _)
- | (C.Sort C.Prop, C.Sort C.Prop) -> ()
- | (C.Sort C.Prop, C.Sort C.Type _) ->
- (* TODO: we should pass all these parameters since we
- * have them already *)
- let _,leftno,itl,_,i = E.get_checked_indtys r in
- let itl_len = List.length itl in
- let _,_,_,cl = List.nth itl i in
- let cl_len = List.length cl in
- (* is it a singleton or empty non recursive and non informative
- definition? *)
- if not
- (cl_len = 0 ||
- (itl_len = 1 && cl_len = 1 &&
- is_non_informative leftno
- (let _,_,x = List.hd cl in x)))
- then
- raise (TypeCheckerFailure (lazy
- ("Sort elimination not allowed")));
- | _,_ -> ())
- | _,_ -> ()
- in
- aux
-
in
typeof_aux context term
+and check_allowed_sort_elimination ~subst ~metasenv r =
+ let mkapp he arg =
+ match he with
+ | C.Appl l -> C.Appl (l @ [arg])
+ | t -> C.Appl [t;arg] in
+ let rec aux context ind arity1 arity2 =
+ let arity1 = R.whd ~subst context arity1 in
+ let arity2 = R.whd ~subst context arity2 in
+ match arity1,arity2 with
+ | C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
+ if not (R.are_convertible ~metasenv ~subst context so1 so2) then
+ raise (TypeCheckerFailure (lazy (Printf.sprintf
+ "In outtype: expected %s, found %s"
+ (PP.ppterm ~subst ~metasenv ~context so1)
+ (PP.ppterm ~subst ~metasenv ~context so2)
+ )));
+ aux ((name, C.Decl so1)::context)
+ (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
+ | C.Sort _, C.Prod (name,so,ta) ->
+ if not (R.are_convertible ~metasenv ~subst context so ind) then
+ raise (TypeCheckerFailure (lazy (Printf.sprintf
+ "In outtype: expected %s, found %s"
+ (PP.ppterm ~subst ~metasenv ~context ind)
+ (PP.ppterm ~subst ~metasenv ~context so)
+ )));
+ (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with
+ | (C.Sort C.Type _, C.Sort _)
+ | (C.Sort C.Prop, C.Sort C.Prop) -> ()
+ | (C.Sort C.Prop, C.Sort C.Type _) ->
+ (* TODO: we should pass all these parameters since we
+ * have them already *)
+ let _,leftno,itl,_,i = E.get_checked_indtys r in
+ let itl_len = List.length itl in
+ let _,itname,ittype,cl = List.nth itl i in
+ let cl_len = List.length cl in
+ (* is it a singleton, non recursive and non informative
+ definition or an empty one? *)
+ if not
+ (cl_len = 0 ||
+ (itl_len = 1 && cl_len = 1 &&
+ let _,_,constrty = List.hd cl in
+ is_non_recursive_singleton
+ ~subst r itname ittype constrty &&
+ is_non_informative ~metasenv ~subst leftno constrty))
+ then
+ raise (TypeCheckerFailure (lazy
+ ("Sort elimination not allowed")));
+ | _,_ -> ())
+ | _,_ -> ()
+ in
+ aux
+
and eat_prods ~subst ~metasenv context he ty_he args_with_ty =
let rec aux ty_he = function
| [] -> ty_he
| (arg, ty_arg)::tl ->
match R.whd ~subst context ty_he with
| C.Prod (_,s,t) ->
- if R.are_convertible ~subst get_relevance context ty_arg s then
+ if R.are_convertible ~metasenv ~subst context ty_arg s then
aux (S.subst ~avoid_beta_redexes:true arg t) tl
else
raise
in
aux ty_he args_with_ty
-and is_non_informative paramsno c =
+and is_non_recursive_singleton ~subst (Ref.Ref (uri,_)) iname ity cty =
+ let ctx = [iname, C.Decl ity] in
+ let cty = debruijn uri 1 [] cty in
+ let len = List.length ctx in
+ let rec aux ctx n nn t =
+ match R.whd ~subst ctx t with
+ | C.Prod (name, src, tgt) ->
+ does_not_occur ~subst ctx n nn src &&
+ aux ((name, C.Decl src) :: ctx) (n+1) (nn+1) tgt
+ | C.Rel k | C.Appl (C.Rel k :: _) when k = nn -> true
+ | _ -> assert false
+ in
+ aux ctx (len-1) len cty
+
+and is_non_informative ~metasenv ~subst paramsno c =
let rec aux context c =
match R.whd context c with
| C.Prod (n,so,de) ->
- let s = typeof ~metasenv:[] ~subst:[] context so in
+ let s = typeof ~metasenv ~subst context so in
s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de
| _ -> true in
- let context',dx = split_prods ~subst:[] [] paramsno c in
+ let context',dx = split_prods ~subst [] paramsno c in
aux context' dx
and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl =
let convertible =
match item1,item2 with
(n1,C.Decl ty1),(n2,C.Decl ty2) ->
- n1 = n2 && R.are_convertible ~subst get_relevance context ty1 ty2
+ n1 = n2 &&
+ R.are_convertible ~metasenv ~subst context ty1 ty2
| (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
n1 = n2
- && R.are_convertible ~subst get_relevance context ty1 ty2
- && R.are_convertible ~subst get_relevance context bo1 bo2
+ && R.are_convertible ~metasenv ~subst context ty1 ty2
+ && R.are_convertible ~metasenv ~subst context bo1 bo2
| _,_ -> false
in
if not convertible then
else
item1::context
) [] sx_context_ty_rev sx_context_te_rev)
- with Invalid_argument _ -> assert false);
+ with Invalid_argument "List.fold_left2" -> assert false);
let con_sort = typeof ~subst ~metasenv context te in
(match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with
(C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
ty
| _ -> raise (AssertFailure (lazy "type_of_constant: environment/reference"))
-and get_relevance ~subst context t args =
- let ty = typeof ~subst ~metasenv:[] context t in
+and get_relevance ~metasenv ~subst context t args =
+ let ty = typeof ~subst ~metasenv context t in
let rec aux context ty = function
| [] -> []
| arg::tl -> match R.whd ~subst context ty with
| C.Prod (_,so,de) ->
- let sort = typeof ~subst ~metasenv:[] context so in
+ let sort = typeof ~subst ~metasenv context so in
let new_ty = S.subst ~avoid_beta_redexes:true arg de in
(*prerr_endline ("so: " ^ PP.ppterm ~subst ~metasenv:[]
~context so);
| C.Meta _ -> true::(aux context new_ty tl)
| _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf
"Prod: the type %s of the source of %s is not a sort"
- (PP.ppterm ~subst ~metasenv:[] ~context sort)
- (PP.ppterm ~subst ~metasenv:[] ~context so)))))
+ (PP.ppterm ~subst ~metasenv ~context sort)
+ (PP.ppterm ~subst ~metasenv ~context so)))))
| _ ->
raise
(TypeCheckerFailure
(lazy (Printf.sprintf
"Appl: %s is not a function, it cannot be applied"
- (PP.ppterm ~subst ~metasenv:[] ~context
+ (PP.ppterm ~subst ~metasenv ~context
(let res = List.length tl in
let eaten = List.length args - res in
(C.Appl
| name,C.Def (te,ty) ->
ignore (typeof ~metasenv ~subst:[] context ty);
let ty' = typeof ~metasenv ~subst:[] context te in
- if not (R.are_convertible ~subst get_relevance context ty' ty) then
+ if not (R.are_convertible ~metasenv ~subst context ty' ty) then
raise (AssertFailure (lazy (Printf.sprintf (
"the type of the definiens for %s in the context is not "^^
"convertible with the declared one.\n"^^
typecheck_context ~metasenv ~subst context;
ignore (typeof ~metasenv ~subst context ty);
let ty' = typeof ~metasenv ~subst context bo in
- if not (R.are_convertible ~subst get_relevance context ty' ty) then
+ if not (R.are_convertible ~metasenv ~subst context ty' ty) then
raise (AssertFailure (lazy (Printf.sprintf (
"the type of the definiens for %d in the substitution is not "^^
"convertible with the declared one.\n"^^
| C.Constant (relevance,_,Some te,ty,_) ->
let _ = typeof ~subst ~metasenv [] ty in
let ty_te = typeof ~subst ~metasenv [] te in
- if not (R.are_convertible ~subst get_relevance [] ty_te ty) then
+ if not (R.are_convertible ~metasenv ~subst [] ty_te ty) then
raise (TypeCheckerFailure (lazy (Printf.sprintf (
"the type of the body is not convertible with the declared one.\n"^^
"inferred type:\n%s\nexpected type:\n%s")
in
List.iter2 (fun (_,_,x,ty,_) bo ->
let ty_bo = typeof ~subst ~metasenv types bo in
- if not (R.are_convertible ~subst get_relevance types ty_bo ty)
+ if not (R.are_convertible ~metasenv ~subst types ty_bo ty)
then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies")))
else
if inductive then begin
typecheck_obj obj)
;;
+let _ = NCicReduction.set_get_relevance get_relevance;;
+
(* EOF *)
projects / helm.git / blobdiff