X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FnCicTypeChecker.ml;h=c68982ff7dddea804aba27eeb53b8f478d62cfdf;hb=341a777b344e7adb1e989dda3fdd643a3d9fb5f5;hp=5daea200c976f366fa55cc0e366adcb23bcd160b;hpb=a3b43762ca9cfb746933dcd991bfc363b5fdd9b7;p=helm.git diff --git a/helm/software/components/ng_kernel/nCicTypeChecker.ml b/helm/software/components/ng_kernel/nCicTypeChecker.ml index 5daea200c..c68982ff7 100644 --- a/helm/software/components/ng_kernel/nCicTypeChecker.ml +++ b/helm/software/components/ng_kernel/nCicTypeChecker.ml @@ -138,8 +138,6 @@ let sort_of_prod ~metasenv ~subst context (name,s) (t1, t2) = (PP.ppterm ~subst ~metasenv ~context t2)))) ;; -(* REMINDER: eat_prods was here *) - (* instantiate_parameters ps (x1:T1)...(xn:Tn)C *) (* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *) let rec instantiate_parameters params c = @@ -226,50 +224,73 @@ let rec eat_or_subst_lambdas | (_, te, _, _) -> te, k ;; +let check_homogeneous_call ~subst context indparamsno n uri reduct tl = + let last = + List.fold_left + (fun k x -> + if k = 0 then 0 + else + match R.whd context x with + | C.Rel m when m = n - (indparamsno - k) -> k - 1 + | _ -> raise (TypeCheckerFailure (lazy + ("Argument "^string_of_int (indparamsno - k + 1) ^ " (of " ^ + string_of_int indparamsno ^ " fixed) is not homogeneous in "^ + "appl:\n"^ PP.ppterm ~context ~subst ~metasenv:[] reduct)))) + indparamsno tl + in + if last <> 0 then + raise (TypeCheckerFailure + (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^ + NUri.string_of_uri uri))) +;; -(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *) -(*CSC questa funzione e' simile alla are_all_occurrences_positive, ma fa *) -(*CSC dei controlli leggermente diversi. Viene invocata solamente dalla *) -(*CSC strictly_positive *) -(*CSC definizione (giusta???) tratta dalla mail di Hugo ;-) *) -let rec weakly_positive ~subst context n nn uri te = -(*CSC: Che schifo! Bisogna capire meglio e trovare una soluzione ragionevole!*) +(* Inductive types being checked for positivity have *) +(* indexes x s.t. n < x <= nn. *) +let rec weakly_positive ~subst context n nn uri indparamsno posuri te = + (*CSC: Not very nice. *) let dummy = C.Sort C.Prop in - (*CSC: mettere in cicSubstitution *) + (*CSC: to be moved in cicSubstitution? *) let rec subst_inductive_type_with_dummy _ = function | C.Const (Ref.Ref (uri',Ref.Ind (true,0,_))) when NUri.eq uri' uri -> dummy - | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind (true,0,_))))::_) - when NUri.eq uri' uri -> dummy + | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind (true,0,lno))))::tl) + when NUri.eq uri' uri -> + let _, rargs = HExtlib.split_nth lno tl in + if rargs = [] then dummy else C.Appl (dummy :: rargs) | t -> U.map (fun _ x->x) () subst_inductive_type_with_dummy t in - match R.whd context te with - | C.Const (Ref.Ref (uri',Ref.Ind _)) - | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind _)))::_) - when NUri.eq uri' uri -> true - | C.Prod (name,source,dest) when - does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest -> - (* dummy abstraction, so we behave as in the anonimous case *) - strictly_positive ~subst context n nn - (subst_inductive_type_with_dummy () source) && - weakly_positive ~subst ((name,C.Decl source)::context) - (n + 1) (nn + 1) uri dest - | C.Prod (name,source,dest) -> - does_not_occur ~subst context n nn - (subst_inductive_type_with_dummy () source)&& - weakly_positive ~subst ((name,C.Decl source)::context) - (n + 1) (nn + 1) uri dest - | _ -> - raise (TypeCheckerFailure (lazy "Malformed inductive constructor type")) + (* this function has the same semantics of are_all_occurrences_positive + but the i-th context entry role is played by dummy and some checks + are skipped because we already know that are_all_occurrences_positive + of uri in te. *) + let rec aux context n nn te = + match R.whd context te with + | t when t = dummy -> true + | C.Appl (te::rargs) when te = dummy -> + List.for_all (does_not_occur ~subst context n nn) rargs + | C.Prod (name,source,dest) when + does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest -> + (* dummy abstraction, so we behave as in the anonimous case *) + strictly_positive ~subst context n nn indparamsno posuri source && + aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest + | C.Prod (name,source,dest) -> + does_not_occur ~subst context n nn source && + aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest + | _ -> + raise (TypeCheckerFailure (lazy "Malformed inductive constructor type")) + in + aux context n nn (subst_inductive_type_with_dummy () te) -and strictly_positive ~subst context n nn te = +and strictly_positive ~subst context n nn indparamsno posuri te = match R.whd context te with | t when does_not_occur ~subst context n nn t -> true - | C.Rel _ -> true + | C.Rel _ when indparamsno = 0 -> true + | C.Appl ((C.Rel m)::tl) as reduct when m > n && m <= nn -> + check_homogeneous_call ~subst context indparamsno n posuri reduct tl; + List.for_all (does_not_occur ~subst context n nn) tl | C.Prod (name,so,ta) -> does_not_occur ~subst context n nn so && - strictly_positive ~subst ((name,C.Decl so)::context) (n+1) (nn+1) ta - | C.Appl ((C.Rel m)::tl) when m > n && m <= nn -> - List.for_all (does_not_occur ~subst context n nn) tl + strictly_positive ~subst ((name,C.Decl so)::context) (n+1) (nn+1) + indparamsno posuri ta | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as r)::tl) -> let _,paramsno,tyl,_,i = E.get_checked_indtys r in let _,name,ity,cl = List.nth tyl i in @@ -282,32 +303,16 @@ and strictly_positive ~subst context n nn te = ok && List.for_all (does_not_occur ~subst context n nn) arguments && List.for_all - (weakly_positive ~subst ((name,C.Decl ity)::context) (n+1) (nn+1) uri) cl + (weakly_positive ~subst ((name,C.Decl ity)::context) (n+1) (nn+1) + uri indparamsno posuri) cl | _ -> false (* the inductive type indexes are s.t. n < x <= nn *) and are_all_occurrences_positive ~subst context uri indparamsno i n nn te = match R.whd context te with | C.Appl ((C.Rel m)::tl) as reduct when m = i -> - let last = - List.fold_left - (fun k x -> - if k = 0 then 0 - else - match R.whd context x with - | C.Rel m when m = n - (indparamsno - k) -> k - 1 - | _ -> raise (TypeCheckerFailure (lazy - ("Argument "^string_of_int (indparamsno - k + 1) ^ " (of " ^ - string_of_int indparamsno ^ " fixed) is not homogeneous in "^ - "appl:\n"^ PP.ppterm ~context ~subst ~metasenv:[] reduct)))) - indparamsno tl - in - if last = 0 then - List.for_all (does_not_occur ~subst context n nn) tl - else - raise (TypeCheckerFailure - (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^ - NUri.string_of_uri uri))) + check_homogeneous_call ~subst context indparamsno n uri reduct tl; + List.for_all (does_not_occur ~subst context n nn) tl | C.Rel m when m = i -> if indparamsno = 0 then true @@ -315,9 +320,9 @@ and are_all_occurrences_positive ~subst context uri indparamsno i n nn te = 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 source && + strictly_positive ~subst context n nn indparamsno uri source && are_all_occurrences_positive ~subst ((name,C.Decl source)::context) uri indparamsno (i+1) (n + 1) (nn + 1) dest @@ -328,7 +333,6 @@ and are_all_occurrences_positive ~subst context uri indparamsno i n nn te = are_all_occurrences_positive ~subst ((name,C.Decl source)::context) uri indparamsno (i+1) (n + 1) (nn + 1) dest | _ -> -prerr_endline ("MM: " ^ NCicPp.ppterm ~subst ~metasenv:[] ~context te); raise (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^ (NUri.string_of_uri uri)))) @@ -628,15 +632,16 @@ let rec typeof ~subst ~metasenv context term = * 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 _,itname,ittype,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? *) + (* 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 && - is_non_informative leftno - (let _,_,x = List.hd cl in x))) + let _,_,constrty = List.hd cl in + is_non_recursive_singleton r itname ittype constrty && + is_non_informative leftno constrty)) then raise (TypeCheckerFailure (lazy ("Sort elimination not allowed"))); @@ -681,6 +686,11 @@ and eat_prods ~subst ~metasenv context he ty_he args_with_ty = in aux ty_he args_with_ty +and is_non_recursive_singleton (Ref.Ref (uri,_)) iname ity cty = + let ctx = [iname, C.Decl ity] in + let cty = debruijn uri 1 [] cty in + does_not_occur ~subst:[] ctx 0 1 cty + and is_non_informative paramsno c = let rec aux context c = match R.whd context c with @@ -691,7 +701,6 @@ and is_non_informative paramsno c = let context',dx = split_prods ~subst:[] [] paramsno c in aux context' dx - and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl = (* let's check if the arity of the inductive types are well formed *) List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl; @@ -700,11 +709,12 @@ and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl = let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in ignore (List.fold_right - (fun (_,_,ty,cl) i -> + (fun (it_relev,_,ty,cl) i -> let context,ty_sort = split_prods ~subst [] ~-1 ty in let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in List.iter - (fun (_,_,te) -> + (fun (k_relev,_,te) -> + let _,k_relev = HExtlib.split_nth leftno k_relev in let te = debruijn uri len [] te in let context,te = split_prods ~subst tys leftno te in let _,chopped_context_rev = @@ -755,11 +765,42 @@ and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl = then raise (TypeCheckerFailure - (lazy ("Non positive occurence in "^NUri.string_of_uri uri)))) + (lazy ("Non positive occurence in "^NUri.string_of_uri + uri))) + else check_relevance ~subst ~metasenv context k_relev te) cl; - i + 1) + check_relevance ~subst ~metasenv [] it_relev ty; + i+1) tyl 1) +and check_relevance ~subst ~metasenv context relevance ty = + let error context ty = + raise (TypeCheckerFailure + (lazy ("Wrong relevance declaration: " ^ + String.concat "," (List.map string_of_bool relevance)^ + "\nfor type: "^PP.ppterm ~metasenv ~subst ~context ty))) + in + let rec aux context relevance ty = + match R.whd ~subst context ty with + | C.Prod (name,so,de) -> + let sort = typeof ~subst ~metasenv context so in + (match (relevance,R.whd ~subst context sort) with + | [],_ -> () + | false::tl,C.Sort C.Prop -> aux ((name,(C.Decl so))::context) tl de + | true::_,C.Sort C.Prop + | false::_,C.Sort _ + | false::_,C.Meta _ -> error context ty + | true::tl,C.Sort _ + | true::tl,C.Meta _ -> aux ((name,(C.Decl so))::context) tl de + | _ -> raise (AssertFailure (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))))) + | _ -> (match relevance with + | [] -> () + | _::_ -> error context ty) + in aux context relevance ty + and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t = let recursor f k t = U.fold shift_k k (fun k () -> f k) () t in let rec aux (context, recfuns, x as k) t = @@ -908,8 +949,7 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn = ("Too many args for constructor: " ^ String.concat " " (List.map (fun x-> PP.ppterm ~subst ~metasenv ~context x) args)))) in - let left, args = HExtlib.split_nth paramsno tl in - List.for_all (does_not_occur ~subst context n nn) left && + let _, args = HExtlib.split_nth paramsno tl in analyse_instantiated_type rec_params args | C.Appl ((C.Match (_,out,te,pl))::_) | C.Match (_,out,te,pl) as t -> @@ -918,6 +958,9 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn = does_not_occur ~subst context n nn out && does_not_occur ~subst context n nn te && List.for_all (aux context n nn h) pl +(* IMPOSSIBLE unsless we allow to pass cofix to other fix/cofix as we do for + higher order fix in g_b_destructors. + | C.Const (Ref.Ref (u,(Ref.Fix _| Ref.CoFix _)) as ref) | C.Appl(C.Const (Ref.Ref(u,(Ref.Fix _| Ref.CoFix _)) as ref) :: _) as t -> let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in @@ -929,6 +972,7 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn = (fun (_,_,_,_,bo) -> aux (context@tys) n nn h (debruijn u len context bo)) fl +*) | C.Const _ | C.Appl _ as t -> does_not_occur ~subst context n nn t in @@ -1022,44 +1066,39 @@ and type_of_constant ((Ref.Ref (uri,_)) as ref) = ty | _ -> raise (AssertFailure (lazy "type_of_constant: environment/reference")) -and get_relevance ~subst context te args = - match te with - | C.Const r when List.length (E.get_relevance r) >= List.length args -> - let relevance = E.get_relevance r in - (match r with - | Ref.Ref (_,Ref.Con (_,_,lno)) -> - let _,relevance = HExtlib.split_nth lno relevance in - HExtlib.mk_list false lno @ relevance - | _ -> relevance) - | t -> - 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 (name,so,de) -> - let sort = typeof ~subst ~metasenv:[] context so in - let new_ty = S.subst ~avoid_beta_redexes:true arg de in - (match R.whd ~subst context sort with - | C.Sort C.Prop -> - false::(aux ((name,(C.Decl so))::context) new_ty tl) - | C.Sort _ - | C.Meta _ -> true::(aux ((name,(C.Decl so))::context) de 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))))) - | _ -> - raise - (TypeCheckerFailure - (lazy (Printf.sprintf - "Appl: %s is not a function, it cannot be applied" - (PP.ppterm ~subst ~metasenv:[] ~context - (let res = List.length tl in - let eaten = List.length args - res in - (C.Appl - (t::fst - (HExtlib.split_nth eaten args)))))))) - in aux context ty args +and get_relevance ~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 new_ty = S.subst ~avoid_beta_redexes:true arg de in + (*prerr_endline ("so: " ^ PP.ppterm ~subst ~metasenv:[] + ~context so); + prerr_endline ("sort: " ^ PP.ppterm ~subst ~metasenv:[] + ~context sort);*) + (match R.whd ~subst context sort with + | C.Sort C.Prop -> + false::(aux context new_ty tl) + | C.Sort _ + | 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))))) + | _ -> + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + "Appl: %s is not a function, it cannot be applied" + (PP.ppterm ~subst ~metasenv:[] ~context + (let res = List.length tl in + let eaten = List.length args - res in + (C.Appl + (t::fst + (HExtlib.split_nth eaten args)))))))) + in aux context ty args ;; let typecheck_context ~metasenv ~subst context = @@ -1122,124 +1161,6 @@ let typecheck_subst ~metasenv subst = ) [] subst) ;; -let check_rel1_irrelevant ~metasenv ~subst context = fun _ -> ();; -(* let shift e (k, context) = k+1,e::context in - let rec aux (evil, context as k) () t = - match R.whd ~subst context t with - | C.Rel i when i = evil -> (* - raise (TypeCheckerFailure (lazy (Printf.sprintf - "Argument %s declared as irrelevante is used in a relevant position" - (PP.ppterm ~subst ~metasenv ~context (C.Rel i))))) *) () - | C.Meta _ -> () - | C.Lambda (name,so,tgt) -> - (* checking so is not needed since the implicit version of CC - * has untyped lambdas (curry style), see Barras and Bernardo *) - aux (shift (name,C.Decl so) k) () tgt - | C.Appl (C.Const ref::args) -> - let relevance = NCicEnvironment.get_relevance ref in - HExtlib.list_iter_default2 - (fun t -> function false -> () | _ -> aux k () t) - args true relevance - | C.Match (_, _, _, []) -> () - | C.Match (ref, _, t, [p]) -> - aux k () p; - let _,lno,itl,_,_ = E.get_checked_indtys ref in - let _,_,_,cl = List.hd itl in - let _,_,c = List.hd cl in - if not (is_non_informative lno c) then aux k () t - | C.Match (_, _, t, pl) -> List.iter (aux k ()) (t::pl) - | t -> U.fold shift k aux () t - in - aux (1, context) () *) - -let check_relevance ~subst ~metasenv relevance ty = - let error () = - raise (TypeCheckerFailure - (lazy ("Wrong relevance declaration: " ^ - String.concat "," (List.map string_of_bool relevance)^ - "\nfor type: "^PP.ppterm ~metasenv ~subst ~context:[] ty))) - in - let rec aux context relevance ty = - match R.whd ~subst context ty with - | C.Prod (name,so,de) -> - let sort = typeof ~subst ~metasenv context so in - (match (relevance,R.whd ~subst context sort) with - | [],_ -> () - | false::tl,C.Sort C.Prop -> aux ((name,(C.Decl so))::context) tl de - | true::_,C.Sort C.Prop - | false::_,C.Sort _ - | false::_,C.Meta _ -> error () - | true::tl,C.Sort _ - | true::tl,C.Meta _ -> aux ((name,(C.Decl so))::context) tl de - | _ -> 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))))) - | _ -> (match relevance with - | [] -> () - | _::_ -> error ()) - in aux [] relevance ty -;; -(* old check_relevance - -let shift e (in_type, context, relevance) = - assert (relevance = []); in_type, e::context, relevance - in - let rec aux2 (_,context,relevance as k) t = - let error () = () (* - raise (TypeCheckerFailure - (lazy ("Wrong relevance declaration: " ^ - String.concat "," (List.map string_of_bool relevance)^ - "\nfor: "^PP.ppterm ~metasenv ~subst ~context t))) *) - in - let rec aux (in_type, context, relevance as k) () t = - match relevance, R.whd ~subst context t, in_type with - | _,C.Meta _,_ -> () - | true::tl,C.Lambda (name,so,t), false - | true::tl,C.Prod (name,so,t), true -> - aux (in_type, (name, C.Decl so)::context, tl) () t - | false::tl,C.Lambda (name,so,t), false - | false::tl,C.Prod (name,so,t), true -> - let context = (name, C.Decl so)::context in - check_rel1_irrelevant ~metasenv ~subst context t; - aux (in_type, context, tl) () t - | [], C.Match (ref,oty,t,pl), _ -> - aux k () t; - let _,lno,itl,_,i = E.get_checked_indtys ref in - let rel,_,_,cl = List.nth itl i in - let _, rel = - try HExtlib.split_nth lno rel - with Failure _ -> [],[] - in - aux2 (false, context, rel) oty; - List.iter2 - (fun p (rel,_,_) -> - let _,rel = - try HExtlib.split_nth lno rel - with Failure _ -> [],[] - in - aux2 (false, context, rel) p) - pl cl - | [],t,_ -> U.fold shift k aux () t - | rel1,C.Appl (C.Const ref :: args),_ -> - let relevance = E.get_relevance ref in - let _, relevance = - try HExtlib.split_nth (List.length args) relevance - with Failure _ -> [],[] - in - prerr_endline ("rimane: "^String.concat "," (List.map string_of_bool relevance)^ " contro "^ String.concat "," (List.map string_of_bool rel1) ); - HExtlib.list_iter_default2 (fun r1 r2 -> if not r1 && r2 then error ()) - rel1 true relevance - | rel1,C.Const ref,_ -> - let relevance = E.get_relevance ref in - HExtlib.list_iter_default2 (fun r1 r2 -> if not r1 && r2 then error ()) - rel1 true relevance - | _,_,_ -> error () - in - aux k () t - in - aux2 (in_type, [], relevance) -;;*) let typecheck_obj (uri,_height,metasenv,subst,kind) = (* height is not checked since it is only used to implement an optimization *) @@ -1255,11 +1176,11 @@ let typecheck_obj (uri,_height,metasenv,subst,kind) = "inferred type:\n%s\nexpected type:\n%s") (PP.ppterm ~subst ~metasenv ~context:[] ty_te) (PP.ppterm ~subst ~metasenv ~context:[] ty)))); - check_relevance ~subst ~metasenv relevance ty + check_relevance ~subst ~metasenv [] relevance ty (*check_relevance ~in_type:false ~subst ~metasenv relevance te*) | C.Constant (relevance,_,None,ty,_) -> ignore (typeof ~subst ~metasenv [] ty); - check_relevance ~subst ~metasenv relevance ty + check_relevance ~subst ~metasenv [] relevance ty | C.Inductive (_, leftno, tyl, _) -> check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl | C.Fixpoint (inductive,fl,_) -> @@ -1267,6 +1188,7 @@ let typecheck_obj (uri,_height,metasenv,subst,kind) = List.fold_left (fun (types,kl) (relevance,name,k,ty,_) -> let _ = typeof ~subst ~metasenv [] ty in + check_relevance ~subst ~metasenv [] relevance ty; ((name,C.Decl ty)::types, k::kl) ) ([],[]) fl in