X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FnCicTypeChecker.ml;h=464186f2e0d1cdf91798761326cc524637733bdb;hb=1df8405217896500edba22b61653e03b5289747c;hp=7995f5c8720e5903501b2e5fa22424c0b91182bc;hpb=1441da29ab40f8c93cf1cae9ca3333867da57484;p=helm.git diff --git a/helm/software/components/ng_kernel/nCicTypeChecker.ml b/helm/software/components/ng_kernel/nCicTypeChecker.ml index 7995f5c87..464186f2e 100644 --- a/helm/software/components/ng_kernel/nCicTypeChecker.ml +++ b/helm/software/components/ng_kernel/nCicTypeChecker.ml @@ -12,8 +12,8 @@ (* $Id$ *) module C = NCic -module R = NCicReduction module Ref = NReference +module R = NCicReduction module S = NCicSubstitution module U = NCicUtils module E = NCicEnvironment @@ -22,6 +22,13 @@ module PP = NCicPp exception TypeCheckerFailure of string Lazy.t exception AssertFailure of string Lazy.t +(* +let raise = function + | TypeCheckerFailure s as e -> prerr_endline (Lazy.force s); raise e + | e -> raise e +;; +*) + type recf_entry = | Evil of int (* rno *) | UnfFix of bool list (* fixed arguments *) @@ -52,6 +59,7 @@ let get_fixed_args i l = let shift_k e (c,rf,x) = e::c,List.map (fun (k,v) -> k+1,v) rf,x+1;; +(* for debugging only let string_of_recfuns ~subst ~metasenv ~context l = let pp = PP.ppterm ~subst ~metasenv ~context in let safe, rest = List.partition (function (_,Safe) -> true | _ -> false) l in @@ -67,6 +75,7 @@ let string_of_recfuns ~subst ~metasenv ~context l = (function (i,Evil rno)->pp(C.Rel i)^"/"^string_of_int rno | _ -> assert false) dang) ;; +*) let fixed_args bos j n nn = let rec aux k acc = function @@ -75,7 +84,7 @@ let fixed_args bos j n nn = match l1,l2 with [],[] -> [] | he1::tl1, he2::tl2 -> (he1,he2)::combine tl1 tl2 - | he::tl, [] -> (false,C.Rel ~-1)::combine tl [] (* dummy term *) + | _::tl, [] -> (false,C.Rel ~-1)::combine tl [] (* dummy term *) | [],_::_ -> assert false in let lefts, _ = HExtlib.split_nth (min j (List.length args)) args in @@ -87,17 +96,12 @@ let fixed_args bos j n nn = (let rec f = function 0 -> [] | n -> true :: f (n-1) in f j) bos ;; -let rec list_iter_default2 f l1 def l2 = - match l1,l2 with - | [], _ -> () - | a::ta, b::tb -> f a b; list_iter_default2 f ta def tb - | a::ta, [] -> f a def; list_iter_default2 f ta def [] -;; - +(* if n < 0, then splits all prods from an arity, returning a sort *) let rec split_prods ~subst context n te = match (n, R.whd ~subst context te) with | (0, _) -> context,te - | (n, C.Prod (name,so,ta)) when n > 0 -> + | (n, C.Sort _) when n <= 0 -> context,te + | (n, C.Prod (name,so,ta)) -> split_prods ~subst ((name,(C.Decl so))::context) (n - 1) ta | (_, _) -> raise (AssertFailure (lazy "split_prods")) ;; @@ -109,8 +113,8 @@ let debruijn uri number_of_types context = let l1 = HExtlib.sharing_map (aux (k-s)) l in if l1 == l then t else C.Meta (i,(s,C.Ctx l1)) | C.Meta _ -> t - | C.Const (Ref.Ref (_,uri1,(Ref.Fix (no,_) | Ref.CoFix no))) - | C.Const (Ref.Ref (_,uri1,Ref.Ind (_,no))) when NUri.eq uri uri1 -> + | C.Const (Ref.Ref (uri1,(Ref.Fix (no,_,_) | Ref.CoFix no))) + | C.Const (Ref.Ref (uri1,Ref.Ind (_,no,_))) when NUri.eq uri uri1 -> C.Rel (k + number_of_types - no) | t -> U.map (fun _ k -> k+1) k aux t in @@ -121,11 +125,9 @@ let sort_of_prod ~metasenv ~subst context (name,s) (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 s1, C.Sort C.Prop -> t2 - | C.Sort (C.Type u1), C.Sort (C.Type u2) -> C.Sort (C.Type (max u1 u2)) - | C.Sort _,C.Sort (C.Type _) -> t2 - | C.Sort (C.Type _) , C.Sort C.CProp -> t1 - | C.Sort _, C.Sort C.CProp + | 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 @@ -136,45 +138,7 @@ let sort_of_prod ~metasenv ~subst context (name,s) (t1, t2) = (PP.ppterm ~subst ~metasenv ~context t2)))) ;; -let 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 (n,s,t) -> -(* - prerr_endline (PP.ppterm ~subst ~metasenv ~context s ^ " - Vs - " - ^ PP.ppterm ~subst ~metasenv ~context ty_arg); - prerr_endline (PP.ppterm ~subst ~metasenv ~context - (S.subst ~avoid_beta_redexes:true arg t)); -*) - if R.are_convertible ~subst context ty_arg s then - aux (S.subst ~avoid_beta_redexes:true arg t) tl - else - raise - (TypeCheckerFailure - (lazy (Printf.sprintf - ("Appl: wrong application of %s: the parameter %s has type"^^ - "\n%s\nbut it should have type \n%s\nContext:\n%s\n") - (PP.ppterm ~subst ~metasenv ~context he) - (PP.ppterm ~subst ~metasenv ~context arg) - (PP.ppterm ~subst ~metasenv ~context ty_arg) - (PP.ppterm ~subst ~metasenv ~context s) - (PP.ppcontext ~subst ~metasenv context)))) - | _ -> - 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_with_ty - res in - (C.Appl - (he::List.map fst - (fst (HExtlib.split_nth eaten args_with_ty))))))))) - in - aux ty_he args_with_ty -;; +(* 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|} *) @@ -182,15 +146,15 @@ let rec instantiate_parameters params c = match c, params with | c,[] -> c | C.Prod (_,_,ta), he::tl -> instantiate_parameters tl (S.subst he ta) - | t,l -> raise (AssertFailure (lazy "1")) + | _,_ -> raise (AssertFailure (lazy "1")) ;; let specialize_inductive_type_constrs ~subst context ty_term = match R.whd ~subst context ty_term with - | C.Const (Ref.Ref (_,uri,Ref.Ind (_,i)) as ref) - | C.Appl (C.Const (Ref.Ref (_,uri,Ref.Ind (_,i)) as ref) :: _ ) as ty -> + | C.Const (Ref.Ref (_,Ref.Ind _) as ref) + | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as ref) :: _ ) as ty -> let args = match ty with C.Appl (_::tl) -> tl | _ -> [] in - let is_ind, leftno, itl, attrs, i = E.get_checked_indtys ref in + let _, leftno, itl, _, i = E.get_checked_indtys ref in let left_args,_ = HExtlib.split_nth leftno args in let _,_,_,cl = List.nth itl i in List.map @@ -203,7 +167,7 @@ let specialize_and_abstract_constrs ~subst r_uri r_len context ty_term = let len = List.length context in let context_dcl = match E.get_checked_obj r_uri with - | _,_,_,_, NCic.Inductive (_,_,tys,_) -> + | _,_,_,_, C.Inductive (_,_,tys,_) -> context @ List.map (fun (_,name,arity,_) -> name,C.Decl arity) tys | _ -> assert false in @@ -239,6 +203,30 @@ let does_not_occur ~subst context n nn t = with DoesOccur -> false ;; +let rec eat_lambdas ~subst ~metasenv context n te = + match (n, R.whd ~subst context te) with + | (0, _) -> (te, context) + | (n, C.Lambda (name,so,ta)) when n > 0 -> + eat_lambdas ~subst ~metasenv ((name,(C.Decl so))::context) (n - 1) ta + | (n, te) -> + raise (AssertFailure (lazy (Printf.sprintf "eat_lambdas (%d, %s)" n + (PP.ppterm ~subst ~metasenv ~context te)))) +;; + +let rec eat_or_subst_lambdas + ~subst ~metasenv n te to_be_subst args (context,_,_ as k) += + match n, R.whd ~subst context te, to_be_subst, args with + | (n, C.Lambda (_,_,ta),true::to_be_subst,arg::args) when n > 0 -> + eat_or_subst_lambdas ~subst ~metasenv (n - 1) (S.subst arg ta) + to_be_subst args k + | (n, C.Lambda (name,so,ta),false::to_be_subst,_::args) when n > 0 -> + eat_or_subst_lambdas ~subst ~metasenv (n - 1) ta to_be_subst args + (shift_k (name,(C.Decl so)) k) + | (_, te, _, _) -> te, k +;; + + (*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 *) @@ -246,17 +234,17 @@ let does_not_occur ~subst context n nn t = (*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!*) - let dummy = C.Sort (C.Type ~-1) in + let dummy = C.Sort C.Prop in (*CSC: mettere 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))))::tl) + | 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 | 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 _)))::_) + | 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 -> @@ -282,7 +270,7 @@ and strictly_positive ~subst context n nn te = 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 - | C.Appl (C.Const (Ref.Ref (_,uri,Ref.Ind (_,i)) as r)::tl) -> + | 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 let ok = List.length tyl = 1 in @@ -307,8 +295,8 @@ and are_all_occurrences_positive ~subst context uri indparamsno i n nn te = if k = 0 then 0 else match R.whd context x with - | C.Rel m when m = n - (indparamsno - k) -> k - 1 - | y -> raise (TypeCheckerFailure (lazy + | 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)))) @@ -340,6 +328,7 @@ 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)))) @@ -357,8 +346,11 @@ let rec typeof ~subst ~metasenv context term = | (_,C.Decl ty) -> S.lift n ty | (_,C.Def (_,ty)) -> S.lift n ty with Failure _ -> raise (TypeCheckerFailure (lazy "unbound variable"))) - | C.Sort (C.Type i) -> C.Sort (C.Type (i+1)) - | C.Sort s -> C.Sort (C.Type 0) + | C.Sort (C.Type [false,u]) -> C.Sort (C.Type [true, u]) + | C.Sort (C.Type _) -> + raise (AssertFailure (lazy ("Cannot type an inferred type: "^ + NCicPp.ppterm ~subst ~metasenv ~context t))) + | C.Sort _ -> C.Sort (C.Type NCicEnvironment.type0) | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found")) | C.Meta (n,l) as t -> let canonical_ctx,ty = @@ -393,7 +385,7 @@ let rec typeof ~subst ~metasenv context term = | 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 context ty ty_t) then + if not (R.are_convertible ~subst get_relevance context ty_t ty) then raise (TypeCheckerFailure (lazy (Printf.sprintf @@ -407,18 +399,11 @@ let rec typeof ~subst ~metasenv context term = | C.Appl (he::(_::_ as args)) -> let ty_he = typeof_aux context he in let args_with_ty = List.map (fun t -> t, typeof_aux context t) args in -(* - prerr_endline ("HEAD: " ^ PP.ppterm ~subst ~metasenv ~context ty_he); - prerr_endline ("TARGS: " ^ String.concat " | " (List.map (PP.ppterm - ~subst ~metasenv ~context) (List.map snd args_with_ty))); - prerr_endline ("ARGS: " ^ String.concat " | " (List.map (PP.ppterm - ~subst ~metasenv ~context) (List.map fst args_with_ty))); -*) eat_prods ~subst ~metasenv context he ty_he args_with_ty | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2")) - | C.Match (Ref.Ref (_,_,Ref.Ind (_,tyno)) as r,outtype,term,pl) -> + | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,outtype,term,pl) -> let outsort = typeof_aux context outtype in - let inductive,leftno,itl,_,_ = E.get_checked_indtys r in + let _,leftno,itl,_,_ = E.get_checked_indtys r in let constructorsno = let _,_,_,cl = List.nth itl tyno in List.length cl in @@ -426,8 +411,8 @@ let rec typeof ~subst ~metasenv context term = let ty = R.whd ~subst context (typeof_aux context term) in let r',tl = match ty with - C.Const (Ref.Ref (_,_,Ref.Ind _) as r') -> r',[] - | C.Appl (C.Const (Ref.Ref (_,_,Ref.Ind _) as r') :: tl) -> r',tl + C.Const (Ref.Ref (_,Ref.Ind _) as r') -> r',[] + | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as r') :: tl) -> r',tl | _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf @@ -471,7 +456,7 @@ let rec typeof ~subst ~metasenv context term = let ty_branch = type_of_branch ~subst context leftno outtype cons ty_cons 0 in - j+1, R.are_convertible ~subst context ty_p ty_branch, + j+1, R.are_convertible ~subst get_relevance context ty_p ty_branch, ty_p, ty_branch else j,false,old_p_ty,old_exp_p_ty @@ -493,8 +478,8 @@ let rec typeof ~subst ~metasenv context term = 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) -> + | 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) -> @@ -533,7 +518,7 @@ let rec typeof ~subst ~metasenv context term = (_,C.Decl t1), (_,C.Decl t2) | (_,C.Def (t1,_)), (_,C.Def (t2,_)) | (_,C.Def (_,t1)), (_,C.Decl t2) -> - if not (R.are_convertible ~subst tl t1 t2) then + if not (R.are_convertible ~subst get_relevance tl t1 t2) then raise (TypeCheckerFailure (lazy (Printf.sprintf @@ -584,7 +569,7 @@ let rec typeof ~subst ~metasenv context term = with Failure _ -> t) | _ -> t in - if not (R.are_convertible ~subst context optimized_t ct) + if not (R.are_convertible ~subst get_relevance context optimized_t ct) then raise (TypeCheckerFailure @@ -595,7 +580,7 @@ let rec typeof ~subst ~metasenv context term = (PP.ppterm ~subst ~metasenv ~context t)))) | t, (_,C.Decl ct) -> let type_t = typeof_aux context t in - if not (R.are_convertible ~subst context type_t ct) then + if not (R.are_convertible ~subst get_relevance context type_t ct) then raise (TypeCheckerFailure (lazy (Printf.sprintf ("Not well typed metavariable local context: "^^ @@ -610,16 +595,6 @@ let rec typeof ~subst ~metasenv context term = "Local and canonical context %s have different lengths" (PP.ppterm ~subst ~metasenv ~context term)))) - and is_non_informative context paramsno c = - let rec aux context c = - match R.whd context c with - | C.Prod (n,so,de) -> - let s = typeof_aux context so in - s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de - | _ -> true in - let context',dx = split_prods ~subst:[] context paramsno c in - aux context' dx - and check_allowed_sort_elimination ~subst ~metasenv r = let mkapp he arg = match he with @@ -630,7 +605,7 @@ let rec typeof ~subst ~metasenv context term = 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 context so1 so2) then + 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) @@ -639,29 +614,29 @@ let rec typeof ~subst ~metasenv context term = 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 context so ind) then + 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,ta with - | (C.Sort (C.CProp | C.Type _), C.Sort _) + (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.CProp | C.Type _)) -> + | (C.Sort C.Prop, C.Sort C.Type _) -> (* TODO: we should pass all these parameters since we * have them already *) - let inductive,leftno,itl,_,i = E.get_checked_indtys r in + let _,leftno,itl,_,i = E.get_checked_indtys r in let itl_len = List.length itl in - let _,name,ty,cl = List.nth itl i 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 [name,C.Decl ty] leftno - (let _,_,x = List.nth cl 0 in x))) + is_non_informative leftno + (let _,_,x = List.hd cl in x))) then raise (TypeCheckerFailure (lazy ("Sort elimination not allowed"))); @@ -673,52 +648,148 @@ let rec typeof ~subst ~metasenv context term = in typeof_aux context term -and check_mutual_inductive_defs uri ~metasenv ~subst is_ind leftno tyl = +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 + aux (S.subst ~avoid_beta_redexes:true arg t) tl + else + raise + (TypeCheckerFailure + (lazy (Printf.sprintf + ("Appl: wrong application of %s: the parameter %s has type"^^ + "\n%s\nbut it should have type \n%s\nContext:\n%s\n") + (PP.ppterm ~subst ~metasenv ~context he) + (PP.ppterm ~subst ~metasenv ~context arg) + (PP.ppterm ~subst ~metasenv ~context ty_arg) + (PP.ppterm ~subst ~metasenv ~context s) + (PP.ppcontext ~subst ~metasenv context)))) + | _ -> + 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_with_ty - res in + (C.Appl + (he::List.map fst + (fst (HExtlib.split_nth eaten args_with_ty))))))))) + in + aux ty_he args_with_ty + +and is_non_informative 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 + s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de + | _ -> true in + 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; (* let's check if the types of the inductive constructors are well formed. *) let len = List.length tyl in - let tys = List.rev (List.map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl) in + let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in ignore (List.fold_right - (fun (_,_,_,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 (_,name,te) -> - let debruijnedte = debruijn uri len [] te in - ignore (typeof ~subst ~metasenv tys debruijnedte); + (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 = + HExtlib.split_nth (List.length tys) (List.rev context) in + let sx_context_te_rev,_ = + HExtlib.split_nth leftno chopped_context_rev in + (try + ignore (List.fold_left2 + (fun context item1 item2 -> + 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,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 + | _,_ -> false + in + if not convertible then + raise (TypeCheckerFailure (lazy + ("Mismatch between the left parameters of the constructor " ^ + "and those of its inductive type"))) + else + item1::context + ) [] sx_context_ty_rev sx_context_te_rev) + with Invalid_argument _ -> 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) -> + if not (E.universe_leq u1 u2) then + raise + (TypeCheckerFailure + (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^ + " of the constructor is not included in the inductive" ^ + " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2))) + | C.Sort _, C.Sort C.Prop + | C.Sort _, C.Sort C.Type _ -> () + | _, _ -> + raise + (TypeCheckerFailure + (lazy ("Wrong constructor or inductive arity shape")))); (* let's check also the positivity conditions *) if not - (are_all_occurrences_positive ~subst tys uri leftno i 0 len - debruijnedte) + (are_all_occurrences_positive ~subst context uri leftno + (i+leftno) leftno (len+leftno) te) 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 eat_lambdas ~subst ~metasenv context n te = - match (n, R.whd ~subst context te) with - | (0, _) -> (te, context) - | (n, C.Lambda (name,so,ta)) when n > 0 -> - eat_lambdas ~subst ~metasenv ((name,(C.Decl so))::context) (n - 1) ta - | (n, te) -> - raise (AssertFailure (lazy (Printf.sprintf "eat_lambdas (%d, %s)" n - (PP.ppterm ~subst ~metasenv ~context te)))) - -and eat_or_subst_lambdas ~subst ~metasenv n te to_be_subst args - (context, recfuns, x as k) -= - match n, R.whd ~subst context te, to_be_subst, args with - | (n, C.Lambda (name,so,ta),true::to_be_subst,arg::args) when n > 0 -> - eat_or_subst_lambdas ~subst ~metasenv (n - 1) (S.subst arg ta) - to_be_subst args k - | (n, C.Lambda (name,so,ta),false::to_be_subst,arg::args) when n > 0 -> - eat_or_subst_lambdas ~subst ~metasenv (n - 1) ta to_be_subst args - (shift_k (name,(C.Decl so)) k) - | (_, te, _, _) -> te, k +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 @@ -751,13 +822,14 @@ and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t = List.iter (aux k) tl | C.Appl ((C.Rel m)::tl) when is_unfolded m recfuns -> let fixed_args = get_fixed_args m recfuns in - list_iter_default2 (fun x b -> if not b then aux k x) tl false fixed_args + HExtlib.list_iter_default2 + (fun x b -> if not b then aux k x) tl false fixed_args | C.Rel m -> (match List.nth context (m-1) with | _,C.Decl _ -> () | _,C.Def (bo,_) -> aux k (S.lift m bo)) | C.Meta _ -> () - | C.Appl (C.Const ((Ref.Ref (_,uri,Ref.Fix (i,recno))) as r)::args) -> + | C.Appl (C.Const ((Ref.Ref (uri,Ref.Fix (i,recno,_))) as r)::args) -> if List.exists (fun t -> try aux k t;false with NotGuarded _ -> true) args then let fl,_,_ = E.get_checked_fixes_or_cofixes r in @@ -770,7 +842,8 @@ and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t = let ctx_len = List.length context in (* we may look for fixed params not only up to j ... *) let fa = fixed_args bos j ctx_len (ctx_len + fl_len) in - list_iter_default2 (fun x b -> if not b then aux k x) args false fa; + HExtlib.list_iter_default2 + (fun x b -> if not b then aux k x) args false fa; let context = context@ctx_tys in let ctx_len = List.length context in let extra_recfuns = @@ -805,7 +878,7 @@ and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t = ) bos in List.iter (fun (bo,k) -> aux k bo) bos_and_ks - | C.Match (Ref.Ref (_,uri,Ref.Ind (true,_)),outtype,term,pl) as t -> + | C.Match (Ref.Ref (_,Ref.Ind (true,_,_)),outtype,term,pl) as t -> (match R.whd ~subst context term with | C.Rel m | C.Appl (C.Rel m :: _ ) as t when is_safe m recfuns || m = x -> let ty = typeof ~subst ~metasenv context term in @@ -839,16 +912,15 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn = | C.Sort _ | C.Implicit _ | C.Prod _ - | C.Const (Ref.Ref (_,_,Ref.Ind _)) + | C.Const (Ref.Ref (_,Ref.Ind _)) | C.LetIn _ -> raise (AssertFailure (lazy "17")) | C.Lambda (name,so,de) -> does_not_occur ~subst context n nn so && aux ((name,C.Decl so)::context) (n + 1) (nn + 1) h de | C.Appl ((C.Rel m)::tl) when m > n && m <= nn -> h && List.for_all (does_not_occur ~subst context n nn) tl - | C.Const (Ref.Ref (_,_,Ref.Con _)) -> true - | C.Appl (C.Const (Ref.Ref (_,uri, Ref.Con (_,j)) as ref) :: tl) as t -> - let _, paramsno, _, _, _ = E.get_checked_indtys ref in + | C.Const (Ref.Ref (_,Ref.Con _)) -> true + | C.Appl (C.Const (Ref.Ref (_, Ref.Con (_,j,paramsno))) :: tl) as t -> let ty_t = typeof ~subst ~metasenv context t in let dc_ctx, dcl, start, stop = specialize_and_abstract_constrs ~subst indURI indlen context ty_t in @@ -877,8 +949,8 @@ 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 - | 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 -> + | 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 let fl,_,_ = E.get_checked_fixes_or_cofixes ref in let len = List.length fl in @@ -923,15 +995,13 @@ and is_really_smaller | C.Appl (he::_) -> is_really_smaller r_uri r_len ~subst ~metasenv k he | C.Rel _ - | C.Const (Ref.Ref (_,_,Ref.Con _)) -> false + | C.Const (Ref.Ref (_,Ref.Con _)) -> false | C.Appl [] - | C.Const (Ref.Ref (_,_,Ref.Fix _)) -> assert false + | C.Const (Ref.Ref (_,Ref.Fix _)) -> assert false | C.Meta _ -> true - | C.Match (Ref.Ref (_,uri,_) as ref,outtype,term,pl) -> + | C.Match (Ref.Ref (_,Ref.Ind (isinductive,_,_)),_,term,pl) -> (match term with | C.Rel m | C.Appl (C.Rel m :: _ ) when is_safe m recfuns || m = x -> - (* TODO: add CoInd to references so that this call is useless *) - let isinductive, _, _, _, _ = E.get_checked_indtys ref in if not isinductive then List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl else @@ -949,27 +1019,73 @@ and is_really_smaller and returns_a_coinductive ~subst context ty = match R.whd ~subst context ty with - | C.Const (Ref.Ref (_,uri,Ref.Ind (false,_)) as ref) - | C.Appl (C.Const (Ref.Ref (_,uri,Ref.Ind (false,_)) as ref)::_) -> + | C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref) + | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)::_) -> let _, _, itl, _, _ = E.get_checked_indtys ref in Some (uri,List.length itl) | C.Prod (n,so,de) -> returns_a_coinductive ~subst ((n,C.Decl so)::context) de | _ -> None -and type_of_constant ((Ref.Ref (_,uri,_)) as ref) = +and type_of_constant ((Ref.Ref (uri,_)) as ref) = + let error () = + raise (TypeCheckerFailure (lazy "Inconsistent cached infos in reference")) + in match E.get_checked_obj uri, ref with - | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,_,Ref.Ind (_,i)) -> + | (_,_,_,_,C.Inductive(isind1,lno1,tl,_)),Ref.Ref(_,Ref.Ind (isind2,i,lno2))-> + if isind1 <> isind2 || lno1 <> lno2 then error (); let _,_,arity,_ = List.nth tl i in arity - | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,_,Ref.Con (i,j)) -> + | (_,_,_,_,C.Inductive (_,lno1,tl,_)), Ref.Ref (_,Ref.Con (i,j,lno2)) -> + if lno1 <> lno2 then error (); let _,_,_,cl = List.nth tl i in let _,_,arity = List.nth cl (j-1) in arity - | (_,_,_,_,C.Fixpoint (_,fl,_)), Ref.Ref (_,_,(Ref.Fix (i,_)|Ref.CoFix i)) -> + | (_,_,_,_,C.Fixpoint (false,fl,_)), Ref.Ref (_,Ref.CoFix i) -> let _,_,_,arity,_ = List.nth fl i in arity - | (_,_,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,_,(Ref.Def |Ref.Decl)) -> ty + | (_,h1,_,_,C.Fixpoint (true,fl,_)), Ref.Ref (_,Ref.Fix (i,recno2,h2)) -> + let _,_,recno1,arity,_ = List.nth fl i in + if h1 <> h2 || recno1 <> recno2 then error (); + arity + | (_,_,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,Ref.Decl) -> ty + | (_,h1,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,Ref.Def h2) -> + if h1 <> h2 then error (); + ty | _ -> raise (AssertFailure (lazy "type_of_constant: environment/reference")) + +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 (name,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 = @@ -982,13 +1098,12 @@ let typecheck_context ~metasenv ~subst context = | 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 context ty' ty) then + if not (R.are_convertible ~subst get_relevance 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"^^ "inferred type:\n%s\nexpected type:\n%s") - name - (PP.ppterm ~subst ~metasenv ~context ty') + name (PP.ppterm ~subst ~metasenv ~context ty') (PP.ppterm ~subst ~metasenv ~context ty)))) end; d::context @@ -1021,7 +1136,7 @@ let typecheck_subst ~metasenv subst = 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 context ty' ty) then + if not (R.are_convertible ~subst get_relevance 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"^^ @@ -1033,27 +1148,63 @@ let typecheck_subst ~metasenv subst = ) [] subst) ;; -let typecheck_obj (uri,height,metasenv,subst,kind) = +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 typecheck_obj (uri,_height,metasenv,subst,kind) = + (* height is not checked since it is only used to implement an optimization *) typecheck_metasenv metasenv; typecheck_subst ~metasenv subst; match kind with - | C.Constant (_,_,Some te,ty,_) -> + | 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 [] ty_te ty) then + if not (R.are_convertible ~subst get_relevance [] 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") (PP.ppterm ~subst ~metasenv ~context:[] ty_te) - (PP.ppterm ~subst ~metasenv ~context:[] ty)))) - | C.Constant (_,_,None,ty,_) -> ignore (typeof ~subst ~metasenv [] ty) - | C.Inductive (is_ind, leftno, tyl, _) -> - check_mutual_inductive_defs uri ~metasenv ~subst is_ind leftno tyl + (PP.ppterm ~subst ~metasenv ~context:[] 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 + | C.Inductive (_, leftno, tyl, _) -> + check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl | C.Fixpoint (inductive,fl,_) -> let types, kl = List.fold_left - (fun (types,kl) (_,name,k,ty,_) -> + (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 @@ -1065,9 +1216,9 @@ let typecheck_obj (uri,height,metasenv,subst,kind) = dbo, Evil rno) fl kl) in - List.iter2 (fun (_,name,x,ty,_) bo -> + List.iter2 (fun (_,_,x,ty,_) bo -> let ty_bo = typeof ~subst ~metasenv types bo in - if not (R.are_convertible ~subst types ty_bo ty) + if not (R.are_convertible ~subst get_relevance types ty_bo ty) then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies"))) else if inductive then begin @@ -1077,8 +1228,8 @@ let typecheck_obj (uri,height,metasenv,subst,kind) = match List.hd context with _,C.Decl t -> t | _ -> assert false in match R.whd ~subst (List.tl context) he with - | C.Const (Ref.Ref (_,uri,Ref.Ind _) as ref) - | C.Appl (C.Const (Ref.Ref (_,uri,Ref.Ind _) as ref) :: _) -> + | C.Const (Ref.Ref (uri,Ref.Ind _) as ref) + | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as ref) :: _) -> let _,_,itl,_,_ = E.get_checked_indtys ref in uri, List.length itl | _ -> assert false