X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_kernel%2FnCicTypeChecker.ml;h=bccf753f2dff61bb9d3d4ae7f18f8a096b229c04;hb=15bc0d34ae5f72cb31ec383e1ac48ad53f06a725;hp=1d34d3835697eb42121b9a449e6b79735e3f2e59;hpb=bace52692eba06fca2cc37857b61dadf5d280ffe;p=helm.git diff --git a/helm/software/components/ng_kernel/nCicTypeChecker.ml b/helm/software/components/ng_kernel/nCicTypeChecker.ml index 1d34d3835..bccf753f2 100644 --- a/helm/software/components/ng_kernel/nCicTypeChecker.ml +++ b/helm/software/components/ng_kernel/nCicTypeChecker.ml @@ -9,7 +9,7 @@ \ / This software is distributed as is, NO WARRANTY. V_______________________________________________________________ *) -(* $Id: nCicReduction.ml 8250 2008-03-25 17:56:20Z tassi $ *) +(* $Id$ *) module C = NCic module R = NCicReduction @@ -19,17 +19,14 @@ module U = NCicUtils module E = NCicEnvironment module PP = NCicPp -(* web interface stuff *) - -let logger = - ref (function (`Start_type_checking _|`Type_checking_completed _) -> ()) -;; - -let set_logger f = logger := f;; - 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 *) @@ -60,6 +57,7 @@ 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 @@ -75,6 +73,7 @@ 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 @@ -95,35 +94,27 @@ 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")) ;; -let debruijn ?(cb=fun _ _ -> ()) uri number_of_types context = +let debruijn uri number_of_types context = let rec aux k t = - let res = - match t with - | C.Meta (i,(s,C.Ctx l)) -> - let l1 = U.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.Rel (k + number_of_types - no) - | t -> U.map (fun _ k -> k+1) k aux t - in - cb t res; res + match t with + | C.Meta (i,(s,C.Ctx l)) -> + 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.Rel (k + number_of_types - no) + | t -> U.map (fun _ k -> k+1) k aux t in aux (List.length context) ;; @@ -133,13 +124,13 @@ let sort_of_prod ~metasenv ~subst context (name,s) (t1, t2) = 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.Type u1), C.Sort (C.Type u2) -> C.Sort (C.Type (u1@u2)) | C.Sort _,C.Sort (C.Type _) -> t2 | C.Sort (C.Type _) , C.Sort C.CProp -> t1 - | C.Sort _, C.Sort C.CProp -> t2 - | C.Meta _, C.Sort _ - | C.Meta _, C.Meta _ - | C.Sort _, C.Meta _ when U.is_closed t2 -> t2 + | C.Sort _, C.Sort C.CProp + | 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 | _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf "Prod: expected two sorts, found = %s, %s" @@ -159,7 +150,7 @@ let eat_prods ~subst ~metasenv context he ty_he args_with_ty = prerr_endline (PP.ppterm ~subst ~metasenv ~context (S.subst ~avoid_beta_redexes:true arg t)); *) - if R.are_convertible ~subst ~metasenv context ty_arg s then + if R.are_convertible ~subst context ty_arg s then aux (S.subst ~avoid_beta_redexes:true arg t) tl else raise @@ -196,60 +187,84 @@ let rec instantiate_parameters params c = | t,l -> raise (AssertFailure (lazy "1")) ;; -(* specialized only constructors, arities are left untouched *) 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 (uri,Ref.Ind (_,i)) as ref) + | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind (_,i)) 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 left_args,_ = HExtlib.split_nth leftno args in - let itl = - List.map (fun (rel, name, arity, cl) -> - rel, name, arity, - List.map (fun (rel, name, ty) -> - rel, name, instantiate_parameters left_args ty) - cl) - itl - in - is_ind, leftno, itl, attrs, i + let _,_,_,cl = List.nth itl i in + List.map + (fun (rel,name,ty) -> rel, name, instantiate_parameters left_args ty) cl | _ -> assert false ;; -let fix_lefts_in_constrs ~subst r_uri r_len context ty_term = - let _,_,itl,_,i = specialize_inductive_type_constrs ~subst context ty_term in - let _,_,_,cl = List.nth itl i in - let cl = - List.map (fun (_,id,ty) -> id, debruijn r_uri r_len context ty) cl +let specialize_and_abstract_constrs ~subst r_uri r_len context ty_term = + let cl = specialize_inductive_type_constrs ~subst context ty_term in + let len = List.length context in + let context_dcl = + match E.get_checked_obj r_uri with + | _,_,_,_, NCic.Inductive (_,_,tys,_) -> + context @ List.map (fun (_,name,arity,_) -> name,C.Decl arity) tys + | _ -> assert false in - (* since arities are closed they are not lifted *) - List.map (fun (_,name,arity,_) -> name, C.Decl arity) itl, cl + context_dcl, + List.map (fun (_,id,ty) -> id, debruijn r_uri r_len context ty) cl, + len, len + r_len ;; exception DoesOccur;; let does_not_occur ~subst context n nn t = - let rec aux (context,n,nn as k) _ = function - | C.Rel m when m > n && m <= nn -> raise DoesOccur + let rec aux k _ = function + | C.Rel m when m > n+k && m <= nn+k -> raise DoesOccur + | C.Rel m when m <= k || m > nn+k -> () | C.Rel m -> - (try (match List.nth context (m-1) with - | _,C.Def (bo,_) -> aux k () (S.lift m bo) - | _ -> ()) + (try match List.nth context (m-1-k) with + | _,C.Def (bo,_) -> aux (n-m) () bo + | _ -> () with Failure _ -> assert false) | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))) -> (* closed meta *) () | C.Meta (mno,(s,l)) -> (try - let _,_,term,_ = U.lookup_subst mno subst in - aux (context,n+s,nn+s) () (S.subst_meta (0,l) term) - with CicUtil.Subst_not_found _ -> match l with - | C.Irl len -> if not (n >= s+len || s > nn) then raise DoesOccur - | C.Ctx lc -> List.iter (aux (context,n+s,nn+s) ()) lc) - | t -> U.fold (fun e (ctx,n,nn) -> (e::ctx,n+1,nn+1)) k aux () t + (* possible optimization here: try does_not_occur on l and + perform substitution only if DoesOccur is raised *) + let _,_,term,_ = U.lookup_subst mno subst in + aux (k-s) () (S.subst_meta (0,l) term) + with U.Subst_not_found _ -> match l with + | C.Irl len -> if not (n+k >= s+len || s > nn+k) then raise DoesOccur + | C.Ctx lc -> List.iter (aux (k-s) ()) lc) + | t -> U.fold (fun _ k -> k + 1) k aux () t in - try aux (context,n,nn) () t; true + try aux 0 () t; true 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, 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 +;; + + (*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 *) @@ -257,17 +272,17 @@ 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 0)) when NUri.eq uri' uri -> dummy - | C.Appl ((C.Const (Ref.Ref (_,uri',Ref.Ind 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))))::tl) 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 -> @@ -293,7 +308,7 @@ 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 (_,i)) 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 @@ -351,6 +366,7 @@ 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)))) @@ -368,15 +384,18 @@ 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 = 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 with U.Meta_not_found _ -> raise (AssertFailure (lazy (Printf.sprintf "%s not found" (PP.ppterm ~subst ~metasenv ~context t)))) @@ -404,7 +423,7 @@ 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 ~metasenv context ty ty_t) then + if not (R.are_convertible ~subst context ty_t ty) then raise (TypeCheckerFailure (lazy (Printf.sprintf @@ -427,7 +446,7 @@ let rec typeof ~subst ~metasenv context term = *) 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 constructorsno = @@ -437,8 +456,8 @@ 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 @@ -482,7 +501,7 @@ 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 ~metasenv context ty_p ty_branch, + j+1, R.are_convertible ~subst context ty_p ty_branch, ty_p, ty_branch else j,false,old_p_ty,old_exp_p_ty @@ -504,8 +523,8 @@ 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) -> @@ -544,7 +563,7 @@ 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 ~metasenv tl t1 t2) then + if not (R.are_convertible ~subst tl t1 t2) then raise (TypeCheckerFailure (lazy (Printf.sprintf @@ -595,7 +614,7 @@ let rec typeof ~subst ~metasenv context term = with Failure _ -> t) | _ -> t in - if not (R.are_convertible ~subst ~metasenv context optimized_t ct) + if not (R.are_convertible ~subst context optimized_t ct) then raise (TypeCheckerFailure @@ -606,7 +625,7 @@ 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 ~metasenv context type_t ct) then + if not (R.are_convertible ~subst context type_t ct) then raise (TypeCheckerFailure (lazy (Printf.sprintf ("Not well typed metavariable local context: "^^ @@ -641,7 +660,7 @@ 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 ~metasenv context so1 so2) then + if not (R.are_convertible ~subst context so1 so2) then raise (TypeCheckerFailure (lazy (Printf.sprintf "In outtype: expected %s, found %s" (PP.ppterm ~subst ~metasenv ~context so1) @@ -650,13 +669,13 @@ 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 ~metasenv context so ind) then + if not (R.are_convertible ~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,ta with + (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with | (C.Sort (C.CProp | C.Type _), C.Sort _) | (C.Sort C.Prop, C.Sort C.Prop) -> () | (C.Sort C.Prop, C.Sort (C.CProp | C.Type _)) -> @@ -689,19 +708,37 @@ and check_mutual_inductive_defs uri ~metasenv ~subst is_ind leftno tyl = 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 (_,_,ty,cl) i -> + let _,ty_sort = split_prods ~subst [] ~-1 ty in List.iter (fun (_,name,te) -> - let debruijnedte = debruijn uri len [] te in - ignore (typeof ~subst ~metasenv tys debruijnedte); +(*CSC: assicurarmi che i sx siano esattamente gli stessi! *) + let te = debruijn uri len [] te in + let context,te = split_prods ~subst tys leftno te in + 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.CProp, C.Sort C.CProp + | 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 @@ -710,31 +747,9 @@ and check_mutual_inductive_defs uri ~metasenv ~subst is_ind leftno tyl = 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 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 = - let t = R.whd ~delta:max_int ~subst context t in (* prerr_endline ("GB:\n" ^ PP.ppcontext ~subst ~metasenv context^ @@ -763,16 +778,17 @@ 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 r in + let fl,_,_ = E.get_checked_fixes_or_cofixes r in let ctx_tys, bos = List.split (List.map (fun (_,name,_,ty,bo) -> (name, C.Decl ty), bo) fl) in @@ -782,7 +798,8 @@ 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 = @@ -817,18 +834,13 @@ 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,_) as ref,outtype,term,pl) as t -> + | C.Match (Ref.Ref (uri,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 -> - (* TODO: add CoInd to references so that this call is useless *) - let isinductive, _, _, _, _ = E.get_checked_indtys ref in - if not isinductive then recursor aux k t - else let ty = typeof ~subst ~metasenv context term in - let itl_ctx,dcl = fix_lefts_in_constrs ~subst r_uri r_len context ty in + let dc_ctx, dcl, start, stop = + specialize_and_abstract_constrs ~subst r_uri r_len context ty in let args = match t with C.Appl (_::tl) -> tl | _ -> [] in - let dc_ctx = context @ itl_ctx in - let start, stop = List.length context, List.length context + r_len in aux k outtype; List.iter (aux k) args; List.iter2 @@ -848,7 +860,7 @@ and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t = try aux (context, recfuns, 1) t with NotGuarded s -> raise (TypeCheckerFailure s) -and guarded_by_constructors ~subst ~metasenv context t indURI indlen = +and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn = let rec aux context n nn h te = match R.whd ~subst context te with | C.Rel m when m > n && m <= nn -> h @@ -856,24 +868,25 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen = | 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 (i,j)) as ref) :: tl) as t -> + | 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 let ty_t = typeof ~subst ~metasenv context t in - let tys, cl = fix_lefts_in_constrs ~subst indURI indlen context ty_t in - let len_ctx = List.length context in - let len_tys = List.length tys in - let context_c = context @ tys in - let _,c = List.nth cl (j-1) in - let rec_params = - recursive_args ~subst ~metasenv context_c len_ctx (len_ctx+len_tys) c in + let dc_ctx, dcl, start, stop = + specialize_and_abstract_constrs ~subst indURI indlen context ty_t in + let _, dc = List.nth dcl (j-1) in +(* + prerr_endline (PP.ppterm ~subst ~metasenv ~context:dc_ctx dc); + prerr_endline (PP.ppcontext ~subst ~metasenv dc_ctx); + *) + let rec_params = recursive_args ~subst ~metasenv dc_ctx start stop dc in let rec analyse_instantiated_type rec_spec args = match rec_spec, args with | h::rec_spec, he::args -> @@ -893,20 +906,21 @@ and guarded_by_constructors ~subst ~metasenv context t indURI indlen = 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 (_,_,(Ref.Fix _| Ref.CoFix _)) as ref) - | C.Appl(C.Const (Ref.Ref(_,_,(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 ref in + let fl,_,_ = E.get_checked_fixes_or_cofixes ref in + let len = List.length fl in let tys = List.map (fun (_,n,_,ty,_) -> n, C.Decl ty) fl in List.for_all (does_not_occur ~subst context n nn) tl && List.for_all - (fun (_,_,_,ty,bo) -> - aux (context@tys) n nn h (debruijn indURI indlen context bo)) + (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 - aux context 0 indlen false t + aux context 0 nn false t and recursive_args ~subst ~metasenv context n nn te = match R.whd context te with @@ -937,23 +951,20 @@ and is_really_smaller is_really_smaller r_uri r_len ~subst ~metasenv (shift_k (name,C.Decl s) k) t | C.Appl (he::_) -> is_really_smaller r_uri r_len ~subst ~metasenv k he - | C.Appl _ | C.Rel _ - | C.Const (Ref.Ref (_,_,Ref.Con _)) -> false - | C.Const (Ref.Ref (_,_,Ref.Fix _)) -> assert false + | C.Const (Ref.Ref (_,Ref.Con _)) -> false + | C.Appl [] + | 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 (uri,Ref.Ind (isinductive,_)),outtype,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 let ty = typeof ~subst ~metasenv context term in - let itl_ctx,dcl= fix_lefts_in_constrs ~subst r_uri r_len context ty in - let start, stop = List.length context, List.length context + r_len in - let dc_ctx = context @ itl_ctx in + let dc_ctx, dcl, start, stop = + specialize_and_abstract_constrs ~subst r_uri r_len context ty in List.for_all2 (fun p (_,dc) -> let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in @@ -965,46 +976,98 @@ 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 _) as ref) - | C.Appl (C.Const (Ref.Ref (_,uri,Ref.Ind _) as ref)::_) -> - let isinductive, _, _, _, _ = E.get_checked_indtys ref in - if isinductive then None else (Some uri) + | 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) = - let cobj = - match E.get_obj uri with - | true, cobj -> cobj - | false, uobj -> - !logger (`Start_type_checking uri); - check_obj_well_typed uobj; - E.add_obj uobj; - !logger (`Type_checking_completed uri); - uobj - in - match cobj, ref with - | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,_,Ref.Ind i) -> +and type_of_constant ((Ref.Ref (uri,_)) as ref) = + match E.get_checked_obj uri, ref with + | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,Ref.Ind (_,i)) -> let _,_,arity,_ = List.nth tl i in arity - | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,_,Ref.Con (i,j)) -> + | (_,_,_,_,C.Inductive (_,_,tl,_)), Ref.Ref (_,Ref.Con (i,j)) -> 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 (_,fl,_)), Ref.Ref (_,(Ref.Fix (i,_,_)|Ref.CoFix i)) -> let _,_,_,arity,_ = List.nth fl i in arity - | (_,_,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,_,(Ref.Def |Ref.Decl)) -> ty + | (_,_,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,(Ref.Def _|Ref.Decl)) -> ty | _ -> raise (AssertFailure (lazy "type_of_constant: environment/reference")) +;; + +let typecheck_context ~metasenv ~subst context = + ignore + (List.fold_right + (fun d context -> + begin + match d with + _,C.Decl t -> ignore (typeof ~metasenv ~subst:[] context t) + | 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 + 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') + (PP.ppterm ~subst ~metasenv ~context ty)))) + end; + d::context + ) context []) +;; -and check_obj_well_typed (uri,height,metasenv,subst,kind) = - (* CSC: here we should typecheck the metasenv and the subst *) - assert (metasenv = [] && subst = []); +let typecheck_metasenv metasenv = + ignore + (List.fold_left + (fun metasenv (i,(_,context,ty) as conj) -> + if List.mem_assoc i metasenv then + raise (TypeCheckerFailure (lazy ("duplicate meta " ^ string_of_int i ^ + " in metasenv"))); + typecheck_context ~metasenv ~subst:[] context; + ignore (typeof ~metasenv ~subst:[] context ty); + metasenv @ [conj] + ) [] metasenv) +;; + +let typecheck_subst ~metasenv subst = + ignore + (List.fold_left + (fun subst (i,(_,context,ty,bo) as conj) -> + if List.mem_assoc i subst then + raise (AssertFailure (lazy ("duplicate meta " ^ string_of_int i ^ + " in substitution"))); + if List.mem_assoc i metasenv then + raise (AssertFailure (lazy ("meta " ^ string_of_int i ^ + " is both in the metasenv and in the substitution"))); + 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 + raise (AssertFailure (lazy (Printf.sprintf ( + "the type of the definiens for %d in the substitution is not "^^ + "convertible with the declared one.\n"^^ + "inferred type:\n%s\nexpected type:\n%s") + i + (PP.ppterm ~subst ~metasenv ~context ty') + (PP.ppterm ~subst ~metasenv ~context ty)))); + subst @ [conj] + ) [] subst) +;; + +let typecheck_obj (uri,height,metasenv,subst,kind) = + typecheck_metasenv metasenv; + typecheck_subst ~metasenv subst; match kind with | C.Constant (_,_,Some te,ty,_) -> let _ = typeof ~subst ~metasenv [] ty in let ty_te = typeof ~subst ~metasenv [] te in - if not (R.are_convertible ~subst ~metasenv [] ty_te ty) then + if not (R.are_convertible ~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") @@ -1014,13 +1077,14 @@ and check_obj_well_typed (uri,height,metasenv,subst,kind) = | C.Inductive (is_ind, leftno, tyl, _) -> check_mutual_inductive_defs uri ~metasenv ~subst is_ind leftno tyl | C.Fixpoint (inductive,fl,_) -> - let types, kl, len = + let types, kl = List.fold_left - (fun (types,kl,len) (_,name,k,ty,_) -> + (fun (types,kl) (_,name,k,ty,_) -> let _ = typeof ~subst ~metasenv [] ty in - ((name,(C.Decl (S.lift len ty)))::types, k::kl,len+1) - ) ([],[],0) fl + ((name,C.Decl ty)::types, k::kl) + ) ([],[]) fl in + let len = List.length types in let dfl, kl = List.split (List.map2 (fun (_,_,_,_,bo) rno -> @@ -1030,7 +1094,7 @@ and check_obj_well_typed (uri,height,metasenv,subst,kind) = in List.iter2 (fun (_,name,x,ty,_) bo -> let ty_bo = typeof ~subst ~metasenv types bo in - if not (R.are_convertible ~subst ~metasenv types ty_bo (S.lift len ty)) + if not (R.are_convertible ~subst types ty_bo ty) then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies"))) else if inductive then begin @@ -1040,8 +1104,8 @@ and check_obj_well_typed (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 @@ -1055,17 +1119,55 @@ and check_obj_well_typed (uri,height,metasenv,subst,kind) = end else match returns_a_coinductive ~subst [] ty with | None -> - raise (TypeCheckerFailure - (lazy "CoFix: does not return a coinductive type")) - | Some uri -> - (* guarded by constructors conditions C{f,M} *) - if not - (guarded_by_constructors ~subst ~metasenv types bo uri len) - then - raise (TypeCheckerFailure - (lazy "CoFix: not guarded by constructors")) + raise (TypeCheckerFailure + (lazy "CoFix: does not return a coinductive type")) + | Some (r_uri, r_len) -> + (* guarded by constructors conditions C{f,M} *) + if not + (guarded_by_constructors ~subst ~metasenv types bo r_uri r_len len) + then + raise (TypeCheckerFailure + (lazy "CoFix: not guarded by constructors")) ) fl dfl +;; + +(* trust *) + +let trust = ref (fun _ -> false);; +let set_trust f = trust := f +let trust_obj obj = !trust obj -let typecheck_obj = check_obj_well_typed;; + +(* web interface stuff *) + +let logger = + ref (function (`Start_type_checking _|`Type_checking_completed _|`Type_checking_interrupted _|`Type_checking_failed _|`Trust_obj _) -> ()) +;; + +let set_logger f = logger := f;; + +let typecheck_obj obj = + let u,_,_,_,_ = obj in + try + !logger (`Start_type_checking u); + typecheck_obj obj; + !logger (`Type_checking_completed u) + with + Sys.Break as e -> + !logger (`Type_checking_interrupted u); + raise e + | e -> + !logger (`Type_checking_failed u); + raise e +;; + +E.set_typecheck_obj + (fun obj -> + if trust_obj obj then + let u,_,_,_,_ = obj in + !logger (`Trust_obj u) + else + typecheck_obj obj) +;; (* EOF *)