(* $Id: nCicReduction.ml 8250 2008-03-25 17:56:20Z tassi $ *)
+(* 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
(TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
(UriManager.string_of_uri uri))))
-(* Main function to checks the correctness of a mutual *)
-(* inductive block definition. This is the function *)
-(* exported to the proof-engine. *)
-and typecheck_mutual_inductive_defs ~logger uri (itl,_,indparamsno) ugraph =
- let module U = UriManager in
- (* let's check if the arity of the inductive types are well *)
- (* formed *)
- let ugrap1 = List.fold_left
- (fun ugraph (_,_,x,_) -> let _,ugraph' =
- type_of ~logger x ugraph in ugraph')
- ugraph itl in
-
- (* let's check if the types of the inductive constructors *)
- (* are well formed. *)
- (* In order not to use type_of_aux we put the types of the *)
- (* mutual inductive types at the head of the types of the *)
- (* constructors using Prods *)
- let len = List.length itl in
- let tys =
- List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl in
- let _,ugraph2 =
- List.fold_right
- (fun (_,_,_,cl) (i,ugraph) ->
- let ugraph'' =
- List.fold_left
- (fun ugraph (name,te) ->
- let debruijnedte = debruijn uri len te in
- let augmented_term =
- List.fold_right
- (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
- itl debruijnedte
- in
- let _,ugraph' = type_of ~logger augmented_term ugraph in
- (* let's check also the positivity conditions *)
- if
- not
- (are_all_occurrences_positive tys uri indparamsno i 0 len
- debruijnedte)
- then
- begin
- prerr_endline (UriManager.string_of_uri uri);
- prerr_endline (string_of_int (List.length tys));
- raise
- (TypeCheckerFailure
- (lazy ("Non positive occurence in " ^ U.string_of_uri uri))) end
- else
- ugraph'
- ) ugraph cl in
- (i + 1),ugraph''
- ) itl (1,ugrap1)
- in
- ugraph2
-
-(* Main function to checks the correctness of a mutual *)
-(* inductive block definition. *)
-and check_mutual_inductive_defs uri obj ugraph =
- match obj with
- Cic.InductiveDefinition (itl, params, indparamsno, _) ->
- typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph
- | _ ->
- raise (TypeCheckerFailure (
- lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
-
(* the boolean h means already protected *)
(* args is the list of arguments the type of the constructor that may be *)
(* found in head position must be applied to. *)
args coInductiveTypeURI
) fl true
-and type_of_branch ~subst context argsno need_dummy outtype term constype =
- let module C = Cic in
- let module R = CicReduction in
- match R.whd ~subst context constype with
- C.MutInd (_,_,_) ->
- if need_dummy then
- outtype
- else
- C.Appl [outtype ; term]
- | C.Appl (C.MutInd (_,_,_)::tl) ->
- let (_,arguments) = split tl argsno
- in
- if need_dummy && arguments = [] then
- outtype
- else
- C.Appl (outtype::arguments@(if need_dummy then [] else [term]))
- | C.Prod (name,so,de) ->
- let term' =
- match CicSubstitution.lift 1 term 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
- ((Some (name,(C.Decl so)))::context) argsno need_dummy
- (CicSubstitution.lift 1 outtype) term' de)
- | _ -> raise (AssertFailure (lazy "20"))
-
- and returns_a_coinductive ~subst context ty =
- let module C = Cic in
- match CicReduction.whd ~subst context ty with
- C.MutInd (uri,i,_) ->
- (*CSC: definire una funzioncina per questo codice sempre replicato *)
- let obj,_ =
- try
- CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
- with Not_found -> assert false
- in
- (match obj with
- C.InductiveDefinition (itl,_,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- if is_inductive then None else (Some uri)
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
- )
- | C.Appl ((C.MutInd (uri,i,_))::_) ->
- (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (itl,_,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- if is_inductive then None else (Some uri)
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
- )
- | C.Prod (n,so,de) ->
- returns_a_coinductive ~subst ((Some (n,C.Decl so))::context) de
- | _ -> None
-
in
type_of_aux ~logger context t ugraph
aux 0
;;
-
-let sort_of_prod ~subst context (name,s) (t1, t2) =
+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
| _ ->
raise (TypeCheckerFailure (lazy (Printf.sprintf
"Prod: expected two sorts, found = %s, %s"
- (NCicPp.ppterm t1) (NCicPp.ppterm t2))))
+ (NCicPp.ppterm ~subst ~metasenv ~context t1)
+ (NCicPp.ppterm ~subst ~metasenv ~context t2))))
;;
-let eat_prods ~subst ~metasenv context ty_he args_with_ty =
+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
+ match R.whd ~subst context ty_he with
| C.Prod (n,s,t) ->
+(*
+ prerr_endline (NCicPp.ppterm ~subst ~metasenv ~context s ^ " - Vs - "
+ ^ NCicPp.ppterm ~subst ~metasenv
+ ~context ty_arg);
+ prerr_endline (NCicPp.ppterm ~subst ~metasenv ~context (S.subst ~avoid_beta_redexes:true arg t));
+*)
if R.are_convertible ~subst ~metasenv context ty_arg s then
aux (S.subst ~avoid_beta_redexes:true arg t) tl
else
raise
(TypeCheckerFailure
(lazy (Printf.sprintf
- ("Appl: wrong parameter-type, expected %s, found %s")
- (NCicPp.ppterm ty_arg) (NCicPp.ppterm s))))
+ ("Appl: wrong application of %s: the parameter %s has type"^^
+ "\n%s\nbut is should have type \n%s\n")
+ (NCicPp.ppterm ~subst ~metasenv ~context he)
+ (NCicPp.ppterm ~subst ~metasenv ~context arg)
+ (NCicPp.ppterm ~subst ~metasenv ~context ty_arg)
+ (NCicPp.ppterm ~subst ~metasenv ~context s))))
| _ ->
raise
(TypeCheckerFailure
- (lazy "Appl: this is not a function, it cannot be applied")))
+ (lazy (Printf.sprintf
+ "Appl: %s is not a function, it cannot be applied"
+ (NCicPp.ppterm ~subst ~metasenv ~context
+ (let res = List.length tl in
+ let eaten = List.length args_with_ty - res in
+ (NCic.Appl
+ (he::List.map fst
+ (fst (HExtlib.split_nth eaten args_with_ty)))))))))
in
aux ty_he args_with_ty
;;
cl
in
let lefts = fst (split_prods ~subst [] paramsno arity) in
- tys@lefts, len, cl'
+ lefts@tys, len, cl'
;;
exception DoesOccur;;
with DoesOccur -> false
;;
-exception NotGuarded;;
+exception NotGuarded of string Lazy.t;;
let rec typeof ~subst ~metasenv context term =
- let rec typeof_aux context = function
+ let rec typeof_aux context =
+ fun t -> (*prerr_endline (NCicPp.ppterm ~context t); *)
+ match t with
| C.Rel n ->
(try
match List.nth context (n - 1) with
| C.Sort s -> C.Sort (C.Type 0)
| C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
| C.Meta (n,l) as t ->
- let canonical_context,ty =
+ 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
with U.Meta_not_found _ ->
raise (AssertFailure (lazy (Printf.sprintf
- "%s not found" (NCicPp.ppterm t))))
+ "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t))))
in
- check_metasenv_consistency t context canonical_context l;
+ check_metasenv_consistency t ~subst ~metasenv context canonical_ctx l;
S.subst_meta l ty
| C.Const ref -> type_of_constant ref
| 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 ~subst context (name,s) (sort1,sort2)
+ sort_of_prod ~metasenv ~subst context (name,s) (sort1,sort2)
| C.Lambda (n,s,t) ->
let sort = typeof_aux context s in
(match R.whd ~subst context sort with
(TypeCheckerFailure (lazy (Printf.sprintf
("Not well-typed lambda-abstraction: " ^^
"the source %s should be a type; instead it is a term " ^^
- "of type %s") (NCicPp.ppterm s) (NCicPp.ppterm sort)))));
+ "of type %s") (NCicPp.ppterm ~subst ~metasenv ~context s)
+ (NCicPp.ppterm ~subst ~metasenv ~context sort)))));
let ty = typeof_aux ((n,(C.Decl s))::context) t in
C.Prod (n,s,ty)
| 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
raise
(TypeCheckerFailure
(lazy (Printf.sprintf
"The type of %s is %s but it is expected to be %s"
- (NCicPp.ppterm t) (NCicPp.ppterm ty_t) (NCicPp.ppterm ty))))
+ (NCicPp.ppterm ~subst ~metasenv ~context t)
+ (NCicPp.ppterm ~subst ~metasenv ~context ty_t)
+ (NCicPp.ppterm ~subst ~metasenv ~context ty))))
else
let ty_bo = typeof_aux ((n,C.Def (t,ty))::context) bo in
S.subst ~avoid_beta_redexes:true t ty_bo
| 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
- eat_prods ~subst ~metasenv context ty_he args_with_ty
+(*
+ prerr_endline ("HEAD: " ^ NCicPp.ppterm ~subst ~metasenv ~context ty_he);
+ prerr_endline ("TARGS: " ^ String.concat " | " (List.map (NCicPp.ppterm
+ ~subst ~metasenv ~context) (List.map snd args_with_ty)));
+ prerr_endline ("ARGS: " ^ String.concat " | " (List.map (NCicPp.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 (dummy_depth,uri,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 leftno = E.get_indty_leftno r in
let parameters, arguments =
raise
(TypeCheckerFailure (lazy (Printf.sprintf
"Case analysis: analysed term %s is not an inductive one"
- (NCicPp.ppterm term)))) in
+ (NCicPp.ppterm ~subst ~metasenv ~context term)))) in
if not (Ref.eq r r') then
raise
(TypeCheckerFailure (lazy (Printf.sprintf
("Case analysys: analysed term type is %s, but is expected " ^^
"to be (an application of) %s")
- (NCicPp.ppterm ty) (NCicPp.ppterm (C.Const r')))))
+ (NCicPp.ppterm ~subst ~metasenv ~context ty)
+ (NCicPp.ppterm ~subst ~metasenv ~context (C.Const r')))))
else
try HExtlib.split_nth leftno tl
with
Failure _ ->
- raise (TypeCheckerFailure (lazy (Printf.sprintf
- "%s is partially applied" (NCicPp.ppterm ty)))) in
+ raise (TypeCheckerFailure (lazy (Printf.sprintf
+ "%s is partially applied"
+ (NCicPp.ppterm ~subst ~metasenv ~context ty)))) in
(* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
let sort_of_ind_type =
if parameters = [] then C.Const r
else C.Appl ((C.Const r)::parameters) in
let type_of_sort_of_ind_ty = typeof_aux context sort_of_ind_type in
- if not (check_allowed_sort_elimination ~subst ~metasenv r context
- sort_of_ind_type type_of_sort_of_ind_ty outsort)
- then raise (TypeCheckerFailure (lazy ("Sort elimination not allowed")));
+ check_allowed_sort_elimination ~subst ~metasenv r context
+ sort_of_ind_type type_of_sort_of_ind_ty outsort;
(* let's check if the type of branches are right *)
let leftno,constructorsno =
let inductive,leftno,itl,_,i = E.get_checked_indtys r in
in
if List.length pl <> constructorsno then
raise (TypeCheckerFailure (lazy ("Wrong number of cases in a match")));
- let j,branches_ok =
+ let j,branches_ok,p_ty, exp_p_ty =
List.fold_left
- (fun (j,b) p ->
+ (fun (j,b,old_p_ty,old_exp_p_ty) p ->
if b then
let cons =
- let cons = Ref.Ref (dummy_depth, uri, Ref.Con (tyno, j)) in
+ let cons = Ref.mk_constructor j r in
if parameters = [] then C.Const cons
else C.Appl (C.Const cons::parameters)
in
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 in
- j+1, R.are_convertible ~subst ~metasenv context ty_p 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,
+ ty_p, ty_branch
else
- j,false
- ) (1,true) pl
- in
- if not branches_ok then
- raise
- (TypeCheckerFailure
- (lazy (Printf.sprintf "Branch for constructor %s has wrong type"
- (NCicPp.ppterm (C.Const
- (Ref.Ref (dummy_depth, uri, Ref.Con (tyno, j))))))));
- let res = outtype::arguments@[term] in
- R.head_beta_reduce (C.Appl res)
+ j,false,old_p_ty,old_exp_p_ty
+ ) (1,true,C.Sort C.Prop,C.Sort C.Prop) pl
+ in
+ if not branches_ok then
+ raise
+ (TypeCheckerFailure
+ (lazy (Printf.sprintf ("Branch for constructor %s :=\n%s\n"^^
+ "has type %s\nnot convertible with %s")
+ (NCicPp.ppterm ~subst ~metasenv ~context
+ (C.Const (Ref.mk_constructor (j-1) r)))
+ (NCicPp.ppterm ~metasenv ~subst ~context (List.nth pl (j-2)))
+ (NCicPp.ppterm ~metasenv ~subst ~context p_ty)
+ (NCicPp.ppterm ~metasenv ~subst ~context exp_p_ty))));
+ let res = outtype::arguments@[term] in
+ R.head_beta_reduce (C.Appl res)
| C.Match _ -> assert false
- and type_of_branch ~subst context leftno outty cons tycons = 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 *)
- and check_metasenv_consistency term context canonical_context l =
+ and check_metasenv_consistency
+ ~subst ~metasenv term context canonical_context l
+ =
match l with
| shift, NCic.Irl n ->
let context = snd (HExtlib.split_nth shift context) in
| _,_,[] ->
raise (AssertFailure (lazy (Printf.sprintf
"Local and canonical context %s have different lengths"
- (NCicPp.ppterm term))))
+ (NCicPp.ppterm ~subst ~context ~metasenv term))))
| m,[],_::_ ->
raise (TypeCheckerFailure (lazy (Printf.sprintf
- "Unbound variable -%d in %s" m (NCicPp.ppterm term))))
+ "Unbound variable -%d in %s" m
+ (NCicPp.ppterm ~subst ~metasenv ~context term))))
| m,t::tl,ct::ctl ->
(match t,ct with
(_,C.Decl t1), (_,C.Decl t2)
(lazy (Printf.sprintf
("Not well typed metavariable local context for %s: " ^^
"%s expected, which is not convertible with %s")
- (NCicPp.ppterm term) (NCicPp.ppterm t2) (NCicPp.ppterm t1)
- )))
+ (NCicPp.ppterm ~subst ~metasenv ~context term)
+ (NCicPp.ppterm ~subst ~metasenv ~context t2)
+ (NCicPp.ppterm ~subst ~metasenv ~context t1))))
| _,_ ->
raise
- (TypeCheckerFailure
- (lazy (Printf.sprintf
+ (TypeCheckerFailure (lazy (Printf.sprintf
("Not well typed metavariable local context for %s: " ^^
"a definition expected, but a declaration found")
- (NCicPp.ppterm term)))));
+ (NCicPp.ppterm ~subst ~metasenv ~context term)))));
compare (m - 1,tl,ctl)
in
compare (n,context,canonical_context)
(lazy (Printf.sprintf
("Not well typed metavariable local context: " ^^
"expected a term convertible with %s, found %s")
- (NCicPp.ppterm ct) (NCicPp.ppterm t))))
+ (NCicPp.ppterm ~subst ~metasenv ~context ct)
+ (NCicPp.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
raise (TypeCheckerFailure
- (lazy (Printf.sprintf
- ("Not well typed metavariable local context: "^^
- "expected a term of type %s, found %s of type %s")
- (NCicPp.ppterm ct) (NCicPp.ppterm t) (NCicPp.ppterm type_t))))
+ (lazy (Printf.sprintf
+ ("Not well typed metavariable local context: "^^
+ "expected a term of type %s, found %s of type %s")
+ (NCicPp.ppterm ~subst ~metasenv ~context ct)
+ (NCicPp.ppterm ~subst ~metasenv ~context t)
+ (NCicPp.ppterm ~subst ~metasenv ~context type_t))))
) l lifted_canonical_context
with
Invalid_argument _ ->
raise (AssertFailure (lazy (Printf.sprintf
"Local and canonical context %s have different lengths"
- (NCicPp.ppterm term))))
+ (NCicPp.ppterm ~subst ~metasenv ~context term))))
and is_non_informative context paramsno c =
let rec aux context c =
let arity2 = R.whd ~subst context arity2 in
match arity1,arity2 with
| C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
- R.are_convertible ~subst ~metasenv context so1 so2 &&
- aux ((name, C.Decl so1)::context)
- (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
+ if not (R.are_convertible ~subst ~metasenv context so1 so2) then
+ raise (TypeCheckerFailure (lazy (Printf.sprintf
+ "In outtype: expected %s, found %s"
+ (NCicPp.ppterm ~subst ~metasenv ~context so1)
+ (NCicPp.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) ->
- (R.are_convertible ~subst ~metasenv context so ind &&
- match arity1,ta with
- | (C.Sort (C.CProp | C.Type _), C.Sort _)
- | (C.Sort C.Prop, C.Sort C.Prop) -> true
- | (C.Sort C.Prop, C.Sort (C.CProp | C.Type _)) ->
- let inductive,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_len = List.length cl in
- (* is it a singleton or empty non recursive and non informative
- definition? *)
- 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))
- | _,_ -> false)
- | _,_ -> false
+ if not (R.are_convertible ~subst ~metasenv context so ind) then
+ raise (TypeCheckerFailure (lazy (Printf.sprintf
+ "In outtype: expected %s, found %s"
+ (NCicPp.ppterm ~subst ~metasenv ~context ind)
+ (NCicPp.ppterm ~subst ~metasenv ~context so)
+ )));
+ (match arity1,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 _)) ->
+ let inductive,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_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)))
+ then
+ raise (TypeCheckerFailure (lazy
+ ("Sort elimination not allowed")));
+ | _,_ -> ())
+ | _,_ -> ()
in
aux
in
typeof_aux context term
-and check_mutual_inductive_defs _ = assert false
+and check_mutual_inductive_defs uri ~metasenv ~subst is_ind 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.map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in
+ ignore
+ (List.fold_right
+ (fun (_,_,_,cl) i ->
+ List.iter
+ (fun (_,name,te) ->
+ let debruijnedte = debruijn uri len te in
+ ignore (typeof ~subst ~metasenv tys debruijnedte);
+ (* let's check also the positivity conditions *)
+ if false (*
+ not
+ (are_all_occurrences_positive tys uri indparamsno i 0 len
+ debruijnedte) *)
+ then
+ raise
+ (TypeCheckerFailure
+ (lazy ("Non positive occurence in "^NUri.string_of_uri uri))))
+ cl;
+ i + 1)
+ tyl 1)
-and eat_lambdas ~subst context n te =
+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 ((name,(C.Decl so))::context) (n - 1) ta
+ eat_lambdas ~subst ~metasenv ((name,(C.Decl so))::context) (n - 1) ta
| (n, te) ->
- raise (AssertFailure
- (lazy (Printf.sprintf "9 (%d, %s)" n (NCicPp.ppterm te))))
+ raise (AssertFailure (lazy (Printf.sprintf "9 (%d, %s)" n
+ (NCicPp.ppterm ~subst ~metasenv ~context te))))
-and guarded_by_destructors ~subst context recfuns t =
+and guarded_by_destructors ~subst ~metasenv context recfuns t =
let recursor f k t = NCicUtils.fold shift_k k (fun k () -> f k) () t in
let rec aux (context, recfuns, x, safes as k) = function
- | C.Rel m when List.mem_assoc m recfuns -> raise NotGuarded
+ | C.Rel m as t when List.mem_assoc m recfuns ->
+ raise (NotGuarded (lazy
+ (NCicPp.ppterm ~subst ~metasenv ~context t ^ " passed around")))
| C.Rel m ->
(match List.nth context (m-1) with
| _,C.Decl _ -> ()
| _,C.Def (bo,_) -> aux (context, recfuns, x, safes) (S.lift m bo))
| C.Meta _ -> ()
- | C.Appl ((C.Rel m)::tl) when List.mem_assoc m recfuns ->
+ | C.Appl ((C.Rel m)::tl) as t when List.mem_assoc m recfuns ->
let rec_no = List.assoc m recfuns in
- if not (List.length tl > rec_no) then raise NotGuarded
+ if not (List.length tl > rec_no) then
+ raise (NotGuarded (lazy
+ (NCicPp.ppterm ~context ~subst ~metasenv t ^
+ " is a partial application of a fix")))
else
let rec_arg = List.nth tl rec_no in
- aux k rec_arg;
+ if not (is_really_smaller ~subst ~metasenv k rec_arg) then
+ raise (NotGuarded (lazy
+ (NCicPp.ppterm ~context ~subst ~metasenv rec_arg ^ " not smaller")));
List.iter (aux k) tl
| C.Match (Ref.Ref (_,uri,_) as ref,outtype,term,pl) as t ->
(match R.whd ~subst context term with
List.iter (aux k) args;
List.iter2
(fun p (_,_,bruijnedc) ->
- let rl = recursive_args ~subst c_ctx 0 len bruijnedc in
+ let rl = recursive_args ~subst ~metasenv c_ctx 0 len bruijnedc in
let p, k = get_new_safes ~subst k p rl in
aux k p)
pl cl
| _ -> recursor aux k t)
| t -> recursor aux k t
in
- try aux (context, recfuns, 1, []) t;true
- with NotGuarded -> false
+ try aux (context, recfuns, 1, []) t
+ with NotGuarded s -> raise (TypeCheckerFailure s)
(*
| C.Fix (_, fl) ->
) fl true
*)
-and guarded_by_constructors ~subst _ _ _ _ _ _ _ = assert false
+and guarded_by_constructors ~subst ~metasenv _ _ _ _ _ _ _ = true
-and recursive_args ~subst context n nn te =
+and recursive_args ~subst ~metasenv context n nn te =
match R.whd context te with
- | C.Rel _ -> []
+ | C.Rel _ | C.Appl _ -> []
| C.Prod (name,so,de) ->
(not (does_not_occur ~subst context n nn so)) ::
- (recursive_args ~subst ((name,(C.Decl so))::context) (n+1) (nn + 1) de)
- | _ -> raise (AssertFailure (lazy ("recursive_args")))
+ (recursive_args ~subst ~metasenv
+ ((name,(C.Decl so))::context) (n+1) (nn + 1) de)
+ | t ->
+ raise (AssertFailure (lazy ("recursive_args:" ^ NCicPp.ppterm ~subst
+ ~metasenv ~context:[] t)))
and get_new_safes ~subst (context, recfuns, x, safes as k) p rl =
match R.whd ~subst context p, rl with
split_prods ~subst ((name,(C.Decl so))::context) (n - 1) ta
| _ -> raise (AssertFailure (lazy "split_prods"))
-(*CSC: Tutto quello che segue e' l'intuzione di luca ;-) *)
-and check_is_really_smaller_arg ~subst context n nn kl x safes te =
-assert false (*
- (*CSC: forse la whd si puo' fare solo quando serve veramente. *)
- (*CSC: cfr guarded_by_destructors *)
- let module C = Cic in
- let module U = UriManager in
- match CicReduction.whd ~subst context te with
- C.Rel m when List.mem m safes -> true
- | C.Rel _ -> false
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit _
- | C.Cast _
-(* | C.Cast (te,ty) ->
- check_is_really_smaller_arg ~subst n nn kl x safes te &&
- check_is_really_smaller_arg ~subst n nn kl x safes ty*)
-(* | C.Prod (_,so,ta) ->
- check_is_really_smaller_arg ~subst n nn kl x safes so &&
- check_is_really_smaller_arg ~subst (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta*)
- | C.Prod _ -> raise (AssertFailure (lazy "10"))
- | C.Lambda (name,so,ta) ->
- check_is_really_smaller_arg ~subst context n nn kl x safes so &&
- check_is_really_smaller_arg ~subst ((Some (name,(C.Decl so)))::context)
- (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
- | C.LetIn (name,so,ty,ta) ->
- check_is_really_smaller_arg ~subst context n nn kl x safes so &&
- check_is_really_smaller_arg ~subst context n nn kl x safes ty &&
- check_is_really_smaller_arg ~subst ((Some (name,(C.Def (so,ty))))::context)
- (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
- | C.Appl (he::_) ->
- (*CSC: sulla coda ci vogliono dei controlli? secondo noi no, ma *)
- (*CSC: solo perche' non abbiamo trovato controesempi *)
- check_is_really_smaller_arg ~subst context n nn kl x safes he
- | C.Appl [] -> raise (AssertFailure (lazy "11"))
- | C.Const _
- | C.MutInd _ -> raise (AssertFailure (lazy "12"))
- | C.MutConstruct _ -> false
- | C.MutCase (uri,i,outtype,term,pl) ->
- (match term with
- C.Rel m when List.mem m safes || m = x ->
- let (lefts_and_tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- let tys =
- List.map
- (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) tl
- in
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map
- (fun (id,ty) ->
- (id, snd (split_prods ~subst tys paramsno ty))) cl in
- let lefts =
- match tl with
- [] -> assert false
- | (_,_,ty,_)::_ ->
- fst (split_prods ~subst [] paramsno ty)
- in
- (tys@lefts,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
- in
- if not isinductive then
- List.fold_right
- (fun p i ->
- i && check_is_really_smaller_arg ~subst context n nn kl x safes p)
- pl true
- else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- (*CSC: supponiamo come prima che nessun controllo sia necessario*)
- (*CSC: sugli argomenti di una applicazione *)
- List.fold_right
- (fun (p,(_,c)) i ->
- let rl' =
- let debruijnedte = debruijn uri len c in
- recursive_args lefts_and_tys 0 len debruijnedte
- in
- let (e,safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
- | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
- let (lefts_and_tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let tys =
- List.map (fun (n,_,ty,_) ->
- Some(Cic.Name n,(Cic.Decl ty))) tl
- in
- let cl' =
- List.map
- (fun (id,ty) ->
- (id, snd (split_prods ~subst tys paramsno ty))) cl in
- let lefts =
- match tl with
- [] -> assert false
- | (_,_,ty,_)::_ ->
- fst (split_prods ~subst [] paramsno ty)
- in
- (tys@lefts,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
- in
- if not isinductive then
- List.fold_right
- (fun p i ->
- i && check_is_really_smaller_arg ~subst context n nn kl x safes p)
- pl true
- else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- (*CSC: supponiamo come prima che nessun controllo sia necessario*)
- (*CSC: sugli argomenti di una applicazione *)
- List.fold_right
- (fun (p,(_,c)) i ->
- let rl' =
- let debruijnedte = debruijn uri len c in
- recursive_args lefts_and_tys 0 len debruijnedte
- in
- let (e,safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
- | _ ->
- List.fold_right
- (fun p i ->
- i && check_is_really_smaller_arg ~subst context n nn kl x safes p
- ) pl true
- )
- | C.Fix (_, fl) ->
+and is_really_smaller ~subst ~metasenv (context, recfuns, x, safes as k) te =
+ match R.whd ~subst context te with
+ | C.Rel m when List.mem m safes -> true
+ | C.Rel _ -> false
+ | C.LetIn _ -> raise (AssertFailure (lazy "letin after whd"))
+ | C.Sort _ | C.Implicit _ | C.Prod _ | C.Lambda _
+ | C.Const (Ref.Ref (_,_,(Ref.Decl | Ref.Def | Ref.Ind _ | Ref.CoFix _))) ->
+ raise (AssertFailure (lazy "not a constructor"))
+ | C.Appl ([]|[_]) -> raise (AssertFailure (lazy "empty/unary appl"))
+ | C.Appl (he::_) ->
+ (*CSC: sulla coda ci vogliono dei controlli? secondo noi no, ma *)
+ (*CSC: solo perche' non abbiamo trovato controesempi *)
+ (*TASSI: da capire soprattutto se he รจ un altro fix che non ha ridotto...*)
+ is_really_smaller ~subst ~metasenv k he
+ | C.Const (Ref.Ref (_,_,Ref.Con _)) -> false
+ | C.Const (Ref.Ref (_,_,Ref.Fix _)) -> assert false
+ (*| C.Fix (_, fl) ->
let len = List.length fl in
let n_plus_len = n + len
and nn_plus_len = nn + len
List.fold_right
(fun (_,_,ty,bo) i ->
i &&
- check_is_really_smaller_arg ~subst (tys@context) n_plus_len nn_plus_len kl
+ is_really_smaller ~subst (tys@context) n_plus_len nn_plus_len kl
x_plus_len safes' bo
- ) fl true
- | C.CoFix (_, fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len
- and x_plus_len = x + len
- and tys,_ =
- List.fold_left
- (fun (types,len) (n,ty,_) ->
- (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
- len+1)
- ) ([],0) fl
- and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,ty,bo) i ->
- i &&
- check_is_really_smaller_arg ~subst (tys@context) n_plus_len nn_plus_len kl
- x_plus_len safes' bo
- ) fl true
- *)
+ ) fl true*)
+ | C.Meta _ ->
+ true (* XXX if this check is repeated when the user completes the
+ definition *)
+ | C.Match (Ref.Ref (_,uri,_) as ref,outtype,term,pl) ->
+ (match term with
+ | C.Rel m | C.Appl (C.Rel m :: _ ) when List.mem m safes || m = x ->
+ let isinductive, paramsno, tl, _, i = E.get_checked_indtys ref in
+ if not isinductive then
+ List.for_all (is_really_smaller ~subst ~metasenv k) pl
+ else
+ let c_ctx,len,cl = fix_lefts_in_constrs ~subst uri paramsno tl i in
+ List.for_all2
+ (fun p (_,_,debruijnedte) ->
+ let rl'=recursive_args ~subst ~metasenv c_ctx 0 len debruijnedte in
+ let e, k = get_new_safes ~subst k p rl' in
+ is_really_smaller ~subst ~metasenv k e)
+ pl cl
+ | _ -> List.for_all (is_really_smaller ~subst ~metasenv k) pl)
-and returns_a_coinductive ~subst _ _ = assert false
+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.Prod (n,so,de) ->
+ returns_a_coinductive ~subst ((n,C.Decl so)::context) de
+ | _ -> None
-and type_of_constant ref = assert false (* USARE typecheck_obj0 *)
-(* ALIAS typecheck *)
-(*
- let cobj,ugraph1 =
- match CicEnvironment.is_type_checked ~trust:true ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj uobj ->
- logger#log (`Start_type_checking uri) ;
- let ugraph1_dust =
- typecheck_obj0 ~logger uri CicUniv.empty_ugraph uobj in
- try
- CicEnvironment.set_type_checking_info uri ;
- logger#log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked ~trust:false ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph')
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- )
- with
- (*
- this is raised if set_type_checking_info is called on an object
- that has no associated universe file. If we are in univ_maker
- phase this is OK since univ_maker will properly commit the
- object.
- *)
- Invalid_argument s ->
- (*debug_print (lazy s);*)
- uobj,ugraph1_dust
+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);
+ if not (fst (E.get_obj uri)) then
+ raise (AssertFailure (lazy "environment error"));
+ uobj
in
-CASO COSTRUTTORE
- match cobj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity,ugraph1
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri)))
-CASO TIPO INDUTTIVO
- match cobj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,_,cl) = List.nth dl i in
- let (_,ty) = List.nth cl (j-1) in
- ty,ugraph1
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
-CASO COSTANTE
-CASO FIX/COFIX
-*)
+ match cobj, 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)) ->
+ 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)) ->
+ let _,_,_,arity,_ = List.nth fl i in
+ arity
+ | (_,_,_,_,C.Constant (_,_,_,ty,_)), Ref.Ref (_,_,(Ref.Def |Ref.Decl)) -> ty
+ | _ -> raise (AssertFailure (lazy "type_of_constant: environment/reference"))
-and typecheck_obj0 (uri,height,metasenv,subst,kind) =
+and check_obj_well_typed (uri,height,metasenv,subst,kind) =
(* CSC: here we should typecheck the metasenv and the subst *)
assert (metasenv = [] && subst = []);
match kind with
| C.Constant (_,_,Some te,ty,_) ->
+(*
+ prerr_endline ("TY: " ^ NCicPp.ppterm ~subst ~metasenv ~context:[] ty);
+ prerr_endline ("BO: " ^ NCicPp.ppterm ~subst ~metasenv ~context:[] te);
+*)
let _ = typeof ~subst ~metasenv [] ty in
let ty_te = typeof ~subst ~metasenv [] te in
+(* prerr_endline "XXXX"; *)
if not (R.are_convertible ~subst ~metasenv [] ty_te ty) then
raise (TypeCheckerFailure (lazy (Printf.sprintf
"the type of the body is not the one expected:\n%s\nvs\n%s"
- (NCicPp.ppterm ty_te) (NCicPp.ppterm ty))))
+ (NCicPp.ppterm ~subst ~metasenv ~context:[] ty_te)
+ (NCicPp.ppterm ~subst ~metasenv ~context:[] ty))))
| C.Constant (_,_,None,ty,_) -> ignore (typeof ~subst ~metasenv [] ty)
- | C.Inductive _ as obj -> check_mutual_inductive_defs uri obj
+ | 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 =
List.fold_left
) ([],[],0) fl
in
List.iter (fun (_,name,x,ty,bo) ->
+ let bo = debruijn uri len bo in
let ty_bo = typeof ~subst ~metasenv types bo in
if not (R.are_convertible ~subst ~metasenv types ty_bo (S.lift len ty))
then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies")))
else
if inductive then begin
- let m, context = eat_lambdas ~subst types (x + 1) bo in
+ let m, context = eat_lambdas ~subst ~metasenv types (x + 1) bo in
(* guarded by destructors conditions D{f,k,x,M} *)
let rec enum_from k =
function [] -> [] | v::tl -> (k,v)::enum_from (k+1) tl
in
- if not (guarded_by_destructors
- ~subst context (enum_from (x+1) kl) m) then
- raise(TypeCheckerFailure(lazy("Fix: not guarded by destructors")))
+ guarded_by_destructors
+ ~subst ~metasenv context (enum_from (x+2) kl) m
end else
match returns_a_coinductive ~subst [] ty with
| None ->
(lazy "CoFix: does not return a coinductive type"))
| Some uri ->
(* guarded by constructors conditions C{f,M} *)
- if not (guarded_by_constructors ~subst
+ if not (guarded_by_constructors ~subst ~metasenv
types 0 len false bo [] uri)
then
raise (TypeCheckerFailure
(lazy "CoFix: not guarded by constructors"))
) fl
-let typecheck_obj (*uri*) obj = assert false (*
- let ugraph = typecheck_obj0 ~logger uri CicUniv.empty_ugraph obj in
- let ugraph, univlist, obj = CicUnivUtils.clean_and_fill uri obj ugraph in
- CicEnvironment.add_type_checked_obj uri (obj,ugraph,univlist)
-*)
-;;
+let typecheck_obj = check_obj_well_typed;;
+
+(* EOF *)
projects / helm.git / blobdiff