\ / 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
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 *)
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
(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
(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)
;;
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"
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
| 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 *)
(*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 ->
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
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))))
| (_,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))))
| 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
*)
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 =
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
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
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) ->
(_,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
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
(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: "^^
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)
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 _)) ->
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
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^
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
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 =
) 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
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
| 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 ->
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
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
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")
| 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 ->
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
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
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 *)