raise (TypeCheckerFailure (lazy "Parameters number < left parameters number"))
;;
-let debrujin_constructor ?(cb=fun _ _ -> ()) uri number_of_types =
+let debrujin_constructor ?(cb=fun _ _ -> ()) ?(check_exp_named_subst=true) uri number_of_types context =
let rec aux k t =
let module C = Cic in
let res =
in
C.Const (uri,exp_named_subst')
| C.MutInd (uri',tyno,exp_named_subst) when UriManager.eq uri uri' ->
- if exp_named_subst != [] then
+ if check_exp_named_subst && exp_named_subst != [] then
raise (TypeCheckerFailure
(lazy ("non-empty explicit named substitution is applied to "^
"a mutual inductive type which is being defined"))) ;
cb t res;
res
in
- aux 0
+ aux (List.length context)
;;
exception CicEnvironmentError;;
let ugraph'' =
List.fold_left
(fun ugraph (name,te) ->
- let debrujinedte = debrujin_constructor uri len te in
+ let debrujinedte = debrujin_constructor uri len [] te in
let augmented_term =
List.fold_right
(fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
and recursive_args context n nn te =
let module C = Cic in
- match CicReduction.whd context te with
- C.Rel _ -> []
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit _
- | C.Cast _ (*CSC ??? *) ->
- raise (AssertFailure (lazy "3")) (* due to type-checking *)
- | C.Prod (name,so,de) ->
- (not (does_not_occur context n nn so)) ::
- (recursive_args ((Some (name,(C.Decl so)))::context) (n+1) (nn + 1) de)
- | C.Lambda _
- | C.LetIn _ ->
- raise (AssertFailure (lazy "4")) (* due to type-checking *)
- | C.Appl _ -> []
- | C.Const _ -> raise (AssertFailure (lazy "5"))
- | C.MutInd _
- | C.MutConstruct _
- | C.MutCase _
- | C.Fix _
- | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
+ match CicReduction.whd context te with
+ C.Rel _
+ | C.MutInd _ -> []
+ | C.Var _
+ | C.Meta _
+ | C.Sort _
+ | C.Implicit _
+ | C.Cast _ (*CSC ??? *) ->
+ raise (AssertFailure (lazy "3")) (* due to type-checking *)
+ | C.Prod (name,so,de) ->
+ (not (does_not_occur context n nn so)) ::
+ (recursive_args ((Some (name,(C.Decl so)))::context) (n+1) (nn + 1) de)
+ | C.Lambda _
+ | C.LetIn _ ->
+ raise (AssertFailure (lazy "4")) (* due to type-checking *)
+ | C.Appl _ -> []
+ | C.Const _ -> raise (AssertFailure (lazy "5"))
+ | C.MutConstruct _
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
-and get_new_safes ~subst context p c rl safes n nn x =
+and get_new_safes ~subst context p rl safes n nn x =
let module C = Cic in
let module U = UriManager in
let module R = CicReduction in
- match (R.whd ~subst context c, R.whd ~subst context p, rl) with
- (C.Prod (_,so,ta1), C.Lambda (name,_,ta2), b::tl) ->
- (* we are sure that the two sources are convertible because we *)
- (* have just checked this. So let's go along ... *)
- let safes' =
- List.map (fun x -> x + 1) safes
- in
- let safes'' =
- if b then 1::safes' else safes'
- in
- get_new_safes ~subst ((Some (name,(C.Decl so)))::context)
- ta2 ta1 tl safes'' (n+1) (nn+1) (x+1)
- | (C.Prod _, (C.MutConstruct _ as e), _)
- | (C.Prod _, (C.Rel _ as e), _)
- | (C.MutInd _, e, [])
- | (C.Appl _, e, []) -> (e,safes,n,nn,x,context)
- | (c,p,l) ->
- (* CSC: If the next exception is raised, it just means that *)
- (* CSC: the proof-assistant allows to use very strange things *)
- (* CSC: as a branch of a case whose type is a Prod. In *)
- (* CSC: particular, this means that a new (C.Prod, x,_) case *)
- (* CSC: must be considered in this match. (e.g. x = MutCase) *)
+ match R.whd ~subst context p, rl with
+ | C.Lambda (name,so,ta), b::tl ->
+ let safes = List.map (fun x -> x + 1) safes in
+ let safes = if b then 1::safes else safes in
+ get_new_safes ~subst ((Some (name,(C.Decl so)))::context)
+ ta tl safes (n+1) (nn+1) (x+1)
+ | C.MutConstruct _ as e, _
+ | (C.Rel _ as e), _
+ | e, [] -> (e,safes,n,nn,x,context)
+ | p,_::_ ->
raise
(AssertFailure (lazy
- (Printf.sprintf "Get New Safes: c=%s ; p=%s"
- (CicPp.ppterm c) (CicPp.ppterm p))))
+ (Printf.sprintf "Get New Safes: p=%s" (CicPp.ppterm p))))
and split_prods ~subst context n te =
let module C = Cic in
| (n, te) ->
raise (AssertFailure (lazy (sprintf "9 (%d, %s)" n (CicPp.ppterm te))))
-and check_is_really_smaller_arg ~subst context n nn kl x safes te =
+and specialize_inductive_type ~logger ~subst ~metasenv context t =
+ let ty,_= type_of_aux' ~logger ~subst metasenv context t CicUniv.oblivion_ugraph in
+ match CicReduction.whd ~subst context ty with
+ | Cic.MutInd (uri,_,exp)
+ | Cic.Appl (Cic.MutInd (uri,_,exp) :: _) as ty ->
+ let args = match ty with Cic.Appl (_::tl) -> tl | _ -> [] in
+ let o,_ = CicEnvironment.get_obj CicUniv.oblivion_ugraph uri in
+ (match o with
+ | Cic.InductiveDefinition (tl,_,paramsno,_) ->
+ let left_args,_ = HExtlib.split_nth paramsno args in
+ List.map (fun (name, isind, arity, cl) ->
+ let arity = CicSubstitution.subst_vars exp arity in
+ let arity = instantiate_parameters left_args arity in
+ let cl =
+ List.map
+ (fun (id,ty) ->
+ let ty = CicSubstitution.subst_vars exp ty in
+ id, instantiate_parameters left_args ty)
+ cl
+ in
+ name, isind, arity, cl)
+ tl
+ | _ -> assert false)
+ | _ -> assert false
+
+and check_is_really_smaller_arg
+ ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes te
+=
let module C = Cic in
let module U = UriManager in
(*CSC: we could perform beta-iota(-zeta?) immediately, and
| C.Const _
| C.Var _ -> false
| C.Lambda (name,ty,ta) ->
- check_is_really_smaller_arg ~subst (Some (name,Cic.Decl ty)::context)
- (n+1) (nn+1) kl (x+1) (List.map (fun n -> n+1) safes) ta
+ check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst (Some (name,Cic.Decl ty)::context)
+ (n+1) (nn+1) kl (x+1) (List.map (fun n -> n+1) safes) ta
| C.MutCase (uri,i,outtype,term,pl) ->
(match term with
- C.Rel m | C.Appl ((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 (_,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
- (lefts@tys,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
- List.for_all2
- (fun p (_,c) ->
- let rl' =
- let debrujinedte = debrujin_constructor uri len c in
- recursive_args lefts_and_tys paramsno
- (len+paramsno) debrujinedte
- in
- let (e, safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- check_is_really_smaller_arg
- ~subst context' n' nn' kl x' safes' e
- ) pl cl
+ | C.Rel m | C.Appl ((C.Rel m)::_) when List.mem m safes || m = x ->
+ let tys =
+ specialize_inductive_type ~logger ~subst ~metasenv context term
+ in
+ let tys_ctx =
+ List.map (fun (name,_,ty,_) -> Some (Cic.Name name, Cic.Decl ty)) tys
+ in
+ let _,isinductive,_,cl = List.nth tys i in
+ if not isinductive then
+ List.for_all
+ (check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context n nn kl x safes)
+ pl
+ else
+ List.for_all2
+ (fun p (_,c) ->
+ let rec_params =
+ let c =
+ debrujin_constructor ~check_exp_named_subst:false
+ rec_uri rec_uri_len context c in
+ let len_ctx = List.length context in
+ recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
+ in
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p rec_params safes n nn x
+ in
+ check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
+ ) pl cl
| _ ->
- List.fold_right
- (fun p i ->
- i && check_is_really_smaller_arg ~subst context n nn kl x safes p
- ) pl true
+ List.for_all
+ (check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst
+ context n nn kl x safes) pl
)
| C.Fix (_, fl) ->
let len = List.length fl in
len+1)
) ([],0) fl
and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,_,_,bo) i ->
- i &&
- check_is_really_smaller_arg ~subst (tys@context) n_plus_len nn_plus_len kl
+ List.for_all
+ (fun (_,_,_,bo) ->
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst
+ (tys@context) n_plus_len nn_plus_len kl
x_plus_len safes' bo
- ) fl true
+ ) fl
| t ->
raise (AssertFailure (lazy ("An inhabitant of an inductive type in normal form cannot have this shape: " ^ CicPp.ppterm t)))
-and guarded_by_destructors ~subst context n nn kl x safes t =
+and guarded_by_destructors
+ ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes t
+=
let module C = Cic in
let module U = UriManager in
match CicReduction.whd ~subst context t with
(match List.nth context (m-1) with
Some (_,C.Decl _) -> true
| Some (_,C.Def (bo,_)) ->
- guarded_by_destructors ~subst context n nn kl x safes
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
(CicSubstitution.lift m bo)
| None -> raise (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
)
| C.Sort _
| C.Implicit _ -> true
| C.Cast (te,ty) ->
- guarded_by_destructors ~subst context n nn kl x safes te &&
- guarded_by_destructors ~subst context n nn kl x safes ty
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes te &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty
| C.Prod (name,so,ta) ->
- guarded_by_destructors ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst ((Some (name,(C.Decl so)))::context)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((Some (name,(C.Decl so)))::context)
(n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
| C.Lambda (name,so,ta) ->
- guarded_by_destructors ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst ((Some (name,(C.Decl so)))::context)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~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) ->
- guarded_by_destructors ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst context n nn kl x safes ty &&
- guarded_by_destructors ~subst ((Some (name,(C.Def (so,ty))))::context)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~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 ((C.Rel m)::tl) when m > n && m <= nn ->
let k = List.nth kl (m - n - 1) in
if not (List.length tl > k) then false
else
- List.fold_right
- (fun param i ->
- i && guarded_by_destructors ~subst context n nn kl x safes param
- ) tl true &&
- check_is_really_smaller_arg ~subst context n nn kl x safes (List.nth tl k)
+ List.for_all
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) tl &&
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context n nn kl x safes (List.nth tl k)
| C.Var (_,exp_named_subst)
| C.Const (_,exp_named_subst)
| C.MutInd (_,_,exp_named_subst)
| C.MutConstruct (_,_,_,exp_named_subst) ->
List.for_all
- (fun (_,t) -> guarded_by_destructors ~subst context n nn kl x safes t)
+ (fun (_,t) -> guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
exp_named_subst
| C.MutCase (uri,i,outtype,term,pl) ->
(match CicReduction.whd ~subst context term with
| C.Appl ((C.Rel m)::_) as t when List.mem m safes || m = x ->
let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
List.for_all
- (guarded_by_destructors ~subst context n nn kl x safes)
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
tl &&
- 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
- (lefts@tys,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
+ let tys =
+ specialize_inductive_type ~logger ~subst ~metasenv context t
+ in
+ let tys_ctx =
+ List.map
+ (fun (name,_,ty,_) -> Some (Cic.Name name, Cic.Decl ty)) tys
in
+ let _,isinductive,_,cl = List.nth tys i in
if not isinductive then
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- guarded_by_destructors ~subst context n nn kl x safes term &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes term &&
List.for_all
- (guarded_by_destructors ~subst context n nn kl x safes)
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
pl
else
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
List.for_all2
- (fun p (_,c) ->
- let rl' =
- let debrujinedte = debrujin_constructor uri len c in
- recursive_args lefts_and_tys paramsno
- (len+paramsno) debrujinedte
- in
- let (e, safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- guarded_by_destructors ~subst context' n' nn' kl x' safes' e
+ (fun p (_,c) ->
+ let rec_params =
+ let c =
+ debrujin_constructor ~check_exp_named_subst:false
+ rec_uri rec_uri_len context c in
+ let len_ctx = List.length context in
+ recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
+ in
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p rec_params safes n nn x
+ in
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
) pl cl
| _ ->
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- guarded_by_destructors ~subst context n nn kl x safes term &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes term &&
(*CSC: manca ??? il controllo sul tipo di term? *)
List.fold_right
- (fun p i -> i && guarded_by_destructors ~subst context n nn kl x safes p)
+ (fun p i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes p)
pl true
)
| C.Appl (C.Fix (fixno, fl)::_) | C.Fix (fixno,fl) as t->
) ([],0) fl in
let safes' = List.map (fun x -> x + len) safes in
List.for_all
- (guarded_by_destructors ~subst context n nn kl x safes) l &&
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) l &&
snd (List.fold_left
(fun (fixno',i) (_,recno,ty,bo) ->
fixno'+1,
i &&
- guarded_by_destructors ~subst context n nn kl x_plus_len safes' ty &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
if
fixno' = fixno &&
List.length l > recno &&
(*case where the recursive argument is already really_smaller *)
- check_is_really_smaller_arg ~subst context n nn kl x safes
- (List.nth l recno)
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
+ (List.nth l recno)
then
let bo_without_lambdas,_,context =
eat_lambdas ~subst (tys@context) (recno+1) bo
in
(* we assume the formal argument to be safe *)
- guarded_by_destructors ~subst context (n_plus_len+recno+1)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context (n_plus_len+recno+1)
(nn_plus_len+recno+1) kl (x_plus_len+recno+1)
(1::List.map (fun x -> x+recno+1) safes')
bo_without_lambdas
else
- guarded_by_destructors ~subst (tys@context) n_plus_len nn_plus_len
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len
kl x_plus_len safes' bo
) (0,true) fl)
| C.CoFix (_, fl) ->
List.fold_right
(fun (_,ty,bo) i ->
i &&
- guarded_by_destructors ~subst context n nn kl x_plus_len safes' ty &&
- guarded_by_destructors ~subst (tys@context) n_plus_len nn_plus_len kl
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len kl
x_plus_len safes' bo
) fl true
| C.Appl tl ->
List.fold_right
- (fun t i -> i && guarded_by_destructors ~subst context n nn kl x safes t)
+ (fun t i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
tl true
(* the boolean h means already protected *)
let (m, eaten, context') =
eat_lambdas ~subst (types @ context) (x + 1) bo
in
+ let rec_uri, rec_uri_len =
+ match List.hd context' with
+ | Some (_,Cic.Decl (Cic.MutInd (uri,_,_)))
+ | Some (_,Cic.Decl (Cic.Appl (Cic.MutInd (uri,_,_)::_))) ->
+ uri,
+ (match
+ CicEnvironment.get_obj
+ CicUniv.oblivion_ugraph uri
+ with
+ | Cic.InductiveDefinition (tl,_,_,_), _ ->
+ List.length tl
+ | _ -> assert false)
+ | _ -> assert false
+ in
(*
let's control the guarded by
destructors conditions D{f,k,x,M}
*)
- if not (guarded_by_destructors ~subst context' eaten
- (len + eaten) kl 1 [] m) then
+ if not (guarded_by_destructors ~logger ~metasenv ~subst
+ rec_uri rec_uri_len context' eaten (len + eaten) kl
+ 1 [] m)
+ then
raise
(TypeCheckerFailure
(lazy ("Fix: not guarded by destructors:"^CicPp.ppterm t)))
projects / helm.git / commitdiff