(* $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
let ugraph'' =
List.fold_left
(fun ugraph (name,te) ->
- let debruijnedte = debruijn_constructor uri len te in
+ let debruijnedte = debruijn uri len te in
let augmented_term =
List.fold_right
(fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
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
| (_, _) -> raise (AssertFailure (lazy "split_prods"))
;;
-let debruijn_constructor ?(cb=fun _ _ -> ()) uri number_of_types t = assert false
-(*
+let debruijn ?(cb=fun _ _ -> ()) uri number_of_types =
let rec aux k t =
- let module C = Cic in
let res =
match t with
- C.Rel n as t when n <= k -> t
- | C.Rel _ ->
- raise (TypeCheckerFailure (lazy "unbound variable found in constructor type"))
- | C.Var (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
- in
- C.Var (uri,exp_named_subst')
- | C.Meta (i,l) ->
- let l' = List.map (function None -> None | Some t -> Some (aux k t)) l in
- C.Meta (i,l')
- | C.Sort _
- | C.Implicit _ as t -> t
- | C.Cast (te,ty) -> C.Cast (aux k te, aux k ty)
- | C.Prod (n,s,t) -> C.Prod (n, aux k s, aux (k+1) t)
- | C.Lambda (n,s,t) -> C.Lambda (n, aux k s, aux (k+1) t)
- | C.LetIn (n,s,ty,t) -> C.LetIn (n, aux k s, aux k ty, aux (k+1) t)
- | C.Appl l -> C.Appl (List.map (aux k) l)
- | C.Const (uri,exp_named_subst) ->
- let exp_named_subst' =
- List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
- in
- C.Const (uri,exp_named_subst')
- | C.MutInd (uri',tyno,exp_named_subst) when UriManager.eq uri uri' ->
- if exp_named_subst != [] then
- raise (TypeCheckerFailure
- (lazy ("non-empty explicit named substitution is applied to "^
- "a mutual inductive type which is being defined"))) ;
- C.Rel (k + number_of_types - tyno) ;
- | C.MutInd (uri',tyno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
- in
- C.MutInd (uri',tyno,exp_named_subst')
- | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
- let exp_named_subst' =
- List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
- in
- C.MutConstruct (uri,tyno,consno,exp_named_subst')
- | C.MutCase (sp,i,outty,t,pl) ->
- C.MutCase (sp, i, aux k outty, aux k t,
- List.map (aux k) pl)
- | C.Fix (i, fl) ->
- let len = List.length fl in
- let liftedfl =
- List.map
- (fun (name, i, ty, bo) -> (name, i, aux k ty, aux (k+len) bo))
- fl
- in
- C.Fix (i, liftedfl)
- | C.CoFix (i, fl) ->
- let len = List.length fl in
- let liftedfl =
- List.map
- (fun (name, ty, bo) -> (name, aux k ty, aux (k+len) bo))
- fl
- in
- C.CoFix (i, liftedfl)
+ | C.Meta (i,(s,C.Ctx l)) ->
+ let l1 = NCicUtils.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 -> NCicUtils.map (fun _ k -> k+1) k aux t
in
- cb t res;
- res
+ cb t res; res
in
- aux 0*)
+ aux 0
;;
-
let sort_of_prod ~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
aux ty_he args_with_ty
;;
-let fix_lefts_in_constrs ~subst paramsno tyl i =
+let fix_lefts_in_constrs ~subst uri paramsno tyl i =
let len = List.length tyl in
let _,_,arity,cl = List.nth tyl i in
let tys = List.map (fun (_,n,ty,_) -> n,C.Decl ty) tyl in
let cl' =
List.map
(fun (_,id,ty) ->
- let debruijnedty = debruijn_constructor ref len ty in
+ let debruijnedty = debruijn uri len ty in
id, snd (split_prods ~subst tys paramsno ty),
snd (split_prods ~subst tys paramsno debruijnedty))
cl
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
+ type_of_branch ~subst context leftno outtype cons ty_cons 0 in
j+1, R.are_convertible ~subst ~metasenv context ty_p ty_branch
else
j,false
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 -
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 ct) (NCicPp.ppterm t) (NCicPp.ppterm type_t))))
) l lifted_canonical_context
with
Invalid_argument _ ->
if not (List.length tl > rec_no) then raise NotGuarded
else
let rec_arg = List.nth tl rec_no in
- aux k rec_arg;
+ if not (is_really_smaller ~subst k rec_arg) then raise
+ NotGuarded;
List.iter (aux k) tl
- | C.Match (ref,outtype,term,pl) as t ->
+ | C.Match (Ref.Ref (_,uri,_) as ref,outtype,term,pl) as t ->
(match R.whd ~subst context term with
| C.Rel m | C.Appl (C.Rel m :: _ ) as t when List.mem m safes || m = x ->
let isinductive, paramsno, tl, _, i = E.get_checked_indtys ref in
if not isinductive then recursor aux k t
else
- let lefts_and_tys,len,cl = fix_lefts_in_constrs ~subst paramsno tl i in
+ let c_ctx,len,cl = fix_lefts_in_constrs ~subst uri paramsno tl i in
let args = match t with C.Appl (_::tl) -> tl | _ -> [] in
aux k outtype;
List.iter (aux k) args;
List.iter2
(fun p (_,_,bruijnedc) ->
- let rl = recursive_args ~subst lefts_and_tys 0 len bruijnedc in
+ let rl = recursive_args ~subst c_ctx 0 len bruijnedc in
let p, k = get_new_safes ~subst k p rl in
aux k p)
pl cl
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_constructor 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_constructor 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 (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 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 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 c_ctx 0 len debruijnedte in
+ let e, k = get_new_safes ~subst k p rl' in
+ is_really_smaller ~subst k e)
+ pl cl
+ | _ -> List.for_all (is_really_smaller ~subst 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 ->
+and type_of_constant ref =
+assert false (*
+ let cobj =
+ match E.get_obj uri with
+ | true, cobj -> cobj
+ | false, uobj ->
logger#log (`Start_type_checking uri) ;
let ugraph1_dust =
typecheck_obj0 ~logger uri CicUniv.empty_ugraph uobj in