* http://cs.unibo.it/helm/.
*)
-let lift n =
+exception CannotSubstInMeta;;
+exception RelToHiddenHypothesis;;
+exception ReferenceToVariable;;
+exception ReferenceToConstant;;
+exception ReferenceToCurrentProof;;
+exception ReferenceToInductiveDefinition;;
+
+let debug_print = fun _ -> ()
+
+let lift_from k n =
let rec liftaux k =
let module C = Cic in
function
C.Rel m
else
C.Rel (m + n)
- | C.Var _ as t -> t
- | C.Meta _ as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux 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 (liftaux k t)
+ ) l
+ in
+ C.Meta(i,l')
| C.Sort _ as t -> t
- | C.Implicit as t -> t
+ | C.Implicit _ as t -> t
| C.Cast (te,ty) -> C.Cast (liftaux k te, liftaux k ty)
| C.Prod (n,s,t) -> C.Prod (n, liftaux k s, liftaux (k+1) t)
| C.Lambda (n,s,t) -> C.Lambda (n, liftaux k s, liftaux (k+1) t)
| C.LetIn (n,s,t) -> C.LetIn (n, liftaux k s, liftaux (k+1) t)
| C.Appl l -> C.Appl (List.map (liftaux k) l)
- | C.Const _ as t -> t
- | C.Abst _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outty,t,pl) ->
- C.MutCase (sp, cookingsno, i, liftaux k outty, liftaux k t,
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux k t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux 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,liftaux 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, liftaux k outty, liftaux k t,
List.map (liftaux k) pl)
| C.Fix (i, fl) ->
let len = List.length fl in
in
C.CoFix (i, liftedfl)
in
- liftaux 1
+ liftaux k
+
+let lift n t =
+ if n = 0 then
+ t
+ else
+ lift_from 1 n t
;;
let subst arg =
| n when n < k -> t
| _ -> C.Rel (n - 1)
)
- | C.Var _ as t -> t
- | C.Meta _ as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,substaux k t)) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (i, l) as t ->
+ let l' =
+ List.map
+ (function
+ None -> None
+ | Some t -> Some (substaux k t)
+ ) l
+ in
+ C.Meta(i,l')
| C.Sort _ as t -> t
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> C.Cast (substaux k te, substaux k ty) (*CSC ??? *)
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (substaux k te, substaux k ty)
| C.Prod (n,s,t) -> C.Prod (n, substaux k s, substaux (k + 1) t)
| C.Lambda (n,s,t) -> C.Lambda (n, substaux k s, substaux (k + 1) t)
| C.LetIn (n,s,t) -> C.LetIn (n, substaux k s, substaux (k + 1) t)
- | C.Appl l -> C.Appl (List.map (substaux k) l)
- | C.Const _ as t -> t
- | C.Abst _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,substaux k outt, substaux k t,
+ | C.Appl (he::tl) ->
+ (* Invariant: no Appl applied to another Appl *)
+ let tl' = List.map (substaux k) tl in
+ begin
+ match substaux k he with
+ C.Appl l -> C.Appl (l@tl')
+ | _ as he' -> C.Appl (he'::tl')
+ end
+ | C.Appl _ -> assert false
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,substaux k t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,typeno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,substaux k t)) exp_named_subst
+ in
+ C.MutInd (uri,typeno,exp_named_subst')
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,substaux k t)) exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,substaux k outt, substaux k t,
List.map (substaux k) pl)
| C.Fix (i,fl) ->
let len = List.length fl in
substaux 1
;;
-let undebrujin_inductive_def uri =
- function
- Cic.InductiveDefinition (dl,params,n_ind_params) ->
- let dl' =
- List.map
- (fun (name,inductive,arity,constructors) ->
- let constructors' =
- List.map
- (fun (name,ty,r) ->
- let ty' =
- let counter = ref (List.length dl) in
- List.fold_right
- (fun _ ->
- decr counter ;
- subst (Cic.MutInd (uri,0,!counter))
- ) dl ty
- in
- (name,ty',r)
- ) constructors
+(*CSC: i controlli di tipo debbono essere svolti da destra a *)
+(*CSC: sinistra: i{B/A;b/a} ==> a{B/A;b/a} ==> a{b/a{B/A}} ==> b *)
+(*CSC: la sostituzione ora e' implementata in maniera simultanea, ma *)
+(*CSC: dovrebbe diventare da sinistra verso destra: *)
+(*CSC: t{a=a/A;b/a} ==> \H:a=a.H{b/a} ==> \H:b=b.H *)
+(*CSC: per la roba che proviene da Coq questo non serve! *)
+let subst_vars exp_named_subst =
+(*
+debug_print (lazy ("@@@POSSIBLE BUG: SUBSTITUTION IS NOT SIMULTANEOUS")) ;
+*)
+ let rec substaux k =
+ let module C = Cic in
+ function
+ C.Rel _ as t -> t
+ | C.Var (uri,exp_named_subst') ->
+ (try
+ let (_,arg) =
+ List.find
+ (function (varuri,_) -> UriManager.eq uri varuri) exp_named_subst
in
- (name,inductive,arity,constructors')
- ) dl
- in
- Cic.InductiveDefinition (dl', params, n_ind_params)
- | obj -> obj
+ lift (k -1) arg
+ with
+ Not_found ->
+ let params =
+ let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match obj with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable (_,_,_,params,_) -> params
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ )
+ in
+(*
+debug_print (lazy "\n\n---- BEGIN ") ;
+debug_print (lazy ("----params: " ^ String.concat " ; " (List.map UriManager.string_of_uri params))) ;
+debug_print (lazy ("----S(" ^ UriManager.string_of_uri uri ^ "): " ^ String.concat " ; " (List.map (function (uri,_) -> UriManager.string_of_uri uri) exp_named_subst))) ;
+debug_print (lazy ("----P: " ^ String.concat " ; " (List.map (function (uri,_) -> UriManager.string_of_uri uri) exp_named_subst'))) ;
+*)
+ let exp_named_subst'' =
+ substaux_in_exp_named_subst uri k exp_named_subst' params
+ in
+(*
+debug_print (lazy ("----D: " ^ String.concat " ; " (List.map (function (uri,_) -> UriManager.string_of_uri uri) exp_named_subst''))) ;
+debug_print (lazy "---- END\n\n ") ;
+*)
+ C.Var (uri,exp_named_subst'')
+ )
+ | C.Meta (i, l) as t ->
+ let l' =
+ List.map
+ (function
+ None -> None
+ | Some t -> Some (substaux k t)
+ ) l
+ in
+ C.Meta(i,l')
+ | C.Sort _ as t -> t
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (substaux k te, substaux k ty)
+ | C.Prod (n,s,t) -> C.Prod (n, substaux k s, substaux (k + 1) t)
+ | C.Lambda (n,s,t) -> C.Lambda (n, substaux k s, substaux (k + 1) t)
+ | C.LetIn (n,s,t) -> C.LetIn (n, substaux k s, substaux (k + 1) t)
+ | C.Appl (he::tl) ->
+ (* Invariant: no Appl applied to another Appl *)
+ let tl' = List.map (substaux k) tl in
+ begin
+ match substaux k he with
+ C.Appl l -> C.Appl (l@tl')
+ | _ as he' -> C.Appl (he'::tl')
+ end
+ | C.Appl _ -> assert false
+ | C.Const (uri,exp_named_subst') ->
+ let params =
+ let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match obj with
+ C.Constant (_,_,_,params,_) -> params
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof (_,_,_,_,params,_) -> params
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ )
+ in
+ let exp_named_subst'' =
+ substaux_in_exp_named_subst uri k exp_named_subst' params
+ in
+ C.Const (uri,exp_named_subst'')
+ | C.MutInd (uri,typeno,exp_named_subst') ->
+ let params =
+ let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match obj with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition (_,params,_,_) -> params
+ )
+ in
+ let exp_named_subst'' =
+ substaux_in_exp_named_subst uri k exp_named_subst' params
+ in
+ C.MutInd (uri,typeno,exp_named_subst'')
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst') ->
+ let params =
+ let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match obj with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition (_,params,_,_) -> params
+ )
+ in
+ let exp_named_subst'' =
+ substaux_in_exp_named_subst uri k exp_named_subst' params
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst'')
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,substaux k outt, substaux k t,
+ List.map (substaux k) pl)
+ | C.Fix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,i,ty,bo) -> (name, i, substaux k ty, substaux (k+len) bo))
+ fl
+ in
+ C.Fix (i, substitutedfl)
+ | C.CoFix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,ty,bo) -> (name, substaux k ty, substaux (k+len) bo))
+ fl
+ in
+ C.CoFix (i, substitutedfl)
+ and substaux_in_exp_named_subst uri k exp_named_subst' params =
+(*CSC: invece di concatenare sarebbe meglio rispettare l'ordine dei params *)
+(*CSC: e' vero???? una veloce prova non sembra confermare la teoria *)
+ let rec filter_and_lift =
+ function
+ [] -> []
+ | (uri,t)::tl when
+ List.for_all
+ (function (uri',_) -> not (UriManager.eq uri uri')) exp_named_subst'
+ &&
+ List.mem uri params
+ ->
+ (uri,lift (k-1) t)::(filter_and_lift tl)
+ | _::tl -> filter_and_lift tl
+(*
+ | (uri,_)::tl ->
+debug_print (lazy ("---- SKIPPO " ^ UriManager.string_of_uri uri)) ;
+if List.for_all (function (uri',_) -> not (UriManager.eq uri uri'))
+exp_named_subst' then debug_print (lazy "---- OK1") ;
+debug_print (lazy ("++++ uri " ^ UriManager.string_of_uri uri ^ " not in " ^ String.concat " ; " (List.map UriManager.string_of_uri params))) ;
+if List.mem uri params then debug_print (lazy "---- OK2") ;
+ filter_and_lift tl
+*)
+ in
+ List.map (function (uri,t) -> (uri,substaux k t)) exp_named_subst' @
+ (filter_and_lift exp_named_subst)
+ in
+ substaux 1
+;;
+
+(* subst_meta [t_1 ; ... ; t_n] t *)
+(* returns the term [t] where [Rel i] is substituted with [t_i] *)
+(* [t_i] is lifted as usual when it crosses an abstraction *)
+let subst_meta l t =
+ let module C = Cic in
+ if l = [] then t else
+ let rec aux k = function
+ C.Rel n as t ->
+ if n <= k then t else
+ (try
+ match List.nth l (n-k-1) with
+ None -> raise RelToHiddenHypothesis
+ | Some t -> lift k t
+ with
+ (Failure _) -> assert false
+ )
+ | 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 ->
+ try
+ Some (aux k t)
+ with
+ RelToHiddenHypothesis -> None
+ ) l
+ in
+ C.Meta(i,l')
+ | C.Sort _ as t -> t
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (aux k te, aux k ty) (*CSC ??? *)
+ | 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,t) -> C.LetIn (n, aux k s, 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,typeno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutInd (uri,typeno,exp_named_subst')
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,aux k outt, aux k t, List.map (aux k) pl)
+ | C.Fix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,i,ty,bo) -> (name, i, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.Fix (i, substitutedfl)
+ | C.CoFix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,ty,bo) -> (name, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.CoFix (i, substitutedfl)
+ in
+ aux 0 t
;;
+
projects / helm.git / blobdiff