X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicSubstitution.ml;h=a9fa1d9b19e8e86ca8c8b89621e6fa4e13c365e1;hb=4167cea65ca58897d1a3dbb81ff95de5074700cc;hp=f312f556c9600fc3ea1179df2d1e54f72ee3867a;hpb=c929e791b0eca1e75694a663a2f6ada9f0ff9534;p=helm.git diff --git a/helm/ocaml/cic_proof_checking/cicSubstitution.ml b/helm/ocaml/cic_proof_checking/cicSubstitution.ml index f312f556c..a9fa1d9b1 100644 --- a/helm/ocaml/cic_proof_checking/cicSubstitution.ml +++ b/helm/ocaml/cic_proof_checking/cicSubstitution.ml @@ -25,8 +25,14 @@ exception CannotSubstInMeta;; exception RelToHiddenHypothesis;; +exception ReferenceToVariable;; +exception ReferenceToConstant;; +exception ReferenceToCurrentProof;; +exception ReferenceToInductiveDefinition;; -let lift n = +let debug_print = fun _ -> () + +let lift_from k n = let rec liftaux k = let module C = Cic in function @@ -35,7 +41,11 @@ let lift n = C.Rel m else C.Rel (m + n) - | C.Var _ 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 @@ -46,17 +56,29 @@ let lift n = 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.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 @@ -75,10 +97,13 @@ let lift n = in C.CoFix (i, liftedfl) in + liftaux k + +let lift n t = if n = 0 then - (function t -> t) + t else - liftaux 1 + lift_from 1 n t ;; let subst arg = @@ -91,7 +116,11 @@ let subst arg = | n when n < k -> t | _ -> C.Rel (n - 1) ) - | C.Var _ 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 @@ -102,7 +131,7 @@ let subst arg = 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 (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) @@ -116,11 +145,23 @@ let subst arg = | _ as he' -> C.Appl (he'::tl') end | C.Appl _ -> assert false - | C.Const _ 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.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 @@ -142,41 +183,177 @@ let subst arg = 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 ;; -(* l is the relocation list *) - -let lift_meta l t = - let module C = Cic in - if l = [] then t else - let rec aux k = function +(* 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 + if n <= k then t else (try match List.nth l (n-k-1) with None -> raise RelToHiddenHypothesis @@ -184,7 +361,11 @@ let lift_meta l t = with (Failure _) -> assert false ) - | C.Var _ as t -> t + | 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 @@ -199,18 +380,29 @@ let lift_meta l t = 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 (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 _ 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,aux k outt, aux k t, - List.map (aux k) pl) + | 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 = @@ -230,3 +422,4 @@ let lift_meta l t = in aux 0 t ;; +