X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicSubstitution.ml;h=17ee01b5333c3638e041d5cde49453123e5275c3;hb=5325734bc2e4927ed7ec146e35a6f0f2b49f50c1;hp=68276d74bac39f9a68b34cc5349c463908eae610;hpb=37f08b2aba9f17d9d609ca0f57d607f437a3d3fc;p=helm.git diff --git a/helm/ocaml/cic_proof_checking/cicSubstitution.ml b/helm/ocaml/cic_proof_checking/cicSubstitution.ml index 68276d74b..17ee01b53 100644 --- a/helm/ocaml/cic_proof_checking/cicSubstitution.ml +++ b/helm/ocaml/cic_proof_checking/cicSubstitution.ml @@ -25,6 +25,10 @@ exception CannotSubstInMeta;; exception RelToHiddenHypothesis;; +exception ReferenceToVariable;; +exception ReferenceToConstant;; +exception ReferenceToCurrentProof;; +exception ReferenceToInductiveDefinition;; let lift n = let rec liftaux k = @@ -35,7 +39,11 @@ 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 @@ -46,18 +54,29 @@ 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.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 @@ -92,7 +111,11 @@ 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 @@ -103,7 +126,7 @@ 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) @@ -117,12 +140,23 @@ let subst arg = | _ as he' -> C.Appl (he'::tl') end | C.Appl _ -> assert false - | 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.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 @@ -144,41 +178,172 @@ 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 = +(* +prerr_endline ("@@@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 = + (match CicEnvironment.get_cooked_obj ~trust:true uri with + C.Constant _ -> raise ReferenceToConstant + | C.Variable (_,_,_,params) -> params + | C.CurrentProof _ -> raise ReferenceToCurrentProof + | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition + ) + in +(* +prerr_endline "\n\n---- BEGIN " ; +prerr_endline ("----params: " ^ String.concat " ; " (List.map UriManager.string_of_uri params)) ; +prerr_endline ("----S(" ^ UriManager.string_of_uri uri ^ "): " ^ String.concat " ; " (List.map (function (uri,_) -> UriManager.string_of_uri uri) exp_named_subst)) ; +prerr_endline ("----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 +(* +prerr_endline ("----D: " ^ String.concat " ; " (List.map (function (uri,_) -> UriManager.string_of_uri uri) exp_named_subst'')) ; +prerr_endline "---- 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 = + (match CicEnvironment.get_cooked_obj ~trust:true uri 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 = + (match CicEnvironment.get_cooked_obj ~trust:true uri 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 = + (match CicEnvironment.get_cooked_obj ~trust:true uri 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 -> +prerr_endline ("---- SKIPPO " ^ UriManager.string_of_uri uri) ; +if List.for_all (function (uri',_) -> not (UriManager.eq uri uri')) exp_named_subst' then prerr_endline "---- OK1" ; +prerr_endline ("++++ uri " ^ UriManager.string_of_uri uri ^ " not in " ^ String.concat " ; " (List.map UriManager.string_of_uri params)) ; +if List.mem uri params then prerr_endline "---- 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 *) - +(* lift_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 lift_meta l t = - let module C = Cic in - if l = [] then t else - let rec aux k = function + 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 @@ -186,7 +351,11 @@ 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 @@ -201,19 +370,29 @@ 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.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,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 = @@ -233,105 +412,3 @@ let lift_meta l t = in aux 0 t ;; - -(************************************************************************) -(*CSC: spostare in cic_unification *) - -(* the delift function takes in input an ordered list of integers [n1,...,nk] - and a term t, and relocates rel(nk) to k. Typically, the list of integers - is a parameter of a metavariable occurrence. *) - -exception NotInTheList;; - -let position n = - let rec aux k = - function - [] -> raise NotInTheList - | (Some (Cic.Rel m))::_ when m=n -> k - | _::tl -> aux (k+1) tl in - aux 1 -;; - -let restrict to_be_restricted = - let rec erase i n = - function - [] -> [] - | _::tl when List.mem (n,i) to_be_restricted -> - None::(erase (i+1) n tl) - | he::tl -> he::(erase (i+1) n tl) in - let rec aux = - function - [] -> [] - | (n,context,t)::tl -> (n,erase 1 n context,t)::(aux tl) in - aux -;; - - -let delift context metasenv l t = - let to_be_restricted = ref [] in - let rec deliftaux k = - let module C = Cic in - function - C.Rel m -> - if m <=k then - C.Rel m (*CSC: che succede se c'e' un Def? Dovrebbe averlo gia' *) - (*CSC: deliftato la regola per il LetIn *) - else - (match List.nth context (m-k-1) with - Some (_,C.Def t) -> deliftaux k (lift m t) - | Some (_,C.Decl t) -> - (* It may augment to_be_restricted *) - ignore (deliftaux k (lift m t)) ; - C.Rel ((position (m-k) l) + k) - | None -> raise RelToHiddenHypothesis) - | C.Var _ as t -> t - | C.Meta (i, l1) as t -> - let rec deliftl j = - function - [] -> [] - | None::tl -> None::(deliftl (j+1) tl) - | (Some t)::tl -> - let l1' = (deliftl (j+1) tl) in - try - Some (deliftaux k t)::l1' - with - RelToHiddenHypothesis - | NotInTheList -> - to_be_restricted := (i,j)::!to_be_restricted ; None::l1' - in - let l' = deliftl 1 l1 in - C.Meta(i,l') - | C.Sort _ as t -> t - | C.Implicit as t -> t - | C.Cast (te,ty) -> C.Cast (deliftaux k te, deliftaux k ty) - | C.Prod (n,s,t) -> C.Prod (n, deliftaux k s, deliftaux (k+1) t) - | C.Lambda (n,s,t) -> C.Lambda (n, deliftaux k s, deliftaux (k+1) t) - | C.LetIn (n,s,t) -> C.LetIn (n, deliftaux k s, deliftaux (k+1) t) - | C.Appl l -> C.Appl (List.map (deliftaux 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, deliftaux k outty, deliftaux k t, - List.map (deliftaux k) pl) - | C.Fix (i, fl) -> - let len = List.length fl in - let liftedfl = - List.map - (fun (name, i, ty, bo) -> (name, i, deliftaux k ty, deliftaux (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, deliftaux k ty, deliftaux (k+len) bo)) - fl - in - C.CoFix (i, liftedfl) - in - let res = deliftaux 0 t in - res, restrict !to_be_restricted metasenv -;;