ignore (deliftaux k (S.lift m t)) ;
C.Rel ((position (m-k) l) + k)
| None -> raise RelToHiddenHypothesis)
- | C.Var _ as t -> t
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,deliftaux k t) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
| C.Meta (i, l1) as t ->
let rec deliftl j =
function
| 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,
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> uri,deliftaux 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,deliftaux 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,deliftaux k t) exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outty,t,pl) ->
+ C.MutCase (sp, i, deliftaux k outty, deliftaux k t,
List.map (deliftaux k) pl)
| C.Fix (i, fl) ->
let len = List.length fl in
a new substitution which is _NOT_ unwinded. It must be unwinded before
applying it. *)
-let fo_unif_new metasenv context t1 t2 =
- let module C = Cic in
- let module R = CicReduction in
- let module S = CicSubstitution in
- let rec fo_unif_aux subst context metasenv t1 t2 =
- match (t1, t2) with
- (C.Meta (n,ln), C.Meta (m,lm)) when n=m ->
- let ok =
- List.fold_left2
- (fun b t1 t2 ->
- b &&
- match t1,t2 with
- None,_
- | _,None -> true
- | Some t1', Some t2' ->
- (* First possibility: restriction *)
- (* Second possibility: unification *)
- (* Third possibility: convertibility *)
- R.are_convertible context t1' t2'
- ) true ln lm
- in
- if ok then subst,metasenv else
- raise UnificationFailed
- | (C.Meta (n,l), C.Meta (m,_)) when n>m ->
- fo_unif_aux subst context metasenv t2 t1
- | (C.Meta (n,l), t)
- | (t, C.Meta (n,l)) ->
- let subst',metasenv' =
- try
- let oldt = (List.assoc n subst) in
- let lifted_oldt = S.lift_meta l oldt in
- fo_unif_aux subst context metasenv lifted_oldt t
- with Not_found ->
-prerr_endline ("DELIFT2(" ^ CicPp.ppterm t ^ ")") ; flush stderr ;
-List.iter (function (Some t) -> prerr_endline ("l: " ^ CicPp.ppterm t) | None -> prerr_endline " _ ") l ; flush stderr ;
-prerr_endline "<DELIFT2" ; flush stderr ;
- let t',metasenv' = delift context metasenv l t in
- (n, t')::subst, metasenv'
- in
- let (_,_,meta_type) =
- List.find (function (m,_,_) -> m=n) metasenv' in
- let tyt = CicTypeChecker.type_of_aux' metasenv' context t in
- fo_unif_aux subst' context metasenv' (S.lift_meta l meta_type) tyt
- | (C.Rel _, _)
- | (_, C.Rel _)
- | (C.Var _, _)
- | (_, C.Var _)
- | (C.Sort _ ,_)
- | (_, C.Sort _)
- | (C.Implicit, _)
- | (_, C.Implicit) ->
- if R.are_convertible context t1 t2 then subst, metasenv
- else raise UnificationFailed
- | (C.Cast (te,ty), t2) -> fo_unif_aux subst context metasenv te t2
- | (t1, C.Cast (te,ty)) -> fo_unif_aux subst context metasenv t1 te
- | (C.Prod (n1,s1,t1), C.Prod (_,s2,t2)) ->
- let subst',metasenv' = fo_unif_aux subst context metasenv s1 s2 in
- fo_unif_aux subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
- | (C.Lambda (n1,s1,t1), C.Lambda (_,s2,t2)) ->
- let subst',metasenv' = fo_unif_aux subst context metasenv s1 s2 in
- fo_unif_aux subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
- | (C.LetIn (_,s1,t1), t2)
- | (t2, C.LetIn (_,s1,t1)) ->
- fo_unif_aux subst context metasenv t2 (S.subst s1 t1)
- | (C.Appl l1, C.Appl l2) ->
- let lr1 = List.rev l1 in
- let lr2 = List.rev l2 in
- let rec fo_unif_l subst metasenv = function
- [],_
- | _,[] -> assert false
- | ([h1],[h2]) ->
- fo_unif_aux subst context metasenv h1 h2
- | ([h],l)
- | (l,[h]) ->
- fo_unif_aux subst context metasenv h (C.Appl (List.rev l))
- | ((h1::l1),(h2::l2)) ->
- let subst', metasenv' =
- fo_unif_aux subst context metasenv h1 h2
- in
- fo_unif_l subst' metasenv' (l1,l2)
- in
- fo_unif_l subst metasenv (lr1, lr2)
- | (C.Const _, _)
- | (_, C.Const _)
- | (C.Abst _, _)
- | (_, C.Abst _)
- | (C.MutInd _, _)
- | (_, C.MutInd _)
- | (C.MutConstruct _, _)
- | (_, C.MutConstruct _) ->
- if R.are_convertible context t1 t2 then subst, metasenv
- else raise UnificationFailed
- | (C.MutCase (_,_,_,outt1,t1,pl1), C.MutCase (_,_,_,outt2,t2,pl2))->
- let subst', metasenv' =
- fo_unif_aux subst context metasenv outt1 outt2 in
- let subst'',metasenv'' =
- fo_unif_aux subst' context metasenv' t1 t2 in
- List.fold_left2
- (function (subst,metasenv) ->
- fo_unif_aux subst context metasenv
- ) (subst'',metasenv'') pl1 pl2
- | (C.Fix _, _)
- | (_, C.Fix _)
- | (C.CoFix _, _)
- | (_, C.CoFix _) ->
- if R.are_convertible context t1 t2 then subst, metasenv
- else raise UnificationFailed
- | (_,_) -> raise UnificationFailed
- in fo_unif_aux [] context metasenv t1 t2;;
+let rec fo_unif_subst subst context metasenv t1 t2 =
+ let module C = Cic in
+ let module R = CicReduction in
+ let module S = CicSubstitution in
+ match (t1, t2) with
+ (C.Meta (n,ln), C.Meta (m,lm)) when n=m ->
+ let ok =
+ List.fold_left2
+ (fun b t1 t2 ->
+ b &&
+ match t1,t2 with
+ None,_
+ | _,None -> true
+ | Some t1', Some t2' ->
+ (* First possibility: restriction *)
+ (* Second possibility: unification *)
+ (* Third possibility: convertibility *)
+ R.are_convertible context t1' t2'
+ ) true ln lm
+ in
+ if ok then subst,metasenv else raise UnificationFailed
+ | (C.Meta (n,l), C.Meta (m,_)) when n>m ->
+ fo_unif_subst subst context metasenv t2 t1
+ | (C.Meta (n,l), t)
+ | (t, C.Meta (n,l)) ->
+ let subst',metasenv' =
+ try
+ let oldt = (List.assoc n subst) in
+ let lifted_oldt = S.lift_meta l oldt in
+ fo_unif_subst subst context metasenv lifted_oldt t
+ with Not_found ->
+ let t',metasenv' = delift context metasenv l t in
+ (n, t')::subst, metasenv'
+ in
+ let (_,_,meta_type) =
+ List.find (function (m,_,_) -> m=n) metasenv' in
+ let tyt = CicTypeChecker.type_of_aux' metasenv' context t in
+ fo_unif_subst subst' context metasenv' (S.lift_meta l meta_type) tyt
+ | (C.Var (uri1,exp_named_subst1),C.Var (uri2,exp_named_subst2))
+ | (C.Const (uri1,exp_named_subst1),C.Const (uri2,exp_named_subst2)) ->
+ if UriManager.eq uri1 uri2 then
+ fo_unif_subst_exp_named_subst subst context metasenv
+ exp_named_subst1 exp_named_subst2
+ else
+ raise UnificationFailed
+ | C.MutInd (uri1,i1,exp_named_subst1),C.MutInd (uri2,i2,exp_named_subst2) ->
+ if UriManager.eq uri1 uri2 && i1 = i2 then
+ fo_unif_subst_exp_named_subst subst context metasenv
+ exp_named_subst1 exp_named_subst2
+ else
+ raise UnificationFailed
+ | C.MutConstruct (uri1,i1,j1,exp_named_subst1),
+ C.MutConstruct (uri2,i2,j2,exp_named_subst2) ->
+ if UriManager.eq uri1 uri2 && i1 = i2 && j1 = j2 then
+ fo_unif_subst_exp_named_subst subst context metasenv
+ exp_named_subst1 exp_named_subst2
+ else
+ raise UnificationFailed
+ | (C.Rel _, _)
+ | (_, C.Rel _)
+ | (C.Var _, _)
+ | (_, C.Var _)
+ | (C.Sort _ ,_)
+ | (_, C.Sort _)
+ | (C.Implicit, _)
+ | (_, C.Implicit) ->
+ if R.are_convertible context t1 t2 then
+ subst, metasenv
+ else
+ raise UnificationFailed
+ | (C.Cast (te,ty), t2) -> fo_unif_subst subst context metasenv te t2
+ | (t1, C.Cast (te,ty)) -> fo_unif_subst subst context metasenv t1 te
+ | (C.Prod (n1,s1,t1), C.Prod (_,s2,t2)) ->
+ let subst',metasenv' = fo_unif_subst subst context metasenv s1 s2 in
+ fo_unif_subst subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
+ | (C.Lambda (n1,s1,t1), C.Lambda (_,s2,t2)) ->
+ let subst',metasenv' = fo_unif_subst subst context metasenv s1 s2 in
+ fo_unif_subst subst' ((Some (n1,(C.Decl s1)))::context) metasenv' t1 t2
+ | (C.LetIn (_,s1,t1), t2)
+ | (t2, C.LetIn (_,s1,t1)) ->
+ fo_unif_subst subst context metasenv t2 (S.subst s1 t1)
+ | (C.Appl l1, C.Appl l2) ->
+ let lr1 = List.rev l1 in
+ let lr2 = List.rev l2 in
+ let rec fo_unif_l subst metasenv =
+ function
+ [],_
+ | _,[] -> assert false
+ | ([h1],[h2]) ->
+ fo_unif_subst subst context metasenv h1 h2
+ | ([h],l)
+ | (l,[h]) ->
+ fo_unif_subst subst context metasenv h (C.Appl (List.rev l))
+ | ((h1::l1),(h2::l2)) ->
+ let subst', metasenv' =
+ fo_unif_subst subst context metasenv h1 h2
+ in
+ fo_unif_l subst' metasenv' (l1,l2)
+ in
+ fo_unif_l subst metasenv (lr1, lr2)
+ | (C.Const _, _)
+ | (_, C.Const _)
+ | (C.MutInd _, _)
+ | (_, C.MutInd _)
+ | (C.MutConstruct _, _)
+ | (_, C.MutConstruct _) ->
+ if R.are_convertible context t1 t2 then
+ subst, metasenv
+ else
+ raise UnificationFailed
+ | (C.MutCase (_,_,outt1,t1,pl1), C.MutCase (_,_,outt2,t2,pl2))->
+ let subst', metasenv' =
+ fo_unif_subst subst context metasenv outt1 outt2 in
+ let subst'',metasenv'' =
+ fo_unif_subst subst' context metasenv' t1 t2 in
+ List.fold_left2
+ (function (subst,metasenv) ->
+ fo_unif_subst subst context metasenv
+ ) (subst'',metasenv'') pl1 pl2
+ | (C.Fix _, _)
+ | (_, C.Fix _)
+ | (C.CoFix _, _)
+ | (_, C.CoFix _) ->
+ if R.are_convertible context t1 t2 then
+ subst, metasenv
+ else
+ raise UnificationFailed
+ | (_,_) ->
+ if R.are_convertible context t1 t2 then
+ subst, metasenv
+ else
+ raise UnificationFailed
+
+and fo_unif_subst_exp_named_subst subst context metasenv
+ exp_named_subst1 exp_named_subst2
+=
+try
+ List.fold_left2
+ (fun (subst,metasenv) (uri1,t1) (uri2,t2) ->
+ assert (uri1=uri2) ;
+ fo_unif_subst subst context metasenv t1 t2
+ ) (subst,metasenv) exp_named_subst1 exp_named_subst2
+with
+e ->
+let uri = UriManager.uri_of_string "cic:/dummy.var" in
+prerr_endline ("@@@: " ^ CicPp.ppterm (Cic.Var (uri,exp_named_subst1)) ^
+" <==> " ^ CicPp.ppterm (Cic.Var (uri,exp_named_subst2))) ; raise e
+;;
(*CSC: ???????????????
(* m is the index of a metavariable to restrict, k is nesting depth
List.fold_left
(function metasenv -> aux metasenv k) metasenv l
| C.Const _
- | C.Abst _
| C.MutInd _
| C.MutConstruct _ -> metasenv
| C.MutCase (_,_,_,outty,t,pl) ->
let (_,canonical_context,_) =
List.find (function (m,_,_) -> m=i) metasenv
in
-prerr_endline ("DELIFT(" ^ CicPp.ppterm t' ^ ")") ; flush stderr ;
-List.iter (function (Some t) -> prerr_endline ("l: " ^ CicPp.ppterm t) | None -> prerr_endline " _ ") l ; flush stderr ;
-prerr_endline "<DELIFT" ; flush stderr ;
delift canonical_context metasenv' l t'
in
unwinded := (i,t')::!unwinded ;
| (he', metasenv'') -> C.Appl (he'::tl'),metasenv''
end
| C.Appl _ -> assert false
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ as t -> t,metasenv
- | C.MutCase (sp,cookingsno,i,outty,t,pl) ->
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst', metasenv' =
+ List.fold_right
+ (fun (uri,t) (tl,metasenv) ->
+ let t',metasenv' = um_aux metasenv t in
+ (uri,t')::tl, metasenv'
+ ) exp_named_subst ([],metasenv)
+ in
+ C.Const (uri,exp_named_subst'),metasenv'
+ | C.MutInd (uri,typeno,exp_named_subst) ->
+ let exp_named_subst', metasenv' =
+ List.fold_right
+ (fun (uri,t) (tl,metasenv) ->
+ let t',metasenv' = um_aux metasenv t in
+ (uri,t')::tl, metasenv'
+ ) exp_named_subst ([],metasenv)
+ in
+ C.MutInd (uri,typeno,exp_named_subst'),metasenv'
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ let exp_named_subst', metasenv' =
+ List.fold_right
+ (fun (uri,t) (tl,metasenv) ->
+ let t',metasenv' = um_aux metasenv t in
+ (uri,t')::tl, metasenv'
+ ) exp_named_subst ([],metasenv)
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst'),metasenv'
+ | C.MutCase (sp,i,outty,t,pl) ->
let outty',metasenv' = um_aux metasenv outty in
let t',metasenv'' = um_aux metasenv' t in
let pl',metasenv''' =
p'::pl, metasenv'
) pl ([],metasenv'')
in
- C.MutCase (sp, cookingsno, i, outty', t', pl'),metasenv'''
+ C.MutCase (sp, i, outty', t', pl'),metasenv'''
| C.Fix (i, fl) ->
let len = List.length fl in
let liftedfl,metasenv' =
| _,_ -> t'
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,outty,t,pl) ->
- C.MutCase (sp, cookingsno, i, um_aux outty, um_aux t,
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,um_aux 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,um_aux 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,um_aux t)) exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outty,t,pl) ->
+ C.MutCase (sp, i, um_aux outty, um_aux t,
List.map um_aux pl)
| C.Fix (i, fl) ->
let len = List.length fl in
(* metavariables may have been restricted. *)
let fo_unif metasenv context t1 t2 =
prerr_endline "INIZIO FASE 1" ; flush stderr ;
- let subst_to_unwind,metasenv' = fo_unif_new metasenv context t1 t2 in
+ let subst_to_unwind,metasenv' = fo_unif_subst [] context metasenv t1 t2 in
prerr_endline "FINE FASE 1" ; flush stderr ;
let res =
unwind_subst metasenv' subst_to_unwind