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+
+(* $Id$ *)
+
+(*s Compact representation of explicit relocations. \\
+ [ELSHFT(l,n)] == lift of [n], then apply [lift l].
+ [ELLFT(n,l)] == apply [l] to de Bruijn > [n] i.e under n binders. *)
+type lift =
+ | ELID
+ | ELSHFT of lift * int
+ | ELLFT of int * lift
+
+val el_shft : int -> lift -> lift
+val el_liftn : int -> lift -> lift
+val el_lift : lift -> lift
+val reloc_rel : int -> lift -> int
+val is_lift_id : lift -> bool
+
+(*s Explicit substitutions of type ['a]. [ESID n] = %n~END = bounded identity.
+ [CONS(t,S)] = $S.t$ i.e. parallel substitution. [SHIFT(n,S)] =
+ $(\uparrow n~o~S)$ i.e. terms in S are relocated with n vars.
+ [LIFT(n,S)] = $(\%n~S)$ stands for $((\uparrow n~o~S).n...1)$. *)
+type 'a subs =
+ | ESID of int
+ | CONS of 'a * 'a subs
+ | SHIFT of int * 'a subs
+ | LIFT of int * 'a subs
+
+val subs_cons: 'a * 'a subs -> 'a subs
+val subs_shft: int * 'a subs -> 'a subs
+val subs_lift: 'a subs -> 'a subs
+val subs_liftn: int -> 'a subs -> 'a subs
+val subs_shift_cons: int * 'a subs * 'a -> 'a subs
+val expand_rel: int -> 'a subs -> (int * 'a, int * int option) Util.union
+val is_subs_id: 'a subs -> bool