Definition aiis_host (net : network) : Prop :=
      exists h e,
        correct_entry client id i e /\
        In e (log (nwState net h)).

(* Specifications: *)
Lemma name_dec : forall (P : name -> Prop) (P_dec : forall x, {P x} + {~P x}), {exists x, P x} + {~ exists x, P x}.