Definition rec_inc_trans (c : Config) (s1 s3 : Site) :=
  mkconfig (S (time c)) (dt c) (Inc_send_table (st c) owner) 
    (rt c) (Post_message dec (Collect_message (bm c) s1 owner) owner s3).

Lemma rinc_trans_st : forall s0 : Site, st (rec_inc_trans c0 s1 s2) s0 = (if eq_site_dec s0 owner then (st c0 s0 + 1)%Z else st c0 s0).