(* Title: HOL/IOA/ABP/Receiver.thy
ID: $Id$
Author: Tobias Nipkow & Olaf Mueller
Copyright 1995 TU Muenchen
The implementation: receiver
*)
Receiver = List + IOA + Action + Lemmas +
types
'm receiver_state
= "'m list * bool"
(* messages mode *)
consts
receiver_asig :: "'m action signature"
receiver_trans:: "('m action, 'm receiver_state)transition set"
receiver_ioa :: "('m action, 'm receiver_state)ioa"
rq :: "'m receiver_state => 'm list"
rbit :: "'m receiver_state => bool"
defs
rq_def "rq == fst"
rbit_def "rbit == snd"
receiver_asig_def "receiver_asig == \
\ (UN pkt. {R_pkt(pkt)}, \
\ (UN m. {R_msg(m)}) Un (UN b. {S_ack(b)}), \
\ {})"
receiver_trans_def "receiver_trans == \
\ {tr. let s = fst(tr); \
\ t = snd(snd(tr)) \
\ in \
\ case fst(snd(tr)) \
\ of \
\ Next => False | \
\ S_msg(m) => False | \
\ R_msg(m) => (rq(s) ~= []) & \
\ m = hd(rq(s)) & \
\ rq(t) = tl(rq(s)) & \
\ rbit(t)=rbit(s) | \
\ S_pkt(pkt) => False | \
\ R_pkt(pkt) => if (hdr(pkt) ~= rbit(s))&rq(s)=[] then \
\ rq(t) = (rq(s)@[msg(pkt)]) &rbit(t) = (~rbit(s)) else \
\ rq(t) =rq(s) & rbit(t)=rbit(s) | \
\ S_ack(b) => b = rbit(s) & \
\ rq(t) = rq(s) & \
\ rbit(t)=rbit(s) | \
\ R_ack(b) => False}"
receiver_ioa_def "receiver_ioa == \
\ (receiver_asig, {([],False)}, receiver_trans)"
end