diff -r 722bf1319be5 -r fd1be45b64bf IOA/example/Sender.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/IOA/example/Sender.thy Wed Nov 02 11:50:09 1994 +0100 @@ -0,0 +1,77 @@ +Sender = IOA + Action + Multiset + List + "Lemmas" + + +types + +'m sender_state = "'m list * bool multiset * bool multiset * bool * bool" +(* messages #sent #received header mode *) + +consts + +sender_asig :: "'m action signature" +sender_trans :: "('m action, 'm sender_state)transition set" +sender_ioa :: "('m action, 'm sender_state)ioa" +sq :: "'m sender_state => 'm list" +ssent,srcvd :: "'m sender_state => bool multiset" +sbit :: "'m sender_state => bool" +ssending :: "'m sender_state => bool" + +rules + +sq_def "sq == fst" +ssent_def "ssent == fst o snd" +srcvd_def "srcvd == fst o snd o snd" +sbit_def "sbit == fst o snd o snd o snd" +ssending_def "ssending == snd o snd o snd o snd" + +sender_asig_def + "sender_asig == <(UN m. {S_msg(m)}) Un (UN b. {R_ack(b)}), \ +\ UN pkt. {S_pkt(pkt)}, \ +\ {C_m_s,C_r_s}>" + +sender_trans_def "sender_trans == \ +\ {tr. let s = fst(tr); \ +\ t = snd(snd(tr)) \ +\ in case fst(snd(tr)) \ +\ of \ +\ S_msg(m) => sq(t)=sq(s)@[m] & \ +\ ssent(t)=ssent(s) & \ +\ srcvd(t)=srcvd(s) & \ +\ sbit(t)=sbit(s) & \ +\ ssending(t)=ssending(s) | \ +\ R_msg(m) => False | \ +\ S_pkt(pkt) => hdr(pkt) = sbit(s) & \ +\ (? Q. sq(s) = (msg(pkt)#Q)) & \ +\ sq(t) = sq(s) & \ +\ ssent(t) = addm(ssent(s),sbit(s)) & \ +\ srcvd(t) = srcvd(s) & \ +\ sbit(t) = sbit(s) & \ +\ ssending(s) & \ +\ ssending(t) | \ +\ R_pkt(pkt) => False | \ +\ S_ack(b) => False | \ +\ R_ack(b) => sq(t)=sq(s) & \ +\ ssent(t)=ssent(s) & \ +\ srcvd(t) = addm(srcvd(s),b) & \ +\ sbit(t)=sbit(s) & \ +\ ssending(t)=ssending(s) | \ +\ C_m_s => count(ssent(s),~sbit(s)) < count(srcvd(s),~sbit(s)) & \ +\ sq(t)=sq(s) & \ +\ ssent(t)=ssent(s) & \ +\ srcvd(t)=srcvd(s) & \ +\ sbit(t)=sbit(s) & \ +\ ssending(s) & \ +\ ~ssending(t) | \ +\ C_m_r => False | \ +\ C_r_s => count(ssent(s),sbit(s)) <= count(srcvd(s),~sbit(s)) & \ +\ sq(t)=tl(sq(s)) & \ +\ ssent(t)=ssent(s) & \ +\ srcvd(t)=srcvd(s) & \ +\ sbit(t) = (~sbit(s)) & \ +\ ~ssending(s) & \ +\ ssending(t) | \ +\ C_r_r(m) => False}" + +sender_ioa_def "sender_ioa == \ +\ }, sender_trans>" + +end