author | mueller |
Thu, 17 Jul 1997 12:44:58 +0200 | |
changeset 3523 | 23eae933c2d9 |
parent 3073 | 88366253a09a |
child 3852 | e694c660055b |
permissions | -rw-r--r-- |
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(* Title: HOL/IOA/NTP/Receiver.thy |
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ID: $Id$ |
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Author: Tobias Nipkow & Konrad Slind |
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Copyright 1994 TU Muenchen |
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The implementation: receiver |
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*) |
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Receiver = List + IOA + Action + |
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types |
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'm receiver_state |
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= "'m list * bool multiset * 'm packet multiset * bool * bool" |
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(* messages #replies #received header mode *) |
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consts |
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receiver_asig :: 'm action signature |
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receiver_trans:: ('m action, 'm receiver_state)transition set |
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receiver_ioa :: ('m action, 'm receiver_state)ioa |
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rq :: 'm receiver_state => 'm list |
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rsent :: 'm receiver_state => bool multiset |
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rrcvd :: 'm receiver_state => 'm packet multiset |
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rbit :: 'm receiver_state => bool |
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rsending :: 'm receiver_state => bool |
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defs |
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rq_def "rq == fst" |
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rsent_def "rsent == fst o snd" |
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rrcvd_def "rrcvd == fst o snd o snd" |
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rbit_def "rbit == fst o snd o snd o snd" |
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rsending_def "rsending == snd o snd o snd o snd" |
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receiver_asig_def "receiver_asig == |
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(UN pkt. {R_pkt(pkt)}, |
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(UN m. {R_msg(m)}) Un (UN b. {S_ack(b)}), |
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insert C_m_r (UN m. {C_r_r(m)}))" |
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receiver_trans_def "receiver_trans == |
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{tr. let s = fst(tr); |
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t = snd(snd(tr)) |
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in |
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case fst(snd(tr)) |
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of |
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S_msg(m) => False | |
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R_msg(m) => rq(s) = (m # rq(t)) & |
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rsent(t)=rsent(s) & |
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rrcvd(t)=rrcvd(s) & |
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rbit(t)=rbit(s) & |
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rsending(t)=rsending(s) | |
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S_pkt(pkt) => False | |
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R_pkt(pkt) => rq(t) = rq(s) & |
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rsent(t) = rsent(s) & |
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rrcvd(t) = addm (rrcvd s) pkt & |
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rbit(t) = rbit(s) & |
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rsending(t) = rsending(s) | |
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S_ack(b) => b = rbit(s) & |
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rq(t) = rq(s) & |
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rsent(t) = addm (rsent s) (rbit s) & |
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rrcvd(t) = rrcvd(s) & |
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rbit(t)=rbit(s) & |
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rsending(s) & |
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rsending(t) | |
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R_ack(b) => False | |
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C_m_s => False | |
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C_m_r => count (rsent s) (~rbit s) < countm (rrcvd s) (%y.hdr(y)=rbit(s)) & |
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rq(t) = rq(s) & |
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rsent(t)=rsent(s) & |
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rrcvd(t)=rrcvd(s) & |
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rbit(t)=rbit(s) & |
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rsending(s) & |
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~rsending(t) | |
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C_r_s => False | |
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C_r_r(m) => count (rsent s) (rbit s) <= countm (rrcvd s) (%y.hdr(y)=rbit(s)) & |
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count (rsent s) (~rbit s) < count (rrcvd s) (rbit(s),m) & |
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rq(t) = rq(s)@[m] & |
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rsent(t)=rsent(s) & |
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rrcvd(t)=rrcvd(s) & |
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rbit(t) = (~rbit(s)) & |
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~rsending(s) & |
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rsending(t)}" |
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receiver_ioa_def "receiver_ioa == |
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(receiver_asig, {([],{|},{|},False,False)}, receiver_trans,{},{})" |
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end |