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(* Title: HOL/IOA/example/Channels.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 (faulty) transmission channels (both directions)
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*)
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Channels = IOA + Action + Multiset +
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consts
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srch_asig,
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rsch_asig :: "'m action signature"
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srch_trans :: "('m action, 'm packet multiset)transition set"
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rsch_trans :: "('m action, bool multiset)transition set"
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srch_ioa :: "('m action, 'm packet multiset)ioa"
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rsch_ioa :: "('m action, bool multiset)ioa"
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defs
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srch_asig_def "srch_asig == <UN pkt. {S_pkt(pkt)},
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UN pkt. {R_pkt(pkt)},
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{}>"
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rsch_asig_def "rsch_asig == <UN b. {S_ack(b)},
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UN b. {R_ack(b)},
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{}>"
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srch_trans_def "srch_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 S_msg(m) => False |
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R_msg(m) => False |
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S_pkt(pkt) => t = addm(s, pkt) |
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R_pkt(pkt) => count(s, pkt) ~= 0 & t = delm(s, pkt) |
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S_ack(b) => False |
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R_ack(b) => False |
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C_m_s => False |
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C_m_r => False |
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C_r_s => False |
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C_r_r(m) => False}"
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rsch_trans_def "rsch_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) => False |
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S_pkt(pkt) => False |
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R_pkt(pkt) => False |
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S_ack(b) => t = addm(s,b) |
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R_ack(b) => count(s,b) ~= 0 & t = delm(s,b) |
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C_m_s => False |
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C_m_r => False |
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C_r_s => False |
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C_r_r(m) => False}"
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srch_ioa_def "srch_ioa == <srch_asig, {{|}}, srch_trans>"
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rsch_ioa_def "rsch_ioa == <rsch_asig, {{|}}, rsch_trans>"
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end
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