author | wenzelm |
Sat, 03 Sep 2005 16:50:22 +0200 | |
changeset 17244 | 0b2ff9541727 |
parent 14981 | e73f8140af78 |
child 19739 | c58ef2aa5430 |
permissions | -rw-r--r-- |
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(* Title: HOL/IOA/NTP/Sender.thy |
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ID: $Id$ |
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Author: Tobias Nipkow & Konrad Slind |
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*) |
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header {* The implementation: sender *} |
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theory Sender |
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imports IOA Action |
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begin |
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types |
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'm sender_state = "'m list * bool multiset * bool multiset * bool * bool" |
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(* messages #sent #received header mode *) |
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consts |
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sender_asig :: "'m action signature" |
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sender_trans :: "('m action, 'm sender_state)transition set" |
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sender_ioa :: "('m action, 'm sender_state)ioa" |
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sq :: "'m sender_state => 'm list" |
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ssent :: "'m sender_state => bool multiset" |
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srcvd :: "'m sender_state => bool multiset" |
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sbit :: "'m sender_state => bool" |
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ssending :: "'m sender_state => bool" |
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defs |
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sq_def: "sq == fst" |
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ssent_def: "ssent == fst o snd" |
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srcvd_def: "srcvd == fst o snd o snd" |
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sbit_def: "sbit == fst o snd o snd o snd" |
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ssending_def: "ssending == snd o snd o snd o snd" |
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sender_asig_def: |
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"sender_asig == ((UN m. {S_msg(m)}) Un (UN b. {R_ack(b)}), |
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UN pkt. {S_pkt(pkt)}, |
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{C_m_s,C_r_s})" |
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sender_trans_def: "sender_trans == |
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{tr. let s = fst(tr); |
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t = snd(snd(tr)) |
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in case fst(snd(tr)) |
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of |
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S_msg(m) => sq(t)=sq(s)@[m] & |
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ssent(t)=ssent(s) & |
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srcvd(t)=srcvd(s) & |
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sbit(t)=sbit(s) & |
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ssending(t)=ssending(s) | |
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R_msg(m) => False | |
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S_pkt(pkt) => hdr(pkt) = sbit(s) & |
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(? Q. sq(s) = (msg(pkt)#Q)) & |
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sq(t) = sq(s) & |
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ssent(t) = addm (ssent s) (sbit s) & |
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srcvd(t) = srcvd(s) & |
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sbit(t) = sbit(s) & |
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ssending(s) & |
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ssending(t) | |
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R_pkt(pkt) => False | |
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S_ack(b) => False | |
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R_ack(b) => sq(t)=sq(s) & |
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ssent(t)=ssent(s) & |
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srcvd(t) = addm (srcvd s) b & |
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sbit(t)=sbit(s) & |
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ssending(t)=ssending(s) | |
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C_m_s => count (ssent s) (~sbit s) < count (srcvd s) (~sbit s) & |
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sq(t)=sq(s) & |
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ssent(t)=ssent(s) & |
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srcvd(t)=srcvd(s) & |
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sbit(t)=sbit(s) & |
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ssending(s) & |
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~ssending(t) | |
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C_m_r => False | |
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C_r_s => count (ssent s) (sbit s) <= count (srcvd s) (~sbit s) & |
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sq(t)=tl(sq(s)) & |
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ssent(t)=ssent(s) & |
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srcvd(t)=srcvd(s) & |
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sbit(t) = (~sbit(s)) & |
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~ssending(s) & |
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ssending(t) | |
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C_r_r(m) => False}" |
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sender_ioa_def: "sender_ioa == |
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(sender_asig, {([],{|},{|},False,True)}, sender_trans,{},{})" |
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ML {* use_legacy_bindings (the_context ()) *} |
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end |