src/HOL/IOA/NTP/Sender.thy
changeset 1051 4fcd0638e61d
child 1151 c820b3cc3df0
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/IOA/NTP/Sender.thy	Thu Apr 13 16:57:18 1995 +0200
@@ -0,0 +1,85 @@
+(*  Title:      HOL/IOA/NTP/Sender.thy
+    ID:         $Id$
+    Author:     Tobias Nipkow & Konrad Slind
+    Copyright   1994  TU Muenchen
+
+The implementation: sender
+*)
+
+Sender = IOA + Action + Multiset + List +
+
+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"
+
+defs
+
+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_asig, {([],{|},{|},False,True)}, sender_trans)"
+
+end