diff -r f04b33ce250f -r a4dc62a46ee4 IOA/example/Impl.thy --- a/IOA/example/Impl.thy Tue Oct 24 14:59:17 1995 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,71 +0,0 @@ -(* Title: HOL/IOA/example/Impl.thy - ID: $Id$ - Author: Tobias Nipkow & Konrad Slind - Copyright 1994 TU Muenchen - -The implementation -*) - -Impl = Sender + Receiver + Channels + - -types - -'m impl_state -= "'m sender_state * 'm receiver_state * 'm packet multiset * bool multiset" -(* sender_state * receiver_state * srch_state * rsch_state *) - - -consts - impl_ioa :: "('m action, 'm impl_state)ioa" - sen :: "'m impl_state => 'm sender_state" - rec :: "'m impl_state => 'm receiver_state" - srch :: "'m impl_state => 'm packet multiset" - rsch :: "'m impl_state => bool multiset" - inv1, inv2, - inv3, inv4 :: "'m impl_state => bool" - hdr_sum :: "'m packet multiset => bool => nat" - -defs - - impl_def - "impl_ioa == (sender_ioa || receiver_ioa || srch_ioa || rsch_ioa)" - - sen_def "sen == fst" - rec_def "rec == fst o snd" - srch_def "srch == fst o snd o snd" - rsch_def "rsch == snd o snd o snd" - -hdr_sum_def - "hdr_sum(M,b) == countm(M,%pkt.hdr(pkt) = b)" - -(* Lemma 5.1 *) -inv1_def - "inv1(s) == - (!b. count(rsent(rec(s)),b) = count(srcvd(sen(s)),b) + count(rsch(s),b)) - & (!b. count(ssent(sen(s)),b) - = hdr_sum(rrcvd(rec(s)),b) + hdr_sum(srch(s),b))" - -(* Lemma 5.2 *) - inv2_def "inv2(s) == - (rbit(rec(s)) = sbit(sen(s)) & - ssending(sen(s)) & - count(rsent(rec(s)),~sbit(sen(s))) <= count(ssent(sen(s)),~sbit(sen(s))) & - count(ssent(sen(s)),~sbit(sen(s))) <= count(rsent(rec(s)),sbit(sen(s)))) - | - (rbit(rec(s)) = (~sbit(sen(s))) & - rsending(rec(s)) & - count(ssent(sen(s)),~sbit(sen(s))) <= count(rsent(rec(s)),sbit(sen(s))) & - count(rsent(rec(s)),sbit(sen(s))) <= count(ssent(sen(s)),sbit(sen(s))))" - -(* Lemma 5.3 *) - inv3_def "inv3(s) == - rbit(rec(s)) = sbit(sen(s)) - --> (!m. sq(sen(s))=[] | m ~= hd(sq(sen(s))) - --> count(rrcvd(rec(s)),) - + count(srch(s),) - <= count(rsent(rec(s)),~sbit(sen(s))))" - -(* Lemma 5.4 *) - inv4_def "inv4(s) == rbit(rec(s)) = (~sbit(sen(s))) --> sq(sen(s)) ~= []" - -end