--- 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)),<sbit(sen(s)),m>)
- + count(srch(s),<sbit(sen(s)),m>)
- <= count(rsent(rec(s)),~sbit(sen(s))))"
-
-(* Lemma 5.4 *)
- inv4_def "inv4(s) == rbit(rec(s)) = (~sbit(sen(s))) --> sq(sen(s)) ~= []"
-
-end