(* Title: HOL/IOA/NTP/Abschannel.thy
ID: $Id$
Author: Tobias Nipkow and Olaf Mueller
Copyright 1994 TU Muenchen
The (faulty) transmission channel (both directions)
*)
Abschannel = IOA + Action +
datatype ('a)act = S('a) | R('a)
consts
ch_asig :: 'a act signature
ch_trans :: ('a act, 'a multiset)transition set
ch_ioa :: ('a act, 'a multiset)ioa
rsch_actions :: 'm action => bool act option
srch_actions :: "'m action =>(bool * 'm) act option"
srch_asig,
rsch_asig :: 'm action signature
srch_trans :: ('m action, 'm packet multiset)transition set
rsch_trans :: ('m action, bool multiset)transition set
srch_ioa :: ('m action, 'm packet multiset)ioa
rsch_ioa :: ('m action, bool multiset)ioa
defs
srch_asig_def "srch_asig == asig_of(srch_ioa)"
rsch_asig_def "rsch_asig == asig_of(rsch_ioa)"
srch_trans_def "srch_trans == trans_of(srch_ioa)"
rsch_trans_def "rsch_trans == trans_of(rsch_ioa)"
srch_ioa_def "srch_ioa == rename ch_ioa srch_actions"
rsch_ioa_def "rsch_ioa == rename ch_ioa rsch_actions"
ch_asig_def "ch_asig == (UN b. {S(b)}, UN b. {R(b)}, {})"
ch_trans_def "ch_trans ==
{tr. let s = fst(tr);
t = snd(snd(tr))
in
case fst(snd(tr))
of S(b) => t = addm s b |
R(b) => count s b ~= 0 & t = delm s b}"
ch_ioa_def "ch_ioa == (ch_asig, {{|}}, ch_trans)"
rsch_actions_def "rsch_actions (act) ==
case act of
S_msg(m) => None |
R_msg(m) => None |
S_pkt(packet) => None |
R_pkt(packet) => None |
S_ack(b) => Some(S(b)) |
R_ack(b) => Some(R(b)) |
C_m_s => None |
C_m_r => None |
C_r_s => None |
C_r_r(m) => None"
srch_actions_def "srch_actions (act) ==
case act of
S_msg(m) => None |
R_msg(m) => None |
S_pkt(p) => Some(S(p)) |
R_pkt(p) => Some(R(p)) |
S_ack(b) => None |
R_ack(b) => None |
C_m_s => None |
C_m_r => None |
C_r_s => None |
C_r_r(m) => None"
end