(* Title: HOL/IOA/NTP/Abschannel.thy
ID: $Id$
Author: Olaf Müller
*)
header {* The (faulty) transmission channel (both directions) *}
theory Abschannel
imports IOA Action
begin
datatype 'a abs_action = S 'a | R 'a
consts
ch_asig :: "'a abs_action signature"
ch_trans :: "('a abs_action, 'a multiset)transition set"
ch_ioa :: "('a abs_action, 'a multiset)ioa"
rsch_actions :: "'m action => bool abs_action option"
srch_actions :: "'m action =>(bool * 'm) abs_action option"
srch_asig :: "'m action signature"
rsch_asig :: "'m action signature"
srch_wfair :: "('m action)set set"
srch_sfair :: "('m action)set set"
rsch_sfair :: "('m action)set set"
rsch_wfair :: "('m action)set set"
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_wfair_def: "srch_wfair == wfair_of(srch_ioa)"
rsch_wfair_def: "rsch_wfair == wfair_of(rsch_ioa)"
srch_sfair_def: "srch_sfair == sfair_of(srch_ioa)"
rsch_sfair_def: "rsch_sfair == sfair_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 (akt) ==
case akt 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 (akt) ==
case akt 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"
ML {* use_legacy_bindings (the_context ()) *}
end