src/HOL/IOA/NTP/Abschannel.thy

updated version

(*  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 + Multiset +
 
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