| author | wenzelm | 
| Mon, 09 Mar 2009 11:56:34 +0100 | |
| changeset 30381 | a59d792d0ccf | 
| parent 25131 | 2c8caac48ade | 
| child 35174 | e15040ae75d7 | 
| permissions | -rw-r--r-- | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
1  | 
(* Title: HOLCF/IOA/ABP/Sender.thy  | 
| 
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
2  | 
ID: $Id$  | 
| 12218 | 3  | 
Author: Olaf Müller  | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
4  | 
*)  | 
| 
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
5  | 
|
| 17244 | 6  | 
header {* The implementation: sender *}
 | 
7  | 
||
8  | 
theory Sender  | 
|
9  | 
imports IOA Action Lemmas  | 
|
10  | 
begin  | 
|
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
11  | 
|
| 
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
12  | 
types  | 
| 17244 | 13  | 
  'm sender_state = "'m list  *  bool"  -- {* messages, Alternating Bit *}
 | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
14  | 
|
| 
25131
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
15  | 
definition  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
16  | 
sq :: "'m sender_state => 'm list" where  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
17  | 
"sq = fst"  | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
18  | 
|
| 
25131
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
19  | 
definition  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
20  | 
sbit :: "'m sender_state => bool" where  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
21  | 
"sbit = snd"  | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
22  | 
|
| 
25131
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
23  | 
definition  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
24  | 
sender_asig :: "'m action signature" where  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
25  | 
  "sender_asig = ((UN m. {S_msg(m)}) Un (UN b. {R_ack(b)}),
 | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
26  | 
                   UN pkt. {S_pkt(pkt)},
 | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
27  | 
                   {})"
 | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
28  | 
|
| 
25131
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
29  | 
definition  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
30  | 
  sender_trans :: "('m action, 'm sender_state)transition set" where
 | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
31  | 
"sender_trans =  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
32  | 
   {tr. let s = fst(tr);
 | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
33  | 
t = snd(snd(tr))  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
34  | 
in case fst(snd(tr))  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
35  | 
of  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
36  | 
Next => if sq(s)=[] then t=s else False |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
37  | 
S_msg(m) => sq(t)=sq(s)@[m] &  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
38  | 
sbit(t)=sbit(s) |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
39  | 
R_msg(m) => False |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
40  | 
S_pkt(pkt) => sq(s) ~= [] &  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
41  | 
hdr(pkt) = sbit(s) &  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
42  | 
msg(pkt) = hd(sq(s)) &  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
43  | 
sq(t) = sq(s) &  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
44  | 
sbit(t) = sbit(s) |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
45  | 
R_pkt(pkt) => False |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
46  | 
S_ack(b) => False |  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
47  | 
R_ack(b) => if b = sbit(s) then  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
48  | 
sq(t)=tl(sq(s)) & sbit(t)=(~sbit(s)) else  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
49  | 
sq(t)=sq(s) & sbit(t)=sbit(s)}"  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
50  | 
|
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
51  | 
definition  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
52  | 
  sender_ioa :: "('m action, 'm sender_state)ioa" where
 | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
53  | 
"sender_ioa =  | 
| 
 
2c8caac48ade
modernized specifications ('definition', 'abbreviation', 'notation');
 
wenzelm 
parents: 
19738 
diff
changeset
 | 
54  | 
   (sender_asig, {([],True)}, sender_trans,{},{})"
 | 
| 
3072
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
55  | 
|
| 
 
a31419014be5
Old ABP files now running under the IOA meta theory based on HOLCF;
 
mueller 
parents:  
diff
changeset
 | 
56  | 
end  |