3807
|
1 |
(*
|
|
2 |
File: RPC.ML
|
|
3 |
Author: Stephan Merz
|
|
4 |
Copyright: 1997 University of Munich
|
|
5 |
|
6255
|
6 |
RPC-Memory example: RPC specification (theorems and proofs)
|
3807
|
7 |
*)
|
|
8 |
|
6255
|
9 |
val RPC_action_defs = [RPCInit_def, RPCFwd_def, RPCReject_def, RPCFail_def,
|
|
10 |
RPCReply_def, RPCNext_def];
|
3807
|
11 |
|
|
12 |
val RPC_temp_defs = [RPCIPSpec_def, RPCISpec_def];
|
|
13 |
|
6255
|
14 |
val mem_css = (claset(), simpset());
|
|
15 |
|
3807
|
16 |
(* The RPC component engages in an action for process p only if there is an outstanding,
|
|
17 |
unanswered call for that process.
|
|
18 |
*)
|
|
19 |
|
|
20 |
qed_goal "RPCidle" RPC.thy
|
6255
|
21 |
"|- ~$(Calling send p) --> ~RPCNext send rcv rst p"
|
|
22 |
(fn _ => [ auto_tac (mem_css addsimps2 (Return_def::RPC_action_defs)) ]);
|
3807
|
23 |
|
|
24 |
qed_goal "RPCbusy" RPC.thy
|
6255
|
25 |
"|- $(Calling rcv p) & $(rst!p) = #rpcB --> ~RPCNext send rcv rst p"
|
|
26 |
(fn _ => [ auto_tac (mem_css addsimps2 RPC_action_defs) ]);
|
3807
|
27 |
|
|
28 |
(* RPC failure actions are visible. *)
|
|
29 |
qed_goal "RPCFail_vis" RPC.thy
|
6255
|
30 |
"|- RPCFail send rcv rst p --> \
|
|
31 |
\ <RPCNext send rcv rst p>_(rst!p, rtrner send!p, caller rcv!p)"
|
|
32 |
(fn _ => [auto_tac (claset() addSDs [Return_changed],
|
4089
|
33 |
simpset() addsimps [angle_def,RPCNext_def,RPCFail_def])
|
3807
|
34 |
]);
|
|
35 |
|
|
36 |
qed_goal "RPCFail_Next_enabled" RPC.thy
|
6255
|
37 |
"|- Enabled (RPCFail send rcv rst p) --> \
|
|
38 |
\ Enabled (<RPCNext send rcv rst p>_(rst!p, rtrner send!p, caller rcv!p))"
|
|
39 |
(fn _ => [force_tac (mem_css addSEs2 [enabled_mono,RPCFail_vis]) 1]);
|
3807
|
40 |
|
|
41 |
(* Enabledness of some actions *)
|
|
42 |
|
|
43 |
qed_goal "RPCFail_enabled" RPC.thy
|
6255
|
44 |
"!!p. basevars (rtrner send!p, caller rcv!p, rst!p) ==> \
|
|
45 |
\ |- ~Calling rcv p & Calling send p --> Enabled (RPCFail send rcv rst p)"
|
4089
|
46 |
(fn _ => [action_simp_tac (simpset() addsimps [RPCFail_def,Return_def,caller_def,rtrner_def])
|
7881
|
47 |
[exI] [base_enabled,Pair_inject] 1
|
3807
|
48 |
]);
|
|
49 |
|
|
50 |
qed_goal "RPCReply_enabled" RPC.thy
|
6255
|
51 |
"!!p. basevars (rtrner send!p, caller rcv!p, rst!p) ==> \
|
|
52 |
\ |- ~Calling rcv p & Calling send p & rst!p = #rpcB \
|
|
53 |
\ --> Enabled (RPCReply send rcv rst p)"
|
4089
|
54 |
(fn _ => [action_simp_tac (simpset() addsimps [RPCReply_def,Return_def,caller_def,rtrner_def])
|
7881
|
55 |
[exI] [base_enabled,Pair_inject] 1]);
|
3807
|
56 |
|