|
6008
|
1 |
(* Title: HOL/IOA/example/Spec.thy
|
|
12218
|
2 |
Author: Olaf Müller
|
|
6008
|
3 |
*)
|
|
|
4 |
|
|
17244
|
5 |
header {* The specification of a memory *}
|
|
6008
|
6 |
|
|
17244
|
7 |
theory Spec
|
|
|
8 |
imports IOA Action
|
|
|
9 |
begin
|
|
6008
|
10 |
|
|
27361
|
11 |
definition
|
|
|
12 |
spec_sig :: "action signature" where
|
|
|
13 |
"spec_sig = (UN l.{Free l} Un {New},
|
|
|
14 |
UN l.{Loc l},
|
|
|
15 |
{})"
|
|
6008
|
16 |
|
|
27361
|
17 |
definition
|
|
|
18 |
spec_trans :: "(action, nat set * bool)transition set" where
|
|
|
19 |
"spec_trans =
|
|
|
20 |
{tr. let s = fst(tr); used = fst s; c = snd s;
|
|
|
21 |
t = snd(snd(tr)); used' = fst t; c' = snd t
|
|
|
22 |
in
|
|
|
23 |
case fst(snd(tr))
|
|
|
24 |
of
|
|
|
25 |
New => used' = used & c' |
|
|
|
26 |
Loc l => c & l~:used & used'= used Un {l} & ~c' |
|
|
|
27 |
Free l => used'=used - {l} & c'=c}"
|
|
6008
|
28 |
|
|
27361
|
29 |
definition
|
|
|
30 |
spec_ioa :: "(action, nat set * bool)ioa" where
|
|
|
31 |
"spec_ioa = (spec_sig, {({},False)}, spec_trans,{},{})"
|
|
17244
|
32 |
|
|
6008
|
33 |
end
|