(* Title: HOL/IOA/example/Spec.thy
ID: $Id$
Author: Olaf Müller
*)
header {* The specification of a memory *}
theory Spec
imports IOA Action
begin
definition
spec_sig :: "action signature" where
"spec_sig = (UN l.{Free l} Un {New},
UN l.{Loc l},
{})"
definition
spec_trans :: "(action, nat set * bool)transition set" where
"spec_trans =
{tr. let s = fst(tr); used = fst s; c = snd s;
t = snd(snd(tr)); used' = fst t; c' = snd t
in
case fst(snd(tr))
of
New => used' = used & c' |
Loc l => c & l~:used & used'= used Un {l} & ~c' |
Free l => used'=used - {l} & c'=c}"
definition
spec_ioa :: "(action, nat set * bool)ioa" where
"spec_ioa = (spec_sig, {({},False)}, spec_trans,{},{})"
end