src/HOL/HOLCF/IOA/Storage/Spec.thy
author paulson <lp15@cam.ac.uk>
Fri, 04 Jul 2025 15:08:09 +0100
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(*  Title:      HOL/HOLCF/IOA/Storage/Spec.thy
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    Author:     Olaf Müller
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*)
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section \<open>The specification of a memory\<close>
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theory Spec
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imports IOA.IOA Action
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begin
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definition
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  spec_sig :: "action signature" where
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  "spec_sig = (\<Union>l.{Free l} \<union> {New},
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               \<Union>l.{Loc l},
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               {})"
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definition
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  spec_trans :: "(action, nat set \<times> bool)transition set" where
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  "spec_trans =
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   {tr. let s = fst(tr); used = fst s; c = snd s;
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            t = snd(snd(tr)); used' = fst t; c' = snd t
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        in
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        case fst(snd(tr))
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        of
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        New       \<Rightarrow> used' = used \<and> c'  |
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        Loc l     \<Rightarrow> c \<and> l \<notin> used \<and> used'= used \<union> {l} \<and> \<not>c'   |
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        Free l    \<Rightarrow> used'=used - {l} \<and> c'=c}"
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definition
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  spec_ioa :: "(action, nat set \<times> bool)ioa" where
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  "spec_ioa = (spec_sig, {({},False)}, spec_trans,{},{})"
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end