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(* Title: HOL/HOLCF/IOA/Storage/Impl.thy
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Author: Olaf Müller
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*)
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header {* The implementation of a memory *}
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theory Impl
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imports IOA Action
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begin
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definition
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impl_sig :: "action signature" where
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"impl_sig = (UN l.{Free l} Un {New},
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UN l.{Loc l},
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{})"
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definition
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impl_trans :: "(action, nat * bool)transition set" where
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"impl_trans =
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{tr. let s = fst(tr); k = fst s; b = snd s;
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t = snd(snd(tr)); k' = fst t; b' = 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 => k' = k & b' |
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Loc l => b & l= k & k'= (Suc k) & ~b' |
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Free l => k'=k & b'=b}"
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definition
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impl_ioa :: "(action, nat * bool)ioa" where
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"impl_ioa = (impl_sig, {(0,False)}, impl_trans,{},{})"
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lemma in_impl_asig:
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"New : actions(impl_sig) &
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Loc l : actions(impl_sig) &
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Free l : actions(impl_sig) "
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by (simp add: impl_sig_def actions_def asig_projections)
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end
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