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(* Title: HOL/IOA/meta_theory/Asig.thy
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ID: $Id$
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3275
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Author: Olaf Mueller, Tobias Nipkow & Konrad Slind
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Copyright 1994, 1996 TU Muenchen
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3071
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Action signatures
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*)
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Asig = Arith +
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types
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'a signature = "('a set * 'a set * 'a set)"
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consts
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actions,inputs,outputs,internals,externals
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::"'action signature => 'action set"
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is_asig ::"'action signature => bool"
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mk_ext_asig ::"'action signature => 'action signature"
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defs
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asig_inputs_def "inputs == fst"
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asig_outputs_def "outputs == (fst o snd)"
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asig_internals_def "internals == (snd o snd)"
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actions_def
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"actions(asig) == (inputs(asig) Un outputs(asig) Un internals(asig))"
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externals_def
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"externals(asig) == (inputs(asig) Un outputs(asig))"
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is_asig_def
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"is_asig(triple) ==
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((inputs(triple) Int outputs(triple) = {}) &
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(outputs(triple) Int internals(triple) = {}) &
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(inputs(triple) Int internals(triple) = {}))"
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mk_ext_asig_def
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"mk_ext_asig(triple) == (inputs(triple), outputs(triple), {})"
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end
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