IOA/meta_theory/Asig.thy

added IOA to isabelle/HOL

Asig = Option +

types 

'a signature = "('a set * 'a set * 'a set)"

consts
  actions,inputs,outputs,internals,externals
                ::"'action signature => 'action set"
  is_asig       ::"'action signature => bool"
  mk_ext_asig   ::"'action signature => 'action signature"


rules

asig_projections_def
   "inputs = fst  & outputs = (fst o snd)  & internals = (snd o snd)"

actions_def
   "actions(asig) == (inputs(asig) Un outputs(asig) Un internals(asig))"

externals_def
   "externals(asig) == (inputs(asig) Un outputs(asig))"

is_asig_def
  "is_asig(triple) ==            \
   \  ((inputs(triple) Int outputs(triple) = {})    & \
   \   (outputs(triple) Int internals(triple) = {}) & \
   \   (inputs(triple) Int internals(triple) = {}))"


mk_ext_asig_def
  "mk_ext_asig(triple) == <inputs(triple), outputs(triple), {}>"


end