src/HOLCF/IOA/meta_theory/Asig.thy

HOL-Real -> HOL-Complex

(*  Title:      HOL/IOA/meta_theory/Asig.thy
    ID:         $Id$
    Author:     Olaf Müller, Tobias Nipkow & Konrad Slind
    License:    GPL (GNU GENERAL PUBLIC LICENSE)

Action signatures.
*)

Asig = Main +

types 

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

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


defs

asig_inputs_def    "inputs == fst"
asig_outputs_def   "outputs == (fst o snd)"
asig_internals_def "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))"

locals_def
   "locals asig == ((internals 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