Note: Finite and infinite implementation of transition systems

  • Authors:
  • Wim H. Hesselink;Gerard R. Renardel De Lavalette

  • Affiliations:
  • -;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

A system T is defined as implementing a system S if every infinite execution of T leads to the same observations as some infinite execution of S. System T implements S finitely if every finite execution of T leads to the same observations as some finite execution of S. It is proved that, under certain conditions on the implemented system, finite implementation implies implementation. The proof uses Konig's lemma. It is shown that the conditions are essential.