Conservative Elementary Object Systems

  • Authors:
  • Michael Köhler-Bußmeier;Frank Heitmann

  • Affiliations:
  • University of Hamburg, Department for Informatics, Vogt-Kölln-Straße 30, D-22527 Hamburg, koehler@informatik.uni-hamburg.de;University of Hamburg, Department for Informatics, Vogt-Kölln-Straße 30, D-22527 Hamburg, koehler@informatik.uni-hamburg.de

  • Venue:
  • Fundamenta Informaticae - Concurrency Specification and Programming CS&P
  • Year:
  • 2012

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Abstract

This contribution presents decidability results for the formalism of Elementary Object Systems EOS. Object nets are Petri nets which have Petri nets as tokens --an approach known as the nets-within-nets paradigm. In this paper we study the relationship of the reachability and the liveness problem. We prove that both problems are undecidable for EOS even for the subclass of conservative EOS while it is well known that both are decidable for classical p/t nets. Despite these undecidability results, boundedness can be decided for conservative EOS using a monotonicity argument similar to that for p/t nets.