Petri nets with simple circuits

  • Authors:
  • Hsu-Chun Yen;Lien-Po Yu

  • Affiliations:
  • Dept. of Electrical Eng., National Taiwan University, Taipei, Taiwan, R.O.C;Dept. of Electrical Eng., National Taiwan University, Taipei, Taiwan, R.O.C

  • Venue:
  • COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
  • Year:
  • 2003

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Abstract

We study the complexity of the reachability problem for a new subclass of Petri nets called simple-circuit Petri nets, which properly contains several well known subclasses such as conflict-free, BPP, normal Petri nets and more. A new decomposition approach is applied to developing an integer linear programming formulation for characterizing the reachability sets of such Petri nets. Consequently, the reachability problem is shown to be NP-complete. The model checking problem for some temporal logics is also investigated for simple-circuit Petri nets.