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Complexity results for 1-safe nets

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Foundations of Software Technology and Theoretical Computer Science (FSTTCS 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 761))

Abstract

We study the complexity of several standard problems for 1-safe Petri nets and some of its subclasses. We prove that reachability, liveness, and deadlock are all PSPACE-complete for 1-safe nets. We also prove that deadlock is NP-complete for free-choice nets and for 1-safe free-choice nets. Finally, we prove that for arbitrary Petri nets, deadlock is equivalent to reachability and liveness.

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Author information

Authors and Affiliations

  1. Computer Science Dept., Aarhus University, Ny Munkegade, DK-8000, Århus C, Denmark

    Allan Cheng & Jens Palsberg

  2. Laboratory for Foundations of Computer Science, University of Edinburgh, The King's Buildings, EH9 3JZ, Edinburgh, UK

    Javier Esparza

Authors
  1. Allan Cheng
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  2. Javier Esparza
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  3. Jens Palsberg
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Editor information

Rudrapatna K. Shyamasundar

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© 1993 Springer-Verlag Berlin Heidelberg

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Cheng, A., Esparza, J., Palsberg, J. (1993). Complexity results for 1-safe nets. In: Shyamasundar, R.K. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1993. Lecture Notes in Computer Science, vol 761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57529-4_66

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  • DOI: https://doi.org/10.1007/3-540-57529-4_66

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57529-0

  • Online ISBN: 978-3-540-48211-6

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