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On the Equivalence Between Liveness and Deadlock-Freeness in Petri Nets

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Applications and Theory of Petri Nets 2005 (ICATPN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3536))

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Abstract

This paper deals with the structure theory of Petri nets. We define the class of P/T systems namely K-systems for which the equivalence between controlled-siphon property (cs property), deadlock freeness, and liveness holds. Using the new structural notions of ordered transitions and root places, we revisit the non liveness characterization of P/T systems satisfying the cs property and we define by syntactical manner new and more expressive subclasses of K-systems where the interplay between conflict and synchronization is relaxed.

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© 2005 Springer-Verlag Berlin Heidelberg

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Barkaoui, K., Couvreur, JM., Klai, K. (2005). On the Equivalence Between Liveness and Deadlock-Freeness in Petri Nets. In: Ciardo, G., Darondeau, P. (eds) Applications and Theory of Petri Nets 2005. ICATPN 2005. Lecture Notes in Computer Science, vol 3536. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494744_7

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  • DOI: https://doi.org/10.1007/11494744_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26301-2

  • Online ISBN: 978-3-540-31559-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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