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Reducing k-Safe Petri Nets to Pomset-Equivalent 1-Safe Petri Nets

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Book cover Application and Theory of Petri Nets 2000 (ICATPN 2000)

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Abstract

It is a well-known fact that for every k-safe Petri net, i.e. a Petri net in which no place contains more than k ∈ ℕ tokens under any reachable marking, there is a 1-safe Petri net with the same interleaving behaviour. Indeed these types of Petri nets generate regular languages. In this paper, we show that this equivalence of k-safe and 1-safe Petri nets holds also for their pomset languages, a true-concurrency semantics.

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© 2000 Springer-Verlag Berlin Heidelberg

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Best, E., Wimmel, H. (2000). Reducing k-Safe Petri Nets to Pomset-Equivalent 1-Safe Petri Nets. In: Nielsen, M., Simpson, D. (eds) Application and Theory of Petri Nets 2000. ICATPN 2000. Lecture Notes in Computer Science, vol 1825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44988-4_6

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  • DOI: https://doi.org/10.1007/3-540-44988-4_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67693-5

  • Online ISBN: 978-3-540-44988-1

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