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Complexity Results for Elementary Hornets

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Application and Theory of Petri Nets and Concurrency (PETRI NETS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7927))

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Abstract

In this paper we study the complexity of Hornets, an algebraic extension of object nets. We define a restricted class: safe, elementary Hornets, to guarantee finite state spaces.

We have shown previously that the reachability problem for this class requires at least exponential space, which is a major increase when compared to safe, elementary object nets, which require polynomial space.

Here, we show how a safe, elementary Hornets can be simulated by a safe Eos, which establishes an upper bound for the complexity, since we know that that the reachability problem for safe Eos is PSpace-complete.

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Köhler-Bußmeier, M., Heitmann, F. (2013). Complexity Results for Elementary Hornets. In: Colom, JM., Desel, J. (eds) Application and Theory of Petri Nets and Concurrency. PETRI NETS 2013. Lecture Notes in Computer Science, vol 7927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38697-8_9

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  • DOI: https://doi.org/10.1007/978-3-642-38697-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38696-1

  • Online ISBN: 978-3-642-38697-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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