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Improving Static Variable Orders Via Invariants

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Petri Nets and Other Models of Concurrency – ICATPN 2007 (ICATPN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4546))

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Abstract

Choosing a good variable order is crucial for making symbolic state-space generation algorithms truly efficient. One such algorithm is the MDD-based Saturation algorithm for Petri nets implemented in , whose efficiency relies on exploiting event locality.

This paper presents a novel, static ordering heuristic that considers place invariants of Petri nets. In contrast to related work, we use the functional dependencies encoded by invariants to merge decision-diagram variables, rather than to eliminate them. We prove that merging variables always yields smaller MDDs and improves event locality, while eliminating variables may increase MDD sizes and break locality. Combining this idea of merging with heuristics for maximizing event locality, we obtain an algorithm for static variable order which outperforms competing approaches regarding both time-efficiency and memory-efficiency, as we demonstrate by extensive benchmarking.

Work supported in part by the National Science Foundation under grants CNS- 0501747 and CNS-0501748 and by the EPSRC under grant GR/S86211/01.

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Authors and Affiliations

  1. Dept. of Computer Science and Engineering, UC Riverside, CA 92521, USA

    Gianfranco Ciardo & Andy Jinqing Yu

  2. Dept. of Computer Science, University of York, York YO10 5DD, U.K.

    Gerald Lüttgen

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  1. Gianfranco Ciardo
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  2. Gerald Lüttgen
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  3. Andy Jinqing Yu
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Jetty Kleijn Alex Yakovlev

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Ciardo, G., Lüttgen, G., Yu, A.J. (2007). Improving Static Variable Orders Via Invariants. In: Kleijn, J., Yakovlev, A. (eds) Petri Nets and Other Models of Concurrency – ICATPN 2007. ICATPN 2007. Lecture Notes in Computer Science, vol 4546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73094-1_8

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  • DOI: https://doi.org/10.1007/978-3-540-73094-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73093-4

  • Online ISBN: 978-3-540-73094-1

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