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Gradient-Based Variable Ordering of Decision Diagrams for Systems with Structural Units

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Automated Technology for Verification and Analysis (ATVA 2017)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10482))

Abstract

This paper presents Gradient-\(\varPi \), a novel heuristics for finding the variable ordering of Decision Diagrams encoding the state space of Petri net systems. Gradient-\(\varPi \) combines the structural informations of the Petri net (either the set of minimal P-semiflows or, when available, the structure of the net in terms of “Nested Units”) with a gradient-based greedy strategy inspired by methods for matrix bandwidth reduction. The value of the proposed heuristics is assessed on a public benchmark of Petri net models, showing that Gradient-\(\varPi \) can successfully exploit the structural information to produce good variable orderings.

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Notes

  1. 1.

    Model details can be found in http://mcc.lip6.fr/pdf/SwimmingPool-form.pdf.

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Authors and Affiliations

  1. Dipartimento di Informatica, Università di Torino, Turin, Italy

    Elvio Gilberto Amparore, Marco Beccuti & Susanna Donatelli

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  1. Elvio Gilberto Amparore
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  2. Marco Beccuti
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  3. Susanna Donatelli
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Correspondence to Elvio Gilberto Amparore .

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Editors and Affiliations

  1. Indian Institute of Science, Bangalore, India

    Deepak D'Souza

  2. Chennai Mathematical Institute, Kelambakkam, India

    K. Narayan Kumar

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Amparore, E.G., Beccuti, M., Donatelli, S. (2017). Gradient-Based Variable Ordering of Decision Diagrams for Systems with Structural Units. In: D'Souza, D., Narayan Kumar, K. (eds) Automated Technology for Verification and Analysis. ATVA 2017. Lecture Notes in Computer Science(), vol 10482. Springer, Cham. https://doi.org/10.1007/978-3-319-68167-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-68167-2_13

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