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Transactions on Petri Nets and Other Models of Concurrency VI pp 146–168Cite as

Verifying Parallel Algorithms and Programs Using Coloured Petri Nets

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Part of the Lecture Notes in Computer Science book series (TOPNOC,volume 7400)

Abstract

Coloured Petri nets have proved to be a useful formalism for modeling distributed algorithms, i.e., algorithms where nodes communicate via message passing. Here we describe an approach for automatic extraction of models of parallel algorithms and programs, i.e., algorithms and programs where processes communicate via shared memory. The models can be verified for correctness, here to prove absence of mutual exclusion violations and to find dead- and live-locks. This makes it possible to verify software using a model-extraction approach using coloured Petri nets, where a formal model is extracted from runnable code. We extract models in a manner so we can also support a model-driven development approach, where code is generated from a model, enabling a combined approach, supporting extracting a model from an abstract description and generation of correct implementation code. We illustrate our idea by applying the technique to a parallel implementation of explicit state-space exploration.

Our approach builds on having a coloured Petri net model corresponding to the program and using the model to verify properties. We have already treated generation of code from coloured Petri nets, so in this paper we focus on the translation the other way around. We have an implementation of the translation from code to coloured Petri nets.

Keywords

  • Parallel Algorithm
  • Process Place
  • Dead State
  • Shared Place
  • Substitution Transition

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Eindhoven University of Technology, The Netherlands

    Michael Westergaard

Authors
  1. Michael Westergaard
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Editors and Affiliations

  1. Faculty of Science, Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, 8200, Aarhus N, Denmark

    Kurt Jensen

  2. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, NL-5600, Eindhoven, MB, The Netherland

    Wil M. van der Aalst

  3. Dipartimento di Elettronica e Telecomunicazioni, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Marco Ajmone Marsan

  4. Dipartimento di Informatica, Università del Piemonte Orientale ”Amedeo Avogadro”, Viale T. Michel 11, 15121, Alessandria, Italy

    Giuliana Franceschinis

  5. Leiden Institute of Advanced Computer Science, LIACS, P.O. Box 9512, 2300, Leiden, RA, The Netherlands

    Jetty Kleijn

  6. Department of Computer Engineering, Faculty of Engineering, Bergen University College, Nygaardsgaten 112, Postbox 7030, 5020, Bergen, Norway

    Lars Michael Kristensen

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Westergaard, M. (2012). Verifying Parallel Algorithms and Programs Using Coloured Petri Nets. In: Jensen, K., van der Aalst, W.M., Ajmone Marsan, M., Franceschinis, G., Kleijn, J., Kristensen, L.M. (eds) Transactions on Petri Nets and Other Models of Concurrency VI. Lecture Notes in Computer Science, vol 7400. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35179-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-35179-2_7

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