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International Conference on Formal Methods for Open Object-Based Distributed Systems

International Conference on Formal Techniques for Distributed Systems

FMOODS 2012, FORTE 2012: Formal Techniques for Distributed Systems pp 135–151Cite as

Modelling Probabilistic Wireless Networks

(Extended Abstract)

  • Conference paper

Part of the Lecture Notes in Computer Science book series (LNPSE,volume 7273)

Abstract

We propose a process calculus to model distributed wireless networks. The calculus focuses on high-level behaviour, emphasising local broadcast communication and probabilistic behaviour.

Our formulation of such systems emphasises their interfaces, through which their behaviour can be observed and tested, although this complicates their contextual analysis. Nevertheless we propose a novel operator with which networks can be decomposed into components. Using this operator we define probabilistic generalisations of the well-known may-testing and must-testing preorders.

We define an extensional probabilistic labelled transition system in which actions represent particular interactions networks support via their interfaces. We show that novel variations on probabilistic simulations support compositional reasoning for these networks which are sound with respect to the testing preorders. Finally, and rather surprisingly, we show that these simulations turn out not to be complete.

Keywords

  • Wireless Network
  • Composition Operator
  • Wireless System
  • Medium Access Control Protocol
  • Probabilistic Simulation

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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Author information

Authors and Affiliations

  1. Department of Statistics and Computer Science, Trinity College, Dublin, Ireland

    Andrea Cerone & Matthew Hennessy

Authors
  1. Andrea Cerone
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  2. Matthew Hennessy
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Editor information

Editors and Affiliations

  1. Hasso Plattner Institute at the University of Potsdam, Prof.-Dr.-Helmert-Straße 2-3, 14482, Potsdam, Germany

    Holger Giese

  2. Department of Computer Science, University of Illinois at Urbana-Champaign, 201 N. Goodwin, 61801, Urbana, IL, USA

    Grigore Rosu

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Cerone, A., Hennessy, M. (2012). Modelling Probabilistic Wireless Networks. In: Giese, H., Rosu, G. (eds) Formal Techniques for Distributed Systems. FMOODS FORTE 2012 2012. Lecture Notes in Computer Science, vol 7273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30793-5_9

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  • DOI: https://doi.org/10.1007/978-3-642-30793-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30792-8

  • Online ISBN: 978-3-642-30793-5

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