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Reducing the Number of Messages in Self-stabilizing Protocols

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Stabilization, Safety, and Security of Distributed Systems (SSS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11914))

Abstract

Self-stabilizing algorithms recover from sever faults, such as inconsistent initialization. Traditionally, when designing a self-stabilizing message-passing algorithm, the main goal was to reduce the time until stabilization. The message cost was neglected. In this work, we strive to reduce the number of messages sent on the average per time period. As a tool, we present a stabilizing module that can message-efficiently determine when a task (from a wide family of tasks) is terminated. False positive detection is possible, but only when faults occurred. This module can then be used in the transformation of non self-stabilizing algorithms into self-stabilizing ones.

This study has been partially supported by the anr project Estate (ANR-16-CE25-0009).

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Notes

  1. 1.

    A proof labeling scheme has to be designed especially for \(\mathcal {A}\), and some changes to \(\mathcal {A}\) may be needed in order to generate the specific “label” for the proof labeling scheme.

  2. 2.

    A snap-stabilizing [7] algorithm is a self-stabilizing algorithm that recovers immediately after faults occurred.

  3. 3.

    Predicate \(Quiet(p)\) is defined in Sect. 2.

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Author information

Authors and Affiliations

  1. Sorbonne Université, CNRS, LIP6, 75005, Paris, France

    Anaïs Durand

  2. Technion - Israel Institute of Technology, Haifa, Israel

    Shay Kutten

Authors
  1. Anaïs Durand
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  2. Shay Kutten
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Corresponding author

Correspondence to Anaïs Durand .

Editor information

Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Mohsen Ghaffari

  2. Kent State University, Kent, OH, USA

    Mikhail Nesterenko

  3. Sorbonne University, Paris, France

    Sébastien Tixeuil

  4. CEA LIST, Gif-sur-Yvette, France

    Sara Tucci

  5. Kyushu University, Fukuoka, Japan

    Yukiko Yamauchi

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Durand, A., Kutten, S. (2019). Reducing the Number of Messages in Self-stabilizing Protocols. In: Ghaffari, M., Nesterenko, M., Tixeuil, S., Tucci, S., Yamauchi, Y. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2019. Lecture Notes in Computer Science(), vol 11914. Springer, Cham. https://doi.org/10.1007/978-3-030-34992-9_12

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  • DOI: https://doi.org/10.1007/978-3-030-34992-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34991-2

  • Online ISBN: 978-3-030-34992-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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