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Good-Case Early-Stopping Latency of Synchronous Byzantine Reliable Broadcast: The Deterministic Case

Authors Timothé Albouy, Davide Frey, Michel Raynal, François Taïani

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Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Reliable Broadcast
  • Byzantine Faults
  • Synchronous Systems
  • Good-case latency
  • Deterministic Algorithms

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Abstract

This paper considers the good-case latency of Byzantine Reliable Broadcast (BRB), i.e., the time taken by correct processes to deliver a message when the initial sender is correct, and an essential property for practical distributed systems. Although significant strides have been made in recent years on this question, progress has mainly focused on either asynchronous or randomized algorithms. By contrast, the good-case latency of deterministic synchronous BRB under a majority of Byzantine faults has been little studied. In particular, it was not known whether a good-case latency below the worst-case bound of t+1 rounds could be obtained under a Byzantine majority. In this work, we answer this open question positively and propose a deterministic synchronous Byzantine reliable broadcast that achieves a good-case latency of max(2,t+3-c) rounds, where t is the upper bound on the number of Byzantine processes, and c the number of effectively correct processes.

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Timothé Albouy, Davide Frey, Michel Raynal, and François Taïani. Good-Case Early-Stopping Latency of Synchronous Byzantine Reliable Broadcast: The Deterministic Case. In 36th International Symposium on Distributed Computing (DISC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 246, pp. 4:1-4:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.DISC.2022.4

Author Details

Timothé Albouy
  • Univ Rennes, Inria, CNRS, IRISA, France
Davide Frey
  • Univ Rennes, Inria, CNRS, IRISA, France
Michel Raynal
  • Univ Rennes, Inria, CNRS, IRISA, France
François Taïani
  • Univ Rennes, Inria, CNRS, IRISA, France

Funding

This work was partially supported by the French ANR project ByBLoS (ANR-20-CE25-0002-01), and by the PriCLeSS project granted by the Labex CominLabs excellence laboratory of the French ANR (ANR-10-LABX-07-01).

Acknowledgements

The authors would like to thank the anonymous reviewers whose careful reading and suggestions helped them improve their paper.

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