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Make Every Word Count: Adaptive Byzantine Agreement with Fewer Words

Authors Shir Cohen, Idit Keidar, Alexander Spiegelman

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Author Details

Shir Cohen
  • Technion, Haifa, Israel
Idit Keidar
  • Technion, Haifa, Israel
Alexander Spiegelman
  • Aptos, San Francisco, CA, USA

Funding

  • Cohen, Shir: Supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities.

Cite As Get BibTex

Shir Cohen, Idit Keidar, and Alexander Spiegelman. Make Every Word Count: Adaptive Byzantine Agreement with Fewer Words. In 26th International Conference on Principles of Distributed Systems (OPODIS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 253, pp. 18:1-18:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.OPODIS.2022.18

Abstract

Byzantine Agreement (BA) is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in practically common runs with fewer failures remained open. In this paper we present the first Byzantine Broadcast algorithm with O(n(f+1)) communication complexity in a model with resilience of n = 2t+1, where 0 ≤ f ≤ t is the actual number of process failures in a run. And for BA with strong unanimity, we present the first optimal-resilience algorithm that has linear communication complexity in the failure-free case and a quadratic cost otherwise.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Byzantine Agreement
  • Byzantine Broadcast
  • Adaptive communication

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References

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