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Brief Announcement: Simple Majority Consensus in Networks with Unreliable Communication

Authors Ariel Livshits , Yonatan Shadmi , Ran Tamir (Averbuch)

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ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Majority consensus
  • probabilistic message loss
  • distributed systems

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Abstract

In this work, we consider a synchronous model of n faultless agents, with a complete communication graph and messages that are lost with some constant probability q ∈ (0,1). In this model we show that there exists a protocol, called the Simple Majority Protocol, that solves consensus in 3 communication rounds with probability of agreement converging to 1 as n → ∞. We also prove that 3 communication rounds are necessary for the SMP to achieve consensus, with high probability.

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Ariel Livshits, Yonatan Shadmi, and Ran Tamir (Averbuch). Brief Announcement: Simple Majority Consensus in Networks with Unreliable Communication. In 35th International Symposium on Distributed Computing (DISC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 209, pp. 59:1-59:4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.DISC.2021.59

Author Details

Ariel Livshits
  • Technion - Israel Institute of Technology, Haifa, Israel
Yonatan Shadmi
  • Technion - Israel Institute of Technology, Haifa, Israel
Ran Tamir (Averbuch)
  • Technion - Israel Institute of Technology, Haifa, Israel

Acknowledgements

The authors thank Yoram Moses for his invaluable comments and suggestions.

References

  1. Marcos K Aguilera. Stumbling over consensus research: Misunderstandings and issues. In Replication, pages 59-72. Springer, 2010. Google Scholar
  2. Rachid Guerraoui, Michel Hurfinn, Achour Mostéfaoui, Riucarlos Oliveira, Michel Raynal, and André Schiper. Consensus in asynchronous distributed systems: A concise guided tour. In Advances in Distributed Systems, pages 33-47. Springer, 2000. Google Scholar
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  4. Eng Keong Lua, Jon Crowcroft, Marcelo Pias, Ravi Sharma, and Steven Lim. A survey and comparison of peer-to-peer overlay network schemes. IEEE Communications Surveys & Tutorials, 7(2):72-93, 2005. Google Scholar
  5. Nancy A Lynch. Distributed algorithms. Elsevier, 1996. Google Scholar
  6. Ran Tamir, Ariel Livshits, and Yonatan Shadmi. Simple majority consensus in networks with unreliable communication. arXiv preprint, 2021. URL: http://arxiv.org/abs/2104.04996.
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