Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Cohen, Shir; Keidar, Idit; Spiegelman, Alexander https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-131034
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Not a COINcidence: Sub-Quadratic Asynchronous Byzantine Agreement WHP

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Abstract

King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous model and then with eventual-synchrony). Yet the question of asynchronous sub-quadratic Byzantine Agreement remained open. To the best of our knowledge, we are the first to answer this question in the affirmative. A key component of our solution is a shared coin algorithm based on a VRF. A second essential ingredient is VRF-based committee sampling, which we formalize and utilize in the asynchronous model for the first time. Our algorithms work against a delayed-adaptive adversary, which cannot perform after-the-fact removals but has full control of Byzantine processes and full information about communication in earlier rounds. Using committee sampling and our shared coin, we solve Byzantine Agreement with high probability, with a word complexity of Õ(n) and O(1) expected time, breaking the O(n²) bit barrier for asynchronous Byzantine Agreement.

BibTeX - Entry

@InProceedings{cohen_et_al:LIPIcs:2020:13103,
  author =	{Shir Cohen and Idit Keidar and Alexander Spiegelman},
  title =	{{Not a COINcidence: Sub-Quadratic Asynchronous Byzantine Agreement WHP}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{25:1--25:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-168-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{179},
  editor =	{Hagit Attiya},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/13103},
  URN =		{urn:nbn:de:0030-drops-131034},
  doi =		{10.4230/LIPIcs.DISC.2020.25},
  annote =	{Keywords: shared coin, Byzantine Agreement, VRF, sub-quadratic consensus protocol}
}

Keywords: shared coin, Byzantine Agreement, VRF, sub-quadratic consensus protocol
Seminar: 34th International Symposium on Distributed Computing (DISC 2020)
Issue date: 2020
Date of publication: 07.10.2020


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