License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.DISC.2020.48
URN: urn:nbn:de:0030-drops-131267
URL: https://drops.dagstuhl.de/opus/volltexte/2020/13126/
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Hirt, Martin ; Kastrati, Ard ; Liu-Zhang, Chen-Da

Brief Announcement: Multi-Threshold Asynchronous Reliable Broadcast and Consensus

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LIPIcs-DISC-2020-48.pdf (0.3 MB)

Abstract

Classical protocols for reliable broadcast and consensus provide security guarantees as long as the number of corrupted parties f is bounded by a single given threshold t. If f > t, these protocols are completely deemed insecure. We consider the relaxed notion of multi-threshold reliable broadcast and consensus where validity, consistency and termination are guaranteed as long as f ≤ t_v, f ≤ t_c and f ≤ t_t respectively. For consensus, we consider both variants of (1-ε)-consensus and almost-surely terminating consensus, where termination is guaranteed with probability (1-ε) and 1, respectively. We give a very complete characterization for these primitives in the asynchronous setting and with no signatures:
- Multi-threshold reliable broadcast is possible if and only if max{t_c,t_v} + 2t_t < n.
- Multi-threshold almost-surely consensus is possible if max{t_c, t_v} + 2t_t < n, 2t_v + t_t < n and t_t < n/3. Assuming a global coin, it is possible if and only if max{t_c, t_v} + 2t_t < n and 2t_v + t_t < n.
- Multi-threshold (1-ε)-consensus is possible if and only if max{t_c, t_v} + 2t_t < n and 2t_v + t_t < n.

BibTeX - Entry

@InProceedings{hirt_et_al:LIPIcs:2020:13126,
  author =	{Martin Hirt and Ard Kastrati and Chen-Da Liu-Zhang},
  title =	{{Brief Announcement: Multi-Threshold Asynchronous Reliable Broadcast and Consensus}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{48:1--48:3},
  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/2020/13126},
  URN =		{urn:nbn:de:0030-drops-131267},
  doi =		{10.4230/LIPIcs.DISC.2020.48},
  annote =	{Keywords: broadcast, byzantine agreement, multi-threshold}
}

Keywords: broadcast, byzantine agreement, multi-threshold
Collection: 34th International Symposium on Distributed Computing (DISC 2020)
Issue Date: 2020
Date of publication: 07.10.2020

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