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.2018.38
URN: urn:nbn:de:0030-drops-98277
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2018/9827/
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Newport, Calvin ; Robinson, Peter

Fault-Tolerant Consensus with an Abstract MAC Layer

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LIPIcs-DISC-2018-38.pdf (0.5 MB)

Abstract

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and communication guarantees provided by most wireless MAC layers. Our algorithms work for any number of failures, require no advance knowledge of the network participants or network size, and guarantee termination with high probability after a number of broadcasts that are polynomial in the network size. Our first algorithm satisfies the standard agreement property, while our second trades a faster termination guarantee in exchange for a looser agreement property in which most nodes agree on the same value. These are the first known fault-tolerant consensus algorithms for this model. In addition to our main upper bound results, we explore the gap between the abstract MAC layer and the standard asynchronous message passing model by proving fault-tolerant consensus is impossible in the latter in the absence of information regarding the network participants, even if we assume no faults, allow randomized solutions, and provide the algorithm a constant-factor approximation of the network size.

BibTeX - Entry

@InProceedings{newport_et_al:LIPIcs:2018:9827,
  author =	{Calvin Newport and Peter Robinson},
  title =	{{Fault-Tolerant Consensus with an Abstract MAC Layer}},
  booktitle =	{32nd International Symposium on Distributed Computing  (DISC 2018)},
  pages =	{38:1--38:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-092-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{121},
  editor =	{Ulrich Schmid and Josef Widder},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9827},
  URN =		{urn:nbn:de:0030-drops-98277},
  doi =		{10.4230/LIPIcs.DISC.2018.38},
  annote =	{Keywords: abstract MAC layer, wireless networks, consensus, fault tolerance}
}

Keywords: abstract MAC layer, wireless networks, consensus, fault tolerance
Collection: 32nd International Symposium on Distributed Computing (DISC 2018)
Issue Date: 2018
Date of publication: 04.10.2018

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