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m-Consensus Objects Are Pretty Powerful

Authors: Ammar Qadri

Published in: LIPIcs, Volume 70, 20th International Conference on Principles of Distributed Systems (OPODIS 2016)


Abstract
A recent paper by Afek, Ellen, and Gafni introduced a family of deterministic objects O_{m,k}, for m,k >= 2, with consensus numbers m such that, for each k >= 2, O_{m,k} is computationally less powerful than O_{m,k+1} in systems with at least mk+m+k processes. This paper gives a wait-free implementation of O_{m,k} from (m + 1)-consensus objects and registers in systems with any finite number of processes. In order to do so, it introduces a new family of objects which helps us to understand the power of m-consensus among more than m processes.

Cite as

Ammar Qadri. m-Consensus Objects Are Pretty Powerful. In 20th International Conference on Principles of Distributed Systems (OPODIS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 70, pp. 27:1-27:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{qadri:LIPIcs.OPODIS.2016.27,
  author =	{Qadri, Ammar},
  title =	{{m-Consensus Objects Are Pretty Powerful}},
  booktitle =	{20th International Conference on Principles of Distributed Systems (OPODIS 2016)},
  pages =	{27:1--27:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-031-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{70},
  editor =	{Fatourou, Panagiota and Jim\'{e}nez, Ernesto and Pedone, Fernando},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2016.27},
  URN =		{urn:nbn:de:0030-drops-70964},
  doi =		{10.4230/LIPIcs.OPODIS.2016.27},
  annote =	{Keywords: Deterministic Consensus Hierarchy, Wait-free Implementation, Tournament}
}
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