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m-Consensus Objects Are Pretty Powerful

Author Ammar Qadri

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  • Deterministic Consensus Hierarchy
  • Wait-free Implementation
  • Tournament

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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.

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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) https://doi.org/10.4230/LIPIcs.OPODIS.2016.27

Author Details

Ammar Qadri

References

  1. Yehuda Afek, Faith Ellen, and Eli Gafni. Deterministic objects: Life beyond consensus. In Proceedings of the 2016 ACM Symposium on Principles of Distributed Computing (PODC), pages 97-106, 2016. Google Scholar
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  4. Yehuda Afek, Eytan Weisberger, and Hanan Weisman. A completeness theorem for a class of synchronization objects. In Proceedings of the Twelfth Annual ACM Symposium on Principles of Distributed Computing (PODC), pages 159-170, 1993. Google Scholar
  5. Maurice Herlihy. Wait-free synchronization. ACM Trans. Program. Lang. Syst., 13(1):124-149, 1991. Google Scholar
  6. Ophir Rachman. Anomalies in the wait-free hierarchy. In Proceedings of the 8th International Workshop on Distributed Algorithms (WDAG), pages 156-163, 1994. Google Scholar
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