m-Consensus Objects Are Pretty Powerful

Author Ammar Qadri

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Ammar Qadri

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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)


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.
  • Deterministic Consensus Hierarchy
  • Wait-free Implementation
  • Tournament


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