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Recoverable, Abortable, and Adaptive Mutual Exclusion with Sublogarithmic RMR Complexity

Authors Daniel Katzan, Adam Morrison

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LIPIcs.OPODIS.2020.15.pdf
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Author Details

Daniel Katzan
  • Tel Aviv University, Israel
Adam Morrison
  • Tel Aviv University, Israel

Funding

Israel Science Foundation (grant No. 2005/17) and Blavatnik ICRC at TAU.

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Daniel Katzan and Adam Morrison. Recoverable, Abortable, and Adaptive Mutual Exclusion with Sublogarithmic RMR Complexity. In 24th International Conference on Principles of Distributed Systems (OPODIS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 184, pp. 15:1-15:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/LIPIcs.OPODIS.2020.15

Abstract

We present the first recoverable mutual exclusion (RME) algorithm that is simultaneously abortable, adaptive to point contention, and with sublogarithmic RMR complexity. Our algorithm has O(min(K,log_W N)) RMR passage complexity and O(F + min(K,log_W N)) RMR super-passage complexity, where K is the number of concurrent processes (point contention), W is the size (in bits) of registers, and F is the number of crashes in a super-passage. Under the standard assumption that W = Θ(log N), these bounds translate to worst-case O((log N)/(log log N)) passage complexity and O(F + (log N)/(log log N)) super-passage complexity. Our key building blocks are: - A D-process abortable RME algorithm, for D ≤ W, with O(1) passage complexity and O(1+F) super-passage complexity. We obtain this algorithm by using the Fetch-And-Add (FAA) primitive, unlike prior work on RME that uses Fetch-And-Store (FAS/SWAP). - A generic transformation that transforms any abortable RME algorithm with passage complexity of B < W, into an abortable RME lock with passage complexity of O(min(K,B)).

Subject Classification

ACM Subject Classification
  • Theory of computation → Shared memory algorithms
Keywords
  • Mutual exclusion
  • recovery
  • non-volatile memory

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