License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.OPODIS.2020.15
URN: urn:nbn:de:0030-drops-135004
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Katzan, Daniel ; Morrison, Adam

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

LIPIcs-OPODIS-2020-15.pdf (0.5 MB)


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)).

BibTeX - Entry

  author =	{Daniel Katzan and Adam Morrison},
  title =	{{Recoverable, Abortable, and Adaptive Mutual Exclusion with Sublogarithmic RMR Complexity}},
  booktitle =	{24th International Conference on Principles of Distributed Systems (OPODIS 2020)},
  pages =	{15:1--15:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-176-4},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{184},
  editor =	{Quentin Bramas and Rotem Oshman and Paolo Romano},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-135004},
  doi =		{10.4230/LIPIcs.OPODIS.2020.15},
  annote =	{Keywords: Mutual exclusion, recovery, non-volatile memory}

Keywords: Mutual exclusion, recovery, non-volatile memory
Collection: 24th International Conference on Principles of Distributed Systems (OPODIS 2020)
Issue Date: 2021
Date of publication: 25.01.2021

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