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DOI: 10.4230/LIPIcs.DISC.2018.21

An Almost Tight RMR Lower Bound for Abortable Test-And-Set

Authors: Aryaz Eghbali and Philipp Woelfel

Published in: LIPIcs, Volume 121, 32nd International Symposium on Distributed Computing (DISC 2018)

Abstract

We prove a lower bound of Omega(log n/log log n) for the remote memory reference (RMR) complexity of abortable test-and-set (leader election) in the cache-coherent (CC) and the distributed shared memory (DSM) model. This separates the complexities of abortable and non-abortable test-and-set, as the latter has constant RMR complexity [Wojciech Golab et al., 2010]. Golab, Hendler, Hadzilacos and Woelfel [Wojciech M. Golab et al., 2012] showed that compare-and-swap can be implemented from registers and test-and-set objects with constant RMR complexity. We observe that a small modification to that implementation is abortable, provided that the used test-and-set objects are atomic (or abortable). As a consequence, using existing efficient randomized wait-free implementations of test-and-set [George Giakkoupis and Philipp Woelfel, 2012], we obtain randomized abortable compare-and-swap objects with almost constant (O(log^* n)) RMR complexity.

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Aryaz Eghbali and Philipp Woelfel. An Almost Tight RMR Lower Bound for Abortable Test-And-Set. In 32nd International Symposium on Distributed Computing (DISC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 121, pp. 21:1-21:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{eghbali_et_al:LIPIcs.DISC.2018.21,
  author =	{Eghbali, Aryaz and Woelfel, Philipp},
  title =	{{An Almost Tight RMR Lower Bound for Abortable Test-And-Set}},
  booktitle =	{32nd International Symposium on Distributed Computing (DISC 2018)},
  pages =	{21:1--21:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-092-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{121},
  editor =	{Schmid, Ulrich and Widder, Josef},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2018.21},
  URN =		{urn:nbn:de:0030-drops-98103},
  doi =		{10.4230/LIPIcs.DISC.2018.21},
  annote =	{Keywords: Abortability, Test-And-Set, Leader Election, Compare-and-Swap, RMR Complexity, Lower Bound}
}

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An Almost Tight RMR Lower Bound for Abortable Test-And-Set

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