License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.OPODIS.2016.32
URN: urn:nbn:de:0030-drops-71010
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7101/
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Chen, Tian Ze ; Wei, Yuanhao

Step Optimal Implementations of Large Single-Writer Registers

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LIPIcs-OPODIS-2016-32.pdf (0.5 MB)

Abstract

We present two wait-free algorithms for simulating an l-bit single-writer register from k-bit single-writer registers, for any k >= 1. Our first algorithm has big-theta(l/k) step complexity for both Read and Write and uses big-theta (4^(l-k)) registers. An interesting feature of the algorithm is that Read operations do not write to shared variables. Our second algorithm has big-theta (l/k + (log n)/k) step complexity for both Read and Write, where n is the number of readers, but uses only big-theta (nl/k + n(log n)/k) registers. Combining both algorithms gives an implementation with big-theta (l/k) step complexity using big-theta (nl/k) space for any 1 <= k < l.

We also prove that any implementation with big-O (l/k) step complexity for Read requires big-omega (l/k) step complexity for Write. Since reading l-bits requires at least ceiling(l/k) reads of k-bit registers, our lower bound shows that our implementation is step optimal.

BibTeX - Entry

@InProceedings{chen_et_al:LIPIcs:2017:7101,
  author =	{Tian Ze Chen and Yuanhao Wei},
  title =	{{Step Optimal Implementations of Large Single-Writer Registers}},
  booktitle =	{20th International Conference on Principles of Distributed Systems (OPODIS 2016)},
  pages =	{32:1--32:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-031-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{70},
  editor =	{Panagiota Fatourou and Ernesto Jim{\'e}nez and Fernando Pedone},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7101},
  URN =		{urn:nbn:de:0030-drops-71010},
  doi =		{10.4230/LIPIcs.OPODIS.2016.32},
  annote =	{Keywords: atomic register, regular register, wait-free implementation, single writer, optimal}
}

Keywords: atomic register, regular register, wait-free implementation, single writer, optimal
Collection: 20th International Conference on Principles of Distributed Systems (OPODIS 2016)
Issue Date: 2017
Date of publication: 06.04.2017

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