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Integrated Bounds for Disintegrated Storage

Authors: Alon Berger, Idit Keidar, and Alexander Spiegelman

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

We point out a somewhat surprising similarity between non-authenticated Byzantine storage, coded storage, and certain emulations of shared registers from smaller ones. A common characteristic in all of these is the inability of reads to safely return a value obtained in a single atomic access to shared storage. We collectively refer to such systems as disintegrated storage, and show integrated space lower bounds for asynchronous regular wait-free emulations in all of them. In a nutshell, if readers are invisible, then the storage cost of such systems is inherently exponential in the size of written values; otherwise, it is at least linear in the number of readers. Our bounds are asymptotically tight to known algorithms, and thus justify their high costs.

Cite as

Alon Berger, Idit Keidar, and Alexander Spiegelman. Integrated Bounds for Disintegrated Storage. In 32nd International Symposium on Distributed Computing (DISC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 121, pp. 11:1-11:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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  author =	{Berger, Alon and Keidar, Idit and Spiegelman, Alexander},
  title =	{{Integrated Bounds for Disintegrated Storage}},
  booktitle =	{32nd International Symposium on Distributed Computing (DISC 2018)},
  pages =	{11:1--11:18},
  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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2018.11},
  URN =		{urn:nbn:de:0030-drops-98009},
  doi =		{10.4230/LIPIcs.DISC.2018.11},
  annote =	{Keywords: storage, coding, lower bounds, space complexity, register emulations}
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