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Brief Announcement: Computing in the Presence of Weak Crash Failures

Published: 25 July 2016 Publication History

Abstract

We consider an asynchronous shared memory system of n processes where processes may experience weak crash failures. A crash m-failure is a crash failure of a process that may occurs only while the point contention is at most m. It is known that there is no consensus algorithm for n processes using registers that can tolerate even a single crash n-failure. Is there a consensus algorithm for n processes using registers that can tolerate a single crash (n-1)-failure? It is known that there is no k-set consensus algorithm for n>k processes using registers that can tolerate k crash n-failures. How may crash (n-\ell)-failures can a k-set consensus algorithm using registers tolerate, as a function of n, k and l. Answers to these questions follow from our results regarding the ability to tolerate weak crash failures.

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M.J. Fischer, N.A. Lynch, and M.S. Paterson. Impossibility of distributed consensus with one faulty process. Journal of the ACM, 32(2):374--382, 1985.
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M. P. Herlihy and N. Shavit. The topological structure of asynchronous computability. Journal of the ACM, 46(6):858--923, July 1999.
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M. Saks and F. Zaharoglou. Wait-free k-set agreement is impossible: The topology of public knowledge. SIAM Journal on Computing, 29, 2000.
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G. Taubenfeld. Synchronization Algorithms and Concurrent Programming. Pearson / Prentice-Hall. ISBN 0--131--97259--6, 423 pages, 2006.
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G. Taubenfeld. Computing in the presence of weak crash failures, 2016. The full version is avaliable at:\\ http://www.faculty.idc.ac.il/gadi/Publications.htm.

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    cover image ACM Conferences
    PODC '16: Proceedings of the 2016 ACM Symposium on Principles of Distributed Computing
    July 2016
    508 pages
    ISBN:9781450339643
    DOI:10.1145/2933057
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Published: 25 July 2016

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    Author Tags

    1. consensus
    2. contention
    3. crash failures
    4. shared memory

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    PODC '16 Paper Acceptance Rate 40 of 149 submissions, 27%;
    Overall Acceptance Rate 740 of 2,477 submissions, 30%

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