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Brief announcement: byzantine agreement with a strong adversary in polynomial expected time

Published: 22 July 2013 Publication History

Abstract

In a paper appearing in STOC 2013, we considered Byzantine agreement in the classic asynchronous message-passing model. The adversary is adaptive: it can determine which processors to corrupt and what strategy these processors should use as the algorithm proceeds. Communication is asynchronous: the scheduling of the delivery of messages is set by the adversary, so that the delays are unpredictable to the algorithm. Finally, the adversary has full information: it knows the states of all processors at any time, and is assumed to be computationally unbounded. Such an adversary is also known as "strong". We presented the first known polynomial expected time algorithm to solve asynchronous Byzantine Agreement when the adversary controls a constant fraction of processors. This is the first improvement in running time for this problem since Ben-Or's exponential expected time solution in 1983.

References

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J. Aspnes. Randomized protocols for asynchronous consensus. Journal of Distributed Computing, 16:165--175, 2003.
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H. Attiya and K. Censor. Tight bounds for asynchronous randomized consensus. Journal of the ACM, 55(5), 2008.
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H. Attiya and J. Welch. Distributed Computing: Fundamentals, Simulations and Advanced Topics (2nd edition), page 14. John Wiley Interscience, March 2004.
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M. Bellare and P. Rogaway. Random oracles are practical: a paradigm for designing efficient protocols. In ACM Conference on Computer and Communications Security, pages 62--73, 1993.
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M. Ben-Or. Another advantage of free choice (Extended Abstract): Completely asynchronous agreement protocols. In Principles of Distributed Computing (PODC), pages 27--30, 1983.
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M. Ben-Or, E. Pavlov, and V. Vaikuntanathan. Byzantine agreement in the full-information model in o (log n) rounds. In Proceedings of the ACM Symposium on Theory of Computing (STOC), 2006.
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R. Canetti and T. Rabin. Fast asynchronous Byzantine agreement with optimal resilience. In ACM Symposium on Theory of Computing (STOC), 1993.
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B. Chor and C. Dwork. Randomization in Byzantine agreement. Advances in Computing Research, 5:443--498, 1989.
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P. Feldman and S. Micali. Byzantine agreement in constant expected time (and trusting no one). In Foundations of Computer Science (FOCS), pages 267--276, 1985.
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B. Kapron, D. Kempe, V. King, J. Saia, and V. Sanwalani. Scalable algorithms for byzantine agreement and leader election with full information. ACM Transactions on Algorithms(TALG), 2009.
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M. Rabin. Randomized Byzantine generals. In Foundations of Computer Science (FOCS), pages 403--409, 1983.

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  1. Brief announcement: byzantine agreement with a strong adversary in polynomial expected time

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    cover image ACM Conferences
    PODC '13: Proceedings of the 2013 ACM symposium on Principles of distributed computing
    July 2013
    422 pages
    ISBN:9781450320658
    DOI:10.1145/2484239
    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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    New York, NY, United States

    Publication History

    Published: 22 July 2013

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    Author Tags

    1. byzantine agreement
    2. consensus
    3. distributed computing
    4. randomized algorithms

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    PODC '13
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    PODC '13: ACM Symposium on Principles of Distributed Computing
    July 22 - 24, 2013
    Québec, Montréal, Canada

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    PODC '13 Paper Acceptance Rate 37 of 145 submissions, 26%;
    Overall Acceptance Rate 740 of 2,477 submissions, 30%

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