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  A framework for semantic reasoning about byzantine quorum systems (2001) [4 citations — 1 self]

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by Evelyn Pierce, Lorenzo Alvisi
In Brief announcement in Twentieth ACM Symposium on Principles of Distributed Computing (PODC
http://www.cs.utexas.edu/ftp/pub/techreports/tr01-06.ps.Z
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Abstract:

We present a set of denitions and theorems that allow us to reason about the semantics of quorum system variables, including Byzantine quorum system variables, as a class. Using these tools, we present a formal proof that the problem of atomic semantics for such variables can be reduced to the simpler problem of regular semantics for such systems. Specically, any regular masking quorum system protocol can be combined with a writeback mechanism to produce an atomic protocol. We then describe a subclass of TS-variables for which the latter problem is not solvable by traditional approaches in an asynchronous environment. Finally, for such variables we dene the notion of pseudoregular and pseudoatomic semantics, and show brie y that the same reduction holds for these concepts.

Citations

284 Byzantine quorum systems – Malkhi, Reiter - 1998
91 A Logical Approach to Discrete Math – Gries, Schneider - 1993
68 Secure and scalable replication in phalanx – Malkhi, Reiter - 1998
33 Atomic Multireader Register – Kirousis, Kranakis, et al. - 1987
20 Synchronous Byzantine quorum systems – Bazzi - 1997
5 On interprocess communication. Distributed Computing 1 – Lamport - 1986