Distributed Computing: 21st International Symposium, DISC by Burkhard Monien, Karsten Tiemann (auth.), Andrzej Pelc

By Burkhard Monien, Karsten Tiemann (auth.), Andrzej Pelc (eds.)

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Additional info for Distributed Computing: 21st International Symposium, DISC 2007, Lemesos, Cyprus, September 24-26, 2007. Proceedings

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Let τ be the time at which x ≥ n − n, y ≥ n − n, or v ≤ n first holds. Let v0 be the initial √ number of x’s and y’s. Then for any fixed c > 0 and sufficiently large n, if v0 ≥ n + c log7 n, then √ Pr τ ≥ 6754n log n + 6759cn log n or vτ ≤ n = n−c+o(1) . Proof. ) Note that once we are in the x or y corner, Lemma 2 tells us that we remain there with high probability for exponential time. So we have a complete √ characterization of the convergence behavior of the 3-state majority protocol with o( n) Byzantine agents.

On interprocess communication. part i: Basic formalism. Distributed Computing 1(2), 77–101 (1986) 9. : Byzantine clients rendered harmless. In: Fraigniaud, P. ) DISC 2005. LNCS, vol. 3724, pp. 311–325. Springer, Heidelberg (2005) 10. : Minimal byzantine storage. In: Malkhi, D. ) DISC 2002. LNCS, vol. 2508, pp. 311–325. Springer, Heidelberg (2002) 11. : How to share a secret with cheaters. J. Cryptol. edu Abstract. We describe and analyze a 3-state one-way population protocol for approximate majority in the model in which pairs of agents are drawn uniformly at random to interact.

The first secret is used to prove that the reader has received f + 1 identical values and is split such that t = f + 1. The second secret is used to prove that the reader has received (n − f ) acknowledgements to the first phase write back and is split such that t = (n − f ). On receiving these shares and information regarding the value and timestamp that is going to be written, the servers hold them separately and do not update any values or timestamps that are used in the original protocol. After sending these shares and values to all the servers, the writer begins the original write protocol, asking the servers to update the value and then the timestamp.

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