Constant-Space Localized Byzantine Consensus

  • Authors:
  • Danny Dolev;Ezra N. Hoch

  • Affiliations:
  • School of Engineering and Computer Science, The Hebrew University of Jerusalem, Israel;School of Engineering and Computer Science, The Hebrew University of Jerusalem, Israel

  • Venue:
  • DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
  • Year:
  • 2008

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Abstract

Adding Byzantintolerance to large scale distributed systems is considered non-practical. The time, message and space requirements are very high. Recently, researches have investigated the broadcast problemin the presence of a fl-local Byzantinadversary. The local adversary cannot control more than flneighbors of any given node. This paper proves sufficient conditions as to when the synchronous Byzantinconsensus problemcan be solved in the presence of a fl-local adversary.Moreover, we show that for a family of graphs, the Byzantinconsensus problem can be solved using a relatively small number of messages, and with time complexity proportional to the diameter of the network. Specifically, for a family of bounded-degree graphs with logarithmic diameter, O(logn) time and O(nlogn) messages. Furthermore, our proposed solution requires constant memory space at each node.