The Byzantine Generals Problem

The work

AuthorsLeslie Lamport; Robert Shostak; Marshall Pease
Editors
Typearticle
Year1982
Citekeylamport1982byzantine

Where it appeared

Published inACM Transactions on Programming Languages and Systems
PublisherAssociation for Computing Machinery
Volume4
Issue3
Pages382--401

Identifiers

DOI10.1145/357172.357176

Related

Distinct frompease1980reaching

Abstract

Reliable computer systems must handle malfunctioning components that give conflicting information to different parts of the system. This situation can be expressed abstractly in terms of a group of generals of the Byzantine army camped with their troops around an enemy city. Communicating only by messenger, the generals must agree upon a common battle plan. However, one or more of them may be traitors who will try to confuse the others. The problem is to find an algorithm to ensure that the loyal generals will reach agreement. It is shown that, using only oral messages, this problem is solvable if and only if more than two-thirds of the generals are loyal; so a single traitor can confound two loyal generals. With unforgeable written messages, the problem is solvable for any number of generals and possible traitors. Applications of the solutions to reliable computer systems are then discussed.

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Cite it as

@article{lamport1982byzantine,
  title        = {The Byzantine Generals Problem},
  author       = {Leslie Lamport and Robert Shostak and Marshall Pease},
  year         = {1982},
  journal      = {ACM Transactions on Programming Languages and Systems},
  publisher    = {Association for Computing Machinery},
  volume       = {4},
  number       = {3},
  pages        = {382--401},
  doi          = {10.1145/357172.357176},
}

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