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Author Dolev, Danny ♦ Reischuk, Ruediger ♦ Strong, H. Raymond
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1990
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Two different kinds of Byzantine Agreement for distributed systems with processor faults are defined and compared. The first is required when coordinated actions may be performed by each participant at different times. This kind is called Simultaneous Byzantine Agreement (SBA).This paper deals with the number of rounds of message exchange required to reach Byzantine Agreement of either kind (BA). If an algorithm allows its participants to reach Byzantine agreement in every execution in which at most $\textit{t}$ participants are faulty, then the algorithm is said to tolerate $\textit{t}$ faults. It is well known that any BA algorithm that tolerates $\textit{t}$ faults (with $\textit{t}$ < $\textit{n}$ - 1 where $\textit{n}$ denotes the total number of processors) must run at least $\textit{t}$ + 1 rounds in some execution. However, it might be supposed that in executions where the number $\textit{f}$ of actual faults is small compared to $\textit{t},$ the number of rounds could be correspondingly small. A corollary of our first result states that (when $\textit{t}$ < $\textit{n}$ - 1) any algorithm for SBA must run $\textit{t}$ + 1 rounds in some execution where there are no faults. For EBA (with $\textit{t}$ < $\textit{n}$ - 1), a lower bound of $min(\textit{t}$ + $1,\textit{f}$ + 2) rounds is proved. Finally, an algorithm for EBA is presented that achieves the lower bound, provided that $\textit{t}$ is on the order of the square root of the total number of processors.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1990-10-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 37
Issue Number 4
Page Count 22
Starting Page 720
Ending Page 741


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Source: ACM Digital Library