The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Reaching approximate agreement in the presence of faults
Open accessAbstract
This paper considers a variant of the Byzantine Generals problem, in which processes start with arbitrary real values rather than Boolean values or values from some bounded range, and in which approximate, rather than exact, agreement is the desired goal. Algorithms are presented to reach approximate agreement in asynchronous, as well as synchronous systems. The asynchronous agreement algorithm is an interesting contrast to a result of Fischer et al, who show that exact agreement with guaranteed termination is not attainable in an asynchronous system with as few as one faulty process. The algorithms work by successive approximation, with a provable convergence rate that depends on the ratio between the number of faulty processes and the total number of processes. Lower bounds on the convergence rate for algorithms of this form are proved, and the algorithms presented are shown to be optimal.
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Citations
Cites
The Byzantine generals problem
Lamport, L., Shostak, R., & Pease, M. (1982) · ACM Transactions on Programming Languages and Systems · doi:10.1145/357172.357176 · Cited by 6,023
Cited by
Impossibility of distributed consensus with one faulty process
Fischer, M. J., Lynch, N. A., & Paterson, M. S. (1985) · Journal of the ACM · doi:10.1145/3149.214121 · Cited by 4,579
Self-citationConsensus in the presence of partial synchrony
Dwork, C., Lynch, N., & Stockmeyer, L. (1988) · Journal of the ACM · doi:10.1145/42282.42283 · Cited by 1,909
Self-citationResilient Asymptotic Consensus in Robust Networks
LeBlanc, H. J., Zhang, H., Koutsoukos, X., & Sundaram, S. (2013) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2013.130413 · Cited by 730
Clock Synchronization in Distributed Real-Time Systems
Kopetz, H., & Ochsenreiter, W. (1987) · IEEE Transactions on Computers · doi:10.1109/tc.1987.5009516 · Cited by 572
Fundamentals of fault-tolerant distributed computing in asynchronous environments
Gärtner, F. C. (1999) · ACM Computing Surveys · doi:10.1145/311531.311532 · Cited by 346
Metadata
- Authors
- Dolev, D., Lynch, N. A., Pinter, S. S., Stark, E. W., & Weihl, W. E.
- Venue
- Journal of the ACM
- Published
- 1986-05
- Volume
- 33
- Issue
- 3
- Pages
- 499-516
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2126906505
- Cited by
- 525
- References
- 1
- FWCI
- 10.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Reaching approximate agreement in the presence of faults. https://app.cochat.ai/papers/10.1145/5925.5931
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- Dolev, D., Lynch, N. A., Pinter, S. S., Stark, E. W., & Weihl, W. E. (1986). Reaching approximate agreement in the presence of faults. Journal of the ACM. https://doi.org/10.1145/5925.5931
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
