Nothing Special   »   [go: up one dir, main page]

Skip to main content

Unbeatable Consensus

  • Conference paper
Distributed Computing (DISC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8784))

Included in the following conference series:

Abstract

The unbeatability of a consensus protocol, introduced by Halpern, Moses and Waarts in [15], is a stronger notion of optimality than the accepted notion of early stopping protocols. Using a novel knowledge-based analysis, this paper derives the first practical unbeatable consensus protocols in the literature, for the standard synchronous message-passing model with crash failures. These protocols strictly dominate the best known protocols for uniform and for non-uniform consensus, in some case beating them by a large margin. The analysis provides a new understanding of the logical structure of consensus, and of the distinction between uniform and nonuniform consensus. Finally, the first (early stopping and) unbeatable protocol that treats decision values “fairly” is presented. All of these protocols have very concise descriptions, and are shown to be efficiently implementable.

A full version of this paper with complete proofs is available on arXiv.org [2].

Part of the results of this paper were announced in [1].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Castañeda, A., Gonczarowski, Y.A., Moses, Y.: Brief announcement: Pareto-optimal solutions to consensus and set consensus. In: PODC, pp. 113–115 (2013)

    Google Scholar 

  2. Castañeda, A., Gonczarowski, Y.A., Moses, Y.: Unbeatable consensus (September 2014), http://arXiv.org

  3. Charron-Bost, B., Schiper, A.: Uniform consensus is harder than consensus. J. Algorithms 51(1), 15–37 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Coan, B.: A communication-efficient canonical form for fault-tolerant distributed protocols. In: Proc. 5th ACM Symp. on Principles of Distributed Computing, pp. 63–72 (1986)

    Google Scholar 

  5. Dolev, D., Reischuk, R., Strong, H.R.: Early stopping in Byzantine agreement. Journal of the ACM 34(7), 720–741 (1990)

    Article  MathSciNet  Google Scholar 

  6. Dolev, D., Strong, H.R.: Requirements for agreement in a distributed system. In: Schneider, H.J. (ed.) Distributed Data Bases, pp. 115–129. North-Holland (1982)

    Google Scholar 

  7. Dolev, D.: Beep protocols (personal communication)

    Google Scholar 

  8. Dutta, P., Guerraoui, R., Pochon, B.: The time-complexity of local decision in distributed agreement. SIAM J. Comput. 37(3), 722–756 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  9. Dwork, C., Moses, Y.: Knowledge and common knowledge in a Byzantine environment: crash failures. Information and Computation 88(2), 156–186 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  10. Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning about Knowledge. MIT Press (2003)

    Google Scholar 

  11. Fischer, M.J., Lynch, N.A., Paterson, M.S.: Impossibility of distributed consensus with one faulty processor. Journal of the ACM 32(2), 374–382 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  12. Gafni, E., Guerraoui, R., Pochon, B.: The complexity of early deciding set agreement. SIAM J. Comput. 40(1), 63–78 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. Hadzilacos, V.: On the relationship between the atomic commitment and consensus problems. In: Simons, B., Spector, A. (eds.) Fault-Tolerant Distributed Computing. LNCS, vol. 448, pp. 201–208. Springer, Heidelberg (1990)

    Chapter  Google Scholar 

  14. Halpern, J.Y., Moses, Y.: Knowledge and common knowledge in a distributed environment. Journal of the ACM 37(3), 549–587 (1990), a preliminary version appeared in PODC (1984)

    Google Scholar 

  15. Halpern, J.Y., Moses, Y., Waarts, O.: A characterization of eventual byzantine agreement. SIAM J. Comput. 31(3), 838–865 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  16. Herlihy, M., Moses, Y., Tuttle, M.R.: Transforming worst-case optimal solutions for simultaneous tasks into all-case optimal solutions. In: PODC, pp. 231–238 (2011)

    Google Scholar 

  17. Keidar, I., Rajsbaum, S.: A simple proof of the uniform consensus synchronous lower bound. Inf. Process. Lett. 85(1), 47–52 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  18. Moses, Y., Tuttle, M.R.: Programming simultaneous actions using common knowledge. Algorithmica 3, 121–169 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  19. Moses, Y.: Knowledge and Distributed Coordination (in preparation)

    Google Scholar 

  20. Pease, M., Shostak, R., Lamport, L.: Reaching agreement in the presence of faults. Journal of the ACM 27(2), 228–234 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  21. Raynal, M.: Optimal early stopping uniform consensus in synchronous systems with process omission failures. In: SPAA, pp. 302–310. ACM Press (2004)

    Google Scholar 

  22. Wang, X., Teo, Y.M., Cao, J.: A bivalency proof of the lower bound for uniform consensus. Inf. Process. Lett. 96(5), 167–174 (2005)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Castañeda, A., Gonczarowski, Y.A., Moses, Y. (2014). Unbeatable Consensus. In: Kuhn, F. (eds) Distributed Computing. DISC 2014. Lecture Notes in Computer Science, vol 8784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45174-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-45174-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45173-1

  • Online ISBN: 978-3-662-45174-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics