Document Open Access Logo

Poly-Logarithmic Adaptive Algorithms Require Unconditional Primitives

Authors Hagit Attiya, Arie Fouren

PDF

File

Thumbnail PDF
PDF
LIPIcs.OPODIS.2015.36.pdf
  • Filesize: 0.53 MB
  • 16 pages

Document Identifiers

Subject Classification

Keywords
  • collect
  • atomic snapshot
  • renaming
  • fetch&inc
  • compare&swap

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
    0
    Metadata Views

Abstract

This paper studies the step complexity of adaptive algorithms using primitives stronger than reads and writes. We first consider unconditional primitives, like fetch&inc, which modify the value of the register to which they are applied, regardless of its current value. Unconditional primitives admit snapshot algorithms with O(log(k)) step complexity, where k is the total or the point contention. These algorithms combine a renaming algorithm with a mechanism for propagating values so they can be quickly collected.

When only conditional primitives, e.g., compare&swap or LL/SC, are used (in addition to reads and writes), we show that any collect algorithm must perform Omega(k) steps, in an execution with total contention k in O(log(log(n))). The lower bound applies for snapshot and renaming, both one-shot and long-lived. Note that there are snapshot algorithms whose step complexity is polylogarithmic in n using only reads and writes, but there are no adaptive algorithms whose step complexity is polylogarithmic in the contention, even when compare&swap and LL/SC are used.

Cite As Get BibTex

Hagit Attiya and Arie Fouren. Poly-Logarithmic Adaptive Algorithms Require Unconditional Primitives. In 19th International Conference on Principles of Distributed Systems (OPODIS 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 46, pp. 36:1-36:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.OPODIS.2015.36

Author Details

Hagit Attiya
Arie Fouren

References

  1. Yehuda Afek, Hagit Attiya, Danny Dolev, Eli Gafni, Michael Merritt, and Nir Shavit. Atomic snapshots of shared memory. Journal of the ACM, 40(4):873-890, September 1993. Google Scholar
  2. Yehuda Afek and Yaron De Levie. Efficient adaptive collect algorithms. Distributed Computing, 20(3):221-238, 2007. Google Scholar
  3. Yehuda Afek, Gideon Stupp, and Dan Touitou. Long-lived adaptive collect with applications. In Foundations of Computer Science, 1999. 40th Annual Symposium on, pages 262-272. IEEE, 1999. Google Scholar
  4. Yehuda Afek, Gideon Stupp, and Dan Touitou. Long-lived and adaptive atomic snapshot and immediate snapshot. In Proceedings of the nineteenth annual ACM symposium on Principles of distributed computing, pages 71-80. ACM, 2000. Google Scholar
  5. Dan Alistarh, James Aspnes, Keren Censor-Hillel, Seth Gilbert, and Rachid Guerraoui. Tight bounds for asynchronous renaming. J. ACM, 61(3):18:1-18:51, June 2014. URL: http://dx.doi.org/10.1145/2597630.
  6. James Aspnes, Hagit Attiya, and Keren Censoe-Hillel. Polylogarithmic concurrent data structures from monotone circuits. Journal of ACM, 59:2:2-2:24, 2012. Google Scholar
  7. Hagit Attiya, Amotz Bar-Noy, Danny Dolev, David Peleg, and Rüdiger Reischuk. Renaming in an asynchronous environment. Journal of the ACM, 37(3):524-548, 1990. Google Scholar
  8. Hagit Attiya and Vita Bortnikov. Adaptive and efficient mutual exclusion. Distributed Computing, 15(3):177-189, 2002. Google Scholar
  9. Hagit Attiya and Arie Fouren. Polynomial and adaptive long-lived (2k-1)-renaming. In Distributed Computing, pages 149-163. Springer, 2000. Google Scholar
  10. Hagit Attiya and Arie Fouren. Adaptive and efficient algorithms for lattice agreement and renaming. SIAM J. Comput., 31(2):642-664, February 2002. URL: http://dx.doi.org/10.1137/S0097539700366000.
  11. Hagit Attiya and Arie Fouren. Algorithms adapting to point contention. J. ACM, 50(4):444-468, July 2003. URL: http://dx.doi.org/10.1145/792538.792541.
  12. Hagit Attiya, Arie Fouren, and Eli Gafni. An adaptive collect algorithm with applications. Distributed Computing, 15(2):87-96, 2002. Google Scholar
  13. Hagit Attiya, Danny Hendler, and Philipp Woelfel. Tight RMR lower bounds for mutual exclusion and other problems. In Proceedings of the fortieth annual ACM symposium on Theory of computing, pages 217-226. ACM, 2008. Google Scholar
  14. Elizabeth Borowsky and Eli Gafni. Generalized flp impossibility result for t-resilient asynchronous computations. In Proceedings of the Twenty-fifth Annual ACM Symposium on Theory of Computing, STOC'93, pages 91-100, 1993. Google Scholar
  15. Faith Fich, Danny Hendler, and Nir Shavit. On the inherent weakness of conditional synchronization primitives. In Proceedings of the Twenty-third Annual ACM Symposium on Principles of Distributed Computing, PODC'04, pages 80-87, 2004. Google Scholar
  16. Arie Fouren. Adaptive Wait-Free Algorithms for Asynchronous Shared-Memory Systems. PhD thesis, Technion, 2001. Google Scholar
  17. Maurice Herlihy, Victor Luchangco, and Mark Moir. Space-and time-adaptive nonblocking algorithms. Electronic Notes in Theoretical Computer Science, 78:260-280, 2003. Google Scholar
  18. Maurice P. Herlihy and Jeannette M. Wing. Linearizability: A correctness condition for concurrent objects. ACM Transactions on Programming Languages and Systems, 12(3):463-492, July 1990. Google Scholar
  19. Prasad Jayanti and Srdjan Petrovic. Efficient and practical constructions of LL/SC variables. In Proceedings of the twenty-second annual symposium on Principles of distributed computing, pages 285-294. ACM, 2003. Google Scholar
  20. Prasad Jayanty. f-arrays: Implementaion and applications. In Proceedings of the 21th Annual Symposium on Princeples of Distributed Computing (PODC), pages 270-279, New York, 2002. ACM. Google Scholar
  21. Yong-Jik Kim and James H Anderson. A time complexity lower bound for adaptive mutual exclusion. Distributed Computing, 24(6):271-297, 2012. Google Scholar
  22. Mark Moir and James H. Anderson. Wait-free algorithms for fast, long-lived renaming. Science of Computer Programming, 25:1-39, 1995. Google Scholar
  23. P. Turan. On an extremal problem in graph theory (in Hungarian). Mat. Fiz. Lapok, 48:436-452, 1941. Google Scholar
Any Issues?
X

Feedback on the Current Page

CAPTCHA

Thanks for your feedback!

Feedback submitted to Dagstuhl Publishing

Could not send message

Please try again later or send an E-mail
© 2023-2025 Schloss Dagstuhl – LZI GmbH About DROPS Imprint Privacy Contact