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A Wait-Free Deque With Polylogarithmic Step Complexity

Authors Shalom M. Asbell , Eric Ruppert

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Author Details

Shalom M. Asbell
  • Department of Electrical Engineering and Computer Science, York University, Toronto, Canada
Eric Ruppert
  • Department of Electrical Engineering and Computer Science, York University, Toronto, Canada

Funding

This research was funded by the Natural Sciences and Engineering Research Council of Canada and a Lassonde Undergraduate Research Award.

Acknowledgements

We thank the anonymous reviewers for their detailed comments. This research was funded by the Natural Sciences and Engineering Research Council of Canada and a Lassonde Undergraduate Research Award.

Cite As Get BibTex

Shalom M. Asbell and Eric Ruppert. A Wait-Free Deque With Polylogarithmic Step Complexity. In 27th International Conference on Principles of Distributed Systems (OPODIS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 286, pp. 17:1-17:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.OPODIS.2023.17

Abstract

The amortized step complexity of operations on all previous lock-free implementations of double-ended queues is linear in the number of processes. This paper presents the first concurrent double-ended queue where the amortized step complexity of each operation is polylogarithmic. Since a stack is a special case of a double-ended queue, this is also the first concurrent stack with polylogarithmic step complexity. The implementation is wait-free and the amortized step complexity is O(log² p + log q) per operation, where p is the number of processes and q is the size of the double-ended queue.

Subject Classification

ACM Subject Classification
  • Theory of computation → Data structures design and analysis
  • Theory of computation → Concurrent algorithms
Keywords
  • Lock-Free
  • Wait-Free
  • Double-Ended Queue
  • Deque
  • Stack
  • Space-Bounded
  • Polylogarithmic
  • Linearizable

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