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Brief Announcement: Linearizability: A Typo

Published: 23 July 2021 Publication History

Abstract

Linearizability is the de facto consistency condition for concurrent objects, widely used in theory and practice. Loosely speaking, linearizability classifies concurrent executions as correct if operations on shared objects appear to take effect instantaneously during the operation execution time. This paper calls attention to a somewhat-neglected aspect of linearizability: restrictions on how pending invocations are handled, an issue that has become increasingly important for software running on systems with non-volatile main memory. Interestingly, the original published definition of linearizability includes a typo (a symbol is missing a prime) that concerns exactly this issue. In this paper we point out the typo and provide an amendment to make the definition complete. We believe that pointing this typo out rigorously and proposing a fix is important and timely.

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MP4 File (PODC21-119ba.mp4)
Linearizability: A Typo - Gal Sela, Maurice Herlihy and Erez Petrank. Linearizability is the de facto consistency condition for concurrent objects, widely used in theory and practice. Loosely speaking, linearizability classifies concurrent executions as correct if operations on shared objects appear to take effect instantaneously during the operation execution time. This paper calls attention to a somewhat-neglected aspect of linearizability: restrictions on how pending invocations are handled, an issue that has become increasingly important for software running on systems with non-volatile main memory. Interestingly, the original published definition of linearizability includes a typo (a symbol is missing a prime) that concerns exactly this issue. In this paper we point out the typo and provide an amendment to make the definition complete. We believe that pointing this typo out rigorously and proposing a fix is important and timely. (The paper appears at https://doi.org/10.1145/3465084.3467944)

References

[1]
Marcos K Aguilera and Svend Frølund. 2003. Strict linearizability and the power of aborting. Technical Report HPL-2003--241 (2003). https://hpl.hp.com/techreports/2003/HPL-2003--241.html
[2]
Ryan Berryhill, Wojciech Golab, and Mahesh Tripunitara. 2015. Robust shared objects for non-volatile main memory. In OPODIS. https://doi.org/10.4230/LIPIcs.OPODIS.2015.20
[3]
Rachid Guerraoui and Ron R Levy. 2004. Robust emulations of shared memory in a crash-recovery model. In ICDCS. https://doi.org/10.1109/ICDCS.2004.1281605
[4]
Maurice Herlihy and Jeannette M. Wing. 1990. Linearizability: A correctness condition for concurrent objects. TOPLAS, Vol. 12, 3 (1990). https://doi.org/10.1145/78969.78972
[5]
Joseph Izraelevitz, Hammurabi Mendes, and Michael L Scott. 2016. Linearizability of persistent memory objects under a full-system-crash failure model. In DISC. https://doi.org/10.1007/978-3-662-53426-7_23
[6]
Gal Sela, Maurice Herlihy, and Erez Petrank. 2021. Linearizability: A typo. arXiv preprint (2021).

Cited By

View all
  • (2023)Efficient linearizability checking for actor‐based systemsSoftware: Practice and Experience10.1002/spe.325153:11(2163-2199)Online publication date: 22-Aug-2023
  • (2022)Implementing and verifying release-acquire transactional memory in C11Proceedings of the ACM on Programming Languages10.1145/35633526:OOPSLA2(1817-1844)Online publication date: 31-Oct-2022
  • (2022)Concurrent sizeProceedings of the ACM on Programming Languages10.1145/35633006:OOPSLA2(345-372)Online publication date: 31-Oct-2022

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Published In

cover image ACM Conferences
PODC'21: Proceedings of the 2021 ACM Symposium on Principles of Distributed Computing
July 2021
590 pages
ISBN:9781450385480
DOI:10.1145/3465084
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Publication History

Published: 23 July 2021

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Author Tags

  1. concurrent algorithms
  2. concurrent data structures
  3. correctness
  4. linearizability
  5. verification

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  • Extended-abstract

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  • The United States - Israel BSF

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PODC '21
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Cited By

View all
  • (2023)Efficient linearizability checking for actor‐based systemsSoftware: Practice and Experience10.1002/spe.325153:11(2163-2199)Online publication date: 22-Aug-2023
  • (2022)Implementing and verifying release-acquire transactional memory in C11Proceedings of the ACM on Programming Languages10.1145/35633526:OOPSLA2(1817-1844)Online publication date: 31-Oct-2022
  • (2022)Concurrent sizeProceedings of the ACM on Programming Languages10.1145/35633006:OOPSLA2(345-372)Online publication date: 31-Oct-2022

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