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Linearizability is a standard correctness criterion for concurrent algorithms, typically proved by establishing the algorithms' linearization points. However, relying on linearization points leads to proofs that are…

Logic in Computer Science · Computer Science 2023-07-11 Jesús Domínguez , Aleksandar Nanevski

Proving linearizability of concurrent data structures is crucial for ensuring their correctness, but is challenging especially for implementations that employ sophisticated synchronization techniques. In this paper, we propose a new proof…

Software Engineering · Computer Science 2025-09-16 Tangliu Wen

Linearizability is the standard correctness criterion concurrent data structures such as stacks and queues. It allows to establish observational refinement between a concurrent implementation and an atomic reference implementation.Proving…

Programming Languages · Computer Science 2017-02-10 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Suha Orhun Mutluergil

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms, and recent years have seen a number of proposals of program logics for proving it. Although these logics differ in technical details, they…

Programming Languages · Computer Science 2016-09-06 Artem Khyzha , Alexey Gotsman , Matthew Parkinson

Linearisability has become the standard correctness criterion for concurrent data structures, ensuring that every history of invocations and responses of concurrent operations has a matching sequential history. Existing proofs of…

Logic in Computer Science · Computer Science 2013-07-29 Brijesh Dongol , John Derrick

Linearizability is the commonly accepted notion of correctness for concurrent data structures. It requires that any execution of the data structure is justified by a linearization --- a linear order on operations satisfying the data…

Programming Languages · Computer Science 2017-07-07 Artem Khyzha , Mike Dodds , Alexey Gotsman , Matthew Parkinson

This paper presents a {theoretical study} of the problem of verifying linearizability at runtime, where one seeks for a concurrent algorithm for verifying that the current execution of a given concurrent shared object implementation is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Armando Castañeda , Gilde Valeria Rodríguez

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-30 Gal Sela , Maurice Herlihy , Erez Petrank

Efficient implementations of atomic objects such as concurrent stacks and queues are especially susceptible to programming errors, and necessitate automatic verification. Unfortunately their correctness criteria - linearizability with…

Logic in Computer Science · Computer Science 2015-05-26 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Jad Hamza

Proving the linearizability of highly concurrent data structures, such as those using optimistic concurrency control, is a challenging task. The main difficulty is in reasoning about the view of the memory obtained by the threads, because…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Yotam M. Y. Feldman , Constantin Enea , Adam Morrison , Noam Rinetzky , Sharon Shoham

Linearizability is the gold standard among algorithm designers for deducing the correctness of a distributed algorithm using implemented shared objects from the correctness of the corresponding algorithm using atomic versions of the same…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Wojciech Golab , Lisa Higham , Philipp Woelfel

The verification of linearizability -- a key correctness criterion for concurrent objects -- is based on trace refinement whose checking is PSPACE-complete. This paper suggests to use \emph{branching} bisimulation instead. Our approach is…

Programming Languages · Computer Science 2024-01-03 Xiaoxiao Yang , Joost-Pieter Katoen , Hao Wu

Visibility relations have been proposed by Henzinger et al. as an abstraction for proving linearizability of concurrent algorithms that obtains modular and reusable proofs. This is in contrast to the customary approach based on exhibiting…

Programming Languages · Computer Science 2022-01-31 Joakim Öhman , Aleksandar Nanevski

Efficient implementations of concurrent objects such as atomic collections are essential to modern computing. Programming such objects is error prone: in minimizing the synchronization overhead between concurrent object invocations, one…

Programming Languages · Computer Science 2017-07-04 Ahmed Bouajjani , Constantin Enea , Chao Wang

Proving linearizability of concurrent data structures remains a key challenge for verification. We present temporal interpolation as a new proof principle to conduct such proofs using hindsight arguments within concurrent separation logic.…

Programming Languages · Computer Science 2023-04-25 Roland Meyer , Thomas Wies , Sebastian Wolff

Linearizability has become the key correctness criterion for concurrent data structures, ensuring that histories of the concurrent object under consideration are consistent, where consistency is judged with respect to a sequential history…

Logic in Computer Science · Computer Science 2015-02-03 Brijesh Dongol , John Derrick

Concurrent data structures or CDS such as concurrent stacks, queues, sets etc. have become very popular in the past few years partly due to the rise of multi-core systems. But one of the greatest challenges with CDSs has been developing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-08 Sathya Peri , Muktikanta Sa , Ajay Singh , Nandini Singhal , Archit Somani

Lipton's reduction theory provides an intuitive and simple way for deducing the non-interference properties of concurrent programs, but it is difficult to directly apply the technique to verify linearizability of sophisticated fine-grained…

Programming Languages · Computer Science 2018-08-31 Tangliu Wen

This paper proposes a technique to specify and verify whether a loop can be parallelised. Our approach can be used as an additional step in a parallelising compiler to verify user annotations about loop dependences. Essentially, our…

Software Engineering · Computer Science 2014-06-16 Stefan Blom , Saeed Darabi , Marieke Huisman

Linearisability has become the standard safety criterion for concurrent data structures ensuring that the effect of a concrete operation takes place after the execution some atomic statement (often referred to as the linearisation point).…

Logic in Computer Science · Computer Science 2012-12-21 Brijesh Dongol , John Derrick
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