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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

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

The semantics of concurrent data structures is usually given by a sequential specification and a consistency condition. Linearizability is the most popular consistency condition due to its simplicity and general applicability. Nevertheless,…

Linearizability of concurrent data structures is usually proved by monolithic simulation arguments relying on the identification of the so-called linearization points. Regrettably, such proofs, whether manual or automatic, are often…

Logic in Computer Science · Computer Science 2015-07-01 Soham Chakraborty , Thomas A. Henzinger , Ali Sezgin , Viktor Vafeiadis

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 the strongest correctness property for both shared memory and message passing systems. One of its useful features is the compositionality: a history (execution) is linearizable if and only if each object (component)…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-09 Haoxiang Lin

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

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

In the interleaving model of concurrency, where events are totally ordered, linearizability is compositional: the composition of two linearizable objects is guaranteed to be linearizable. However, linearizability is not compositional when…

Logic in Computer Science · Computer Science 2018-02-07 Simon Doherty , John Derrick , Brijesh Dongol , Heike Wehrheim

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 has been the long standing gold standard for consistency in concurrent data structures. However, proofs of linearizability can be long and intricate, hard to produce, and extremely time consuming even to verify. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-14 Prasad Jayanti , Siddhartha Jayanti , Ugur Y. Yavuz , Lizzie Hernandez

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

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

Most work on the verification of concurrent objects for shared memory assumes sequential consistency, but most multicore processors support only weak memory models that do not provide sequential consistency. Furthermore, most verification…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-25 Simon Doherty , John Derrick

Compositional verification algorithms are well-studied in the context of model checking. Properly selecting components for verification is important for efficiency, yet has received comparatively less attention. In this paper, we address…

Formal Languages and Automata Theory · Computer Science 2024-08-19 Ian Dardik , April Porter , Eunsuk Kang

Architectural imperatives due to the slowing of Moore's Law, the broad acceptance of relaxed semantics and the O(n!) worst case verification complexity of generating sequential histories motivate a new approach to concurrent correctness.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Victor Cook , Christina Peterson , Zachary Painter , Damian Dechev

Linearizability, the de facto correctness condition for concurrent data structure implementations, despite its intuitive appeal is known to lead to poor scalability. This disadvantage has led researchers to design scalable data structures…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Ali Sezgin

Compositionality and process equivalence are both standard concepts of process algebra. Compositionality means that the behaviour of a compound system relies only on the behaviour of its components, i.e. there is no emergent behaviour.…

Logic in Computer Science · Computer Science 2016-03-04 Paweł Sobociński

Arguments about correctness of a concurrent data structure are typically carried out by using the notion of linearizability and specifying the linearization points of the data structure's procedures. Such arguments are often cumbersome as…

Logic in Computer Science · Computer Science 2017-01-19 Germán Andrés Delbianco , Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee

Consistency properties of concurrent computations, e.g., sequential consistency, linearizability, or eventual consistency, are essential for devising correct concurrent algorithms. In this paper, we present a logical formalization of such…

Logic in Computer Science · Computer Science 2013-05-13 Klaus v. Gleissenthall , Andrey Rybalchenko
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