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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,…

In the past decade, many techniques have been developed to prove linearizability, the gold standard of correctness for concurrent data structures. Intuitively, linearizability requires that every operation on a concurrent data structure…

Programming Languages · Computer Science 2025-09-09 Zachary Kent , Ugur Y. Yavuz , Siddhartha Jayanti , Stephanie Balzer , Guy Blelloch

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

This paper proposes a general framework for adding linearizable iterators to a class of data structures that implement set operations. We introduce a condition on set operations, called local consistency, which informally states that set…

Data Structures and Algorithms · Computer Science 2018-03-02 Archita Agarwal , Zhiyu Liu , Eli Rosenthal , Vikram Saraph

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

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

We present and verify template algorithms for lock-free concurrent search structures that cover a broad range of existing implementations based on lists and skiplists. Our linearizability proofs are fully mechanized in the concurrent…

Programming Languages · Computer Science 2024-05-24 Nisarg Patel , Dennis Shasha , Thomas Wies

While linearizability is a fundamental correctness condition for distributed systems, ensuring the linearizability of implementations can be quite complex. An essential aspect of linearizable implementations of concurrent objects is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-08 Raïssa Nataf , Yoram Moses

Transactional memory is a mechanism that manages thread synchronisation on behalf of a programmer so that blocks of code execute with an illusion of atomicity. The main safety criterion for transactional memory is opacity, which defines…

Logic in Computer Science · Computer Science 2016-10-05 Alasdair Armstrong , Brijesh Dongol , Simon Doherty

Linearizability is the gold standard of correctness conditions for shared memory algorithms, and historically has been considered the practical equivalent of atomicity. However, it has been shown [1] that replacing atomic objects with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Sean Ovens , Philipp Woelfel

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

There is an increasing body of literature proposing new and efficient persistent versions of concurrent data structures ensuring that a consistent state can be recovered after a power failure or a crash. Their correctness is typically…

Programming Languages · Computer Science 2022-11-15 Emanuele D'Osualdo , Azalea Raad , Viktor Vafeiadis

Linearizability is a widely accepted notion of correctness for concurrent objects. Recent research has investigated redefining linearizability for particular hardware weak memory models, in particular for TSO. In this paper, we provide an…

Logic in Computer Science · Computer Science 2019-07-03 Graeme Smith , Kirsten Winter , Robert J. Colvin

Linearizability is a well-known correctness property for concurrent and distributed systems. In the past, it was also used to prove the design and implementation of replicated state-machines correct. State-machine replication (SMR) is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Franz J. Hauck , Alexander Heß

Tasks and objects are two predominant ways of specifying distributed problems. A task is specified by an input/output relation, defining for each set of processes that may run concurrently, and each assignment of inputs to the processes in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-02 Armando Castaneda , Michel Raynal , Sergio Rajsbaum

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

It has been observed that linearizability, the prevalent consistency condition for implementing concurrent objects, does not preserve some probability distributions. A stronger condition, called strong linearizability has been proposed, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-30 Hagit Attiya , Constantin Enea

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

Considering asynchronous shared memory systems in which any number of processes may crash, this work identifies and formally defines relaxations of queues and stacks that can be non-blocking or wait-free while being implemented using only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-05 Armando Castañeda , Sergio Rajsbaum , Michel Raynal

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