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We study the problem of constructing concurrent objects in a setting where $P$ processes run in parallel and interact through a shared memory that is subject to write contention. Our goal is to transform hardware primitives that are subject…

Data Structures and Algorithms · Computer Science 2026-04-17 Michael A. Bender , Guy E. Blelloch , Martin Farach-Colton , Yang Hu , Rob Johnson , Rotem Oshman , Renfei Zhou

The paper proposes an alternative proof that Omega, an oracle that outputs a process identifier and guarantees that eventually the same correct process identifier is output at all correct processes, provides minimal information about…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-19 Eli Gafni , Petr Kuznetsov

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

The test-and-set object is a fundamental synchronization primitive for shared memory systems. A test-and-set object stores a bit, initialized to 0, and supports one operation, test&set(), which sets the bit's value to 1 and returns its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 George Giakkoupis , Maryam Helmi , Lisa Higham , Philipp Woelfel

In large scale systems such as the Internet, replicating data is an essential feature in order to provide availability and fault-tolerance. Attiya and Welch proved that using strong consistency criteria such as atomicity is costly as each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-12 Matthieu Perrin , Achour Mostefaoui , Claude Jard

In this paper, we propose to study the following maximum ordinal consensus problem: Suppose we are given a metric system (M, X), which contains k metrics M = {\rho_1,..., \rho_k} defined on the same point set X. We aim to find a maximum…

Computational Complexity · Computer Science 2021-03-03 Dingkang Wang , Yusu Wang

Because strongly-linearizable objects provide stronger guarantees than linearizability, they serve as valuable building blocks for the design of concurrent data structures. Yet, many objects that have linearizable implementations from base…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Faith Ellen , Gal Sela

Relaxing the sequential specification of a shared object is a way to obtain an implementation with better performance compared to implementing the original specification. We apply this approach to the Counter object, under the assumption…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-23 Colette Johnen , Adnane Khattabi , Alessia Milani , Jennifer L. Welch

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

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

It is well known that the consensus problem cannot be solved deterministically in an asynchronous environment, but that randomized solutions are possible. We propose a new model, called noisy scheduling, in which an adversarial schedule is…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes

It has been proved that to implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time proportional to the uncertainty in the latency of the network for both read and write operations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-01 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

The consensus number of a w-bit register supporting logical left shift and right shift operations is exactly w, giving an example of a class of types, widely implemented in practice, that populates all levels of the consensus hierarchy.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 James Aspnes

To implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time linear to the uncertainty in the latency of the network for both read and write operations. Waiting only for one of them…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-28 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

Atomic shared objects, whose operations take place instantaneously, are a powerful abstraction for designing complex concurrent programs. Since they are not always available, they are typically substituted with software implementations. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-02 Hagit Attiya , Constantin Enea , Jennifer L. Welch

Multithreaded programs generally leverage efficient and thread-safe concurrent objects like sets, key-value maps, and queues. While some concurrent-object operations are designed to behave atomically, each witnessing the atomic effects of…

Logic in Computer Science · Computer Science 2019-11-06 Siddharth Krishna , Michael Emmi , Constantin Enea , Dejan Jovanovic

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

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

We study the consensus problem in a synchronous distributed system of $n$ nodes under an adaptive adversary that has a slightly outdated view of the system and can block all incoming and outgoing communication of a constant fraction of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-03 Peter Robinson , Christian Scheideler , Alexander Setzer

We consider \emph{plurality consensus} in a network of $n$ nodes. Initially, each node has one of $k$ opinions. The nodes execute a (randomized) distributed protocol to agree on the plurality opinion (the opinion initially supported by the…

Data Structures and Algorithms · Computer Science 2016-02-04 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Chris Wastell