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We introduce GCAS, a natural generalization of the well-known compare-and-swap (CAS) object. Intuitively, GCAS just replaces the fixed equality test of CAS with a parametrized comparator chosen from $\{<, =, >\}$. To showcase the utility of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Vassos Hadzilacos , Myles Thiessen , Sam Toueg

Eventually linearizable objects are novel shared memory programming constructs introduced as an analogy to eventual consistency in message-passing systems. However, their behaviors in shared memory systems are so mysterious that very little…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-29 Tong Che

Concurrency has been a subject of study for more than 50 years. Still, many developers struggle to adapt their sequential code to be accessed concurrently. This need has pushed for generic solutions and specific concurrent data structures.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-06 Andreia Correia , Pedro Ramalhete , Pascal Felber

In this work, we study progress conditions for commutativity-aware, linearizable implementations of shared objects. Motivated by the observation that commuting operations can be executed in parallel, we introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-05 Petr Kuznetsov , Pierre Sutra , Guillermo Toyos-Marfurt

Modern distributed systems rely on consensus protocols to build a fault-tolerant-core upon which they can build applications. Consensus protocols are correct under a specific failure model, where up to $f$ machines can fail. We argue that…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Reginald Frank , Soujanya Ponnapalli , Octavio Lomeli , Neil Giridharan , Marcos K Aguilera , Natacha Crooks

Are (set)-consensus objects necessary? This paper answer is negative. We show that the availability of consensus objects can be replaced by restricting the set of runs we consider. In particular we concentrate of the set of runs of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-21 Eli Gafni

The consensus number of an object is the maximum number of processes among which binary consensus can be solved using any number of instances of the object and read-write registers. Herlihy [6] showed in his seminal work that if an object…

Data Structures and Algorithms · Computer Science 2018-08-21 Pankaj Khanchandani , Roger Wattenhofer

A powerful tool for designing complex concurrent programs is through composition with object implementations from lower-level primitives. Strongly-linearizable implementations allow to preserve hyper-properties, e.g., probabilistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-22 Hagit Attiya , Armando Castañeda , Constantin Enea

A natural way to measure the power of a distributed-computing model is to characterize the set of tasks that can be solved in it. %the model. In general, however, the question of whether a given task can be solved in a given model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Carole Delporte-Gallet , Hugues Fauconnier , Eli Gafni , Petr Kuznetsov

In all existing quantum walk models, the assumption about a pre-existing fixed background causal structure is always made and has been taken for granted. Nevertheless, in this work we will get rid of this tacit assumption especially by…

Quantum Physics · Physics 2022-02-15 Yuanbo Chen , Yoshihiko Hasegawa

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 problem, briefly stated, consists of having processes in an asynchronous distributed system agree on a value. It is widely known that the consensus problem does not have a deterministic solution that ensures both termination…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-15 Gabriel Rocha

We propose a new distributed-computing model, inspired by permissionless distributed systems such as Bitcoin and Ethereum, that allows studying permissionless consensus in a mathematically regular setting. Like in the sleepy model of Pass…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-10 Giuliano Losa , Eli Gafni

The set consensus problem has played an important role in the study of distributed systems for over two decades. Indeed, the search for lower bounds and impossibility results for this problem spawned the topological approach to distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

Generally, system failures, such as crash failures, Byzantine failures and so on, are considered as common reasons for the inconsistencies of distributed consensus and have been extensively studied. In fact, strategic manipulations by…

Computer Science and Game Theory · Computer Science 2022-09-07 Yansong Zhang , Bo Shen , Yingsi Zhao

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Wöhrle , Wolfgang Thomas

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

The safe-consensus task was introduced by Afek, Gafni and Lieber (DISC' 09) as a weakening of the classic consensus. When there is concurrency, the consensus output can be arbitrary, not even the input of any process. They showed that…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Rodolfo Conde , Sergio Rajsbaum

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

An obstruction-free implementation guarantees progress to every operation that is given enough time to take steps in isolation. But, as we show in this paper, the mere presence of concurrent operations alone does not have to prevent…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Petr Kuznetsov , Pierre Sutra , Guillermo Toyos-Marfurt
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