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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

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 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 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

This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop…

Quantum Physics · Physics 2015-06-17 Luca Mazzarella , Francesco Ticozzi , Alain Sarlette

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

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

We prove that in asynchronous message-passing systems where at most one process may crash, there is no lock-free strongly linearizable implementation of a weak object that we call Test-or-Set (ToS). This object allows a single distinguished…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-10 David Yu Cheng Chan , Vassos Hadzilacos , Xing Hu , Sam Toueg

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

Herlihy's consensus hierarchy ranks the power of various synchronization primitives for solving consensus in a model where asynchronous processes communicate through shared memory and fail by halting. This paper revisits the consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-11 Wojciech Golab

In a seminal work, Golab et al. showed that a randomized algorithm that works with atomic objects may lose some of its properties if we replace the atomic objects that it uses with linearizable objects. It was not known whether the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-01 Vassos Hadzilacos , Xing Hu , Sam Toueg

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

Nearly thirty years ago, it was shown that $\Omega(\sqrt{n})$ registers are needed to solve obstruction-free consensus among $n$ processes. This lower bound was improved to $n$ registers in 2018, which exactly matches the best upper bound.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Sean Ovens

We study two fundamental problems of distributed computing, consensus and approximate agreement, through a novel approach for proving lower bounds and impossibility results, that we call the asynchronous speedup theorem. For a given…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum

The state-of-the-art HotStuff operates an efficient pipeline in which a stable leader drives decisions with linear communication and two round-trips of message. However, the unifying proposing-voting pattern is not sufficient to improve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-22 Taining Cheng

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

Alignment has quickly become a default ingredient in LLM development, with techniques such as reinforcement learning from human feedback making models act safely, follow instructions, and perform ever-better on complex tasks. While these…

Computation and Language · Computer Science 2025-09-16 Peter West , Christopher Potts

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

We study the ability of different shared object types to solve recoverable consensus using non-volatile shared memory in a system with crashes and recoveries. In particular, we compare the difficulty of solving recoverable consensus to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Carole Delporte-Gallet , Panagiota Fatourou , Hugues Fauconnier , Eric Ruppert

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