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The celebrated \emph{asynchronous computability theorem} provides a characterization of the class of decision tasks that can be solved in a wait-free manner by asynchronous processes that communicate by writing and taking atomic snapshots…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-18 Fernando Benavides , Sergio Rajsbaum

A snapshot object simulates the behavior of an array of single-writer/multi-reader shared registers that can be read atomically. Delporte-Gallet et al. proposed two fault-tolerant algorithms for snapshot objects in asynchronous crash-prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Chryssis Georgiou , Oskar Lundström , Elad Michael Schiller

We show that for one-shot problems - problems where a processor executes a single operation-execution - timing constraints can be captured by conditions on the relation between original outputs and supplementary snapshots. In addition to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-18 Eli Gafni

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 wait-free read-write memory model has been characterized as an iterated \emph{Immediate Snapshot} (IS) task. The IS task is \emph{affine}---it can be defined as a (sub)set of simplices of the standard chromatic subdivision. It is known…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-06 Eli Gafni , Yuan He , Petr Kuznetsov , Thibault Rieutord

The $k$-set agreement problem is a generalization of the consensus problem. Namely, assuming each process proposes a value, each non-faulty process has to decide a value such that each decided value was proposed, and no more than $k$…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-03 Zohir Bouzid , Michel Raynal , Pierre Sutra

The Iterated Immediate Snapshot model (IIS), due to its elegant geometrical representation, has become standard for applying topological reasoning to distributed computing. Its modular structure makes it easier to analyze than the more…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-21 Zohir Bouzid , Eli Gafni , Petr Kuznetsov

In this work, we propose the $\lambda$-scanner snapshot, a variation of the snapshot object, which supports any fixed amount of $0 < \lambda \leq n$ different $SCAN$ operations being active at any given time. Whenever $\lambda$ is equal to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-12 Nikolaos D. Kallimanis , Eleni Kanellou , Charidimos Kiosterakis

In this paper we consider a synchronous message passing system in which in every round an external adversary is able to send each processor up to k messages with falsified sender identities and arbitrary content. It is formally shown that…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-08 Michael Okun

We present an approach for efficiently taking snapshots of the state of a collection of CAS objects. Taking a snapshot allows later operations to read the value that each CAS object had at the time the snapshot was taken. Taking a snapshot…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-01 Yuanhao Wei , Naama Ben-David , Guy E. Blelloch , Panagiota Fatourou , Eric Ruppert , Yihan Sun

In the topological study of distributed systems, the immediate snapshot is the fundamental computation block for the topological characterization of wait-free solvable tasks. However, in reality, the immediate snapshot is not available as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-21 Susumu Nishimura

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

We develop a new lower bound for k-set agreement in synchronous message-passing systems connected by an arbitrary directed communication network, where up to t processes may crash. Our result thus generalizes the t/k+1 lower bound for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-13 Pierre Fraigniaud , Minh Hang Nguyen , Ami Paz , Ulrich Schmid , Hugo Rincon Galeana

In this paper we consider the k-set agreement problem in distributed message-passing systems using a round-based approach: Both synchrony of communication and failures are captured just by means of the messages that arrive within a round,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Martin Biely , Peter Robinson , Ulrich Schmid

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 well known snapshot primitive in concurrent programming allows for n-asynchronous processes to write values to an array of single-writer registers and, for each process, to take a snapshot of these registers. In this paper we provide a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-11 Gal Amram , Lior Mizrahi , Gera Weiss

Deep learning has demonstrated tremendous potential for Automatic Text Scoring (ATS) tasks. In this paper, we describe a new neural architecture that enhances vanilla neural network models with auxiliary neural coherence features. Our new…

Artificial Intelligence · Computer Science 2017-11-15 Yi Tay , Minh C. Phan , Luu Anh Tuan , Siu Cheung Hui

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

Despite of being quite similar agreement problems, consensus and general k-set agreement require surprisingly different techniques for proving the impossibility in asynchronous systems with crash failures: Rather than relatively simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Martin Biely , Peter Robinson , Ulrich Schmid

In this paper we consider a family of abstract simplicial complexes which we call immediate snapshot complexes. Their definition is motivated by theoretical distributed computing. Specifically, these complexes appear as protocol complexes…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-20 Dmitry N. Kozlov
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