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The optimal fault-tolerance achievable by any protocol has been characterized in a wide range of settings. For example, for state machine replication (SMR) protocols operating in the partially synchronous setting, it is possible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-01 Andrew Lewis-Pye , Tim Roughgarden

The idle computers on a local area, campus area, or even wide area network represent a significant computational resource---one that is, however, also unreliable, heterogeneous, and opportunistic. This type of resource has been used…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Adriana Iamnitchi , Ian Foster

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

We currently see a steady rise in the usage and size of multiprocessor systems, and so the community is evermore interested in developing fast parallel processing algorithms. However, most algorithms require a synchronization mechanism,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-12 Arya Tanmay Gupta

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

We motivate and propose a new way of thinking about failure detectors which allows us to define, quite surprisingly, what it means to solve a distributed task \emph{wait-free} \emph{using a failure detector}. In our model, the system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-15 Carole Delporte-Gallet , Hugues Fauconnier , Eli Gafni , Petr Kuznetsov

In the case of multi-threading as found in contemporary programming languages, parallel processes are interleaved according to what is known as a process-scheduling policy in the field of operating systems. In a previous paper, we extend…

Logic in Computer Science · Computer Science 2020-04-22 C. A. Middelburg

We consider the problem of sequential hypothesis testing by betting. For a general class of composite testing problems -- which include bounded mean testing, equal mean testing for bounded random tuples, and some key ingredients of…

Statistics Theory · Mathematics 2025-04-04 Ian Waudby-Smith , Ricardo Sandoval , Michael I. Jordan

We investigate the minimal number of failures that can partition a system where processes communicate both through shared memory and by message passing. We prove that this number precisely captures the resilience that can be achieved by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Hagit Attiya , Sweta Kumari , Noa Schiller

We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

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

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

We tackle the challenge of ensuring the deadlock-freedom property for message-passing processes that communicate asynchronously in cyclic process networks. Our contributions are twofold. First, we present Asynchronous Priority-based…

Logic in Computer Science · Computer Science 2024-11-20 Bas van den Heuvel , Jorge A. Pérez

In stochastic modeling, the excess entropy -- the mutual information shared between a process's past and future -- represents the fundamental lower bound of the memory needed to simulate its dynamics. However, this bound cannot be saturated…

Quantum Physics · Physics 2026-02-27 Kelvin Onggadinata , Andrew Tanggara , Mile Gu , Dagomir Kaszlikowski

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

We consider a fundamental online scheduling problem in which jobs with processing times and deadlines arrive online over time at their release dates. The task is to determine a feasible preemptive schedule on a single or multiple possibly…

Data Structures and Algorithms · Computer Science 2021-12-02 Franziska Eberle , Nicole Megow , Kevin Schewior

This article aims to describe and explain the theoretical foundations of concurrent and set concurrent algorithms, considering an asynchronous shared memory system where any number of processes can crash. Verification of concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-27 Jose Damian Lopez Diaz

We investigate online scheduling with commitment for parallel identical machines. Our objective is to maximize the total processing time of accepted jobs. As soon as a job has been submitted, the commitment constraint forces us to decide…

Data Structures and Algorithms · Computer Science 2019-04-15 Chris Schwiegelshohn , Uwe Schwiegelshohn

We describe an asynchronous algorithm to solve secure multiparty computation (MPC) over n players, when strictly less than a 1/8 fraction of the players are controlled by a static adversary. For any function f over a field that can be…

Data Structures and Algorithms · Computer Science 2013-10-15 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia

Addressing the large inefficiencies generated by the Deferred Acceptance (DA) mechanism requires priority violations, but which ones are justifiable? The leading approach is to ask individuals if they consent to waive their priority…

Theoretical Economics · Economics 2026-04-09 Josué Ortega , R. Pablo Arribillaga