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Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

State Machine Replication (SMR) solutions often divide time into rounds, with a designated leader driving decisions in each round. Progress is guaranteed once all correct processes synchronize to the same round, and the leader of that round…

Cryptography and Security · Computer Science 2020-08-11 Oded Naor , Idit Keidar

The ability to perform repeated Byzantine agreement lies at the heart of important applications such as blockchain price oracles or replicated state machines. Any such protocol requires the following properties: (1) \textit{Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-17 Shlomi Dolev , Amit Hendin , Maurice Herlihy , Maria Potop Butucaru , Elad Michael Schiller

This report contains two related sets of results with different assumptions on synchrony. The first part is about iterative algorithms in synchronous systems. Following our previous work on synchronous iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-19 Nitin Vaidya , Lewis Tseng , Guanfeng Liang

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren

A self-stabilizing protocol tolerates by definition transient faults (faults of finite duration). Recently, a new class of self-stabilizing protocols that are able to tolerate a given number of permanent faults. In this paper, we focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-04-23 Swan Dubois , Sébastien Tixeuil , Nini Zhu

The development of fault-tolerant distributed systems that can tolerate Byzantine behavior has traditionally been focused on consensus protocols, which support fully-replicated designs. For the development of more sophisticated…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-06 Jelle Hellings , Mohammad Sadoghi

We present a scheme to convert self-stabilizing algorithms that use randomization during and following convergence to self-stabilizing algorithms that use randomization only during convergence. We thus reduce the number of random bits from…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Shlomi Dolev , Nir Tzachar

This paper proposes the first implementation of a self-stabilizing regular register emulated by $n$ servers that is tolerant to both mobile Byzantine agents, and \emph{transient failures} in a round-free synchronous model. Differently from…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-24 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

Traditional resilient systems operate on fully-replicated fault-tolerant clusters, which limits their scalability and performance. One way to make the step towards resilient high-performance systems that can deal with huge workloads, is by…

Databases · Computer Science 2021-08-20 Jelle Hellings , Mohammad Sadoghi

We introduce and solve the problem of Byzantine fault tolerant distributed quickest change detection in both continuous and discrete time setups. In this problem, multiple sensors sequentially observe random signals from the environment and…

Probability · Mathematics 2014-12-30 Erhan Bayraktar , Lifeng Lai

Synchronous Counting is the task of reaching agreement on a common round counter in a synchronous system of $n$ nodes with up to $t$ Byzantine faults in a self-stabilizing manner. That is, after transient faults may have arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Christoph Lenzen , Julian Loss

Consensus, abstracting a myriad of problems in which processes have to agree on a single value, is one of the most celebrated problems of fault-tolerant distributed computing. Consensus applications include fundamental services for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-16 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

Clock synchronization for nonfaulty processes in multiprocess networks is indispensable for a variety of technologies. A reliable system must be able to resynchronize the nonfaulty processes upon some components failing causing the…

Quantum Physics · Physics 2015-01-27 Armin Tavakoli , Adán Cabello , Marek Żukowski , Mohamed Bourennane

We study a well-known communication abstraction called Byzantine Reliable Broadcast (BRB). This abstraction is central in the design and implementation of fault-tolerant distributed systems, as many fault-tolerant distributed applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-04 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

We demonstrate a deterministic Byzantine consensus algorithm with synchronous operation in partial synchrony. It is naturally leaderless, tolerates any number of $ f<n/2 $ Byzantine processes with 2 rounds of exchange of originator-only…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-16 Ivan Klianev

This paper investigates the task solvability of mobile robot systems subject to Byzantine faults. We first consider the gathering problem, which requires all robots to meet in finite time at a non-predefined location. It is known that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-02 Taisuke Izumi , Zohir Bouzid , Sébastien Tixeuil , Koichi Wada

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

We show that asynchronous $t$ faults Byzantine system is equivalent to asynchronous $t$-resilient system, where unbeknownst to all, the private inputs of at most $t$ processors were altered and installed by a malicious oracle. The immediate…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-04 Danny Dolev , Eli Gafni