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A self-stabilizing protocol provides by definition a tolerance to transient failures. Recently, a new class of self-stabilizing protocols appears. These protocols provides also a tolerance to a given number of permanent failures. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-30 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

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

Modern machine learning (ML) models are capable of impressive performances. However, their prowess is not due only to the improvements in their architecture and training algorithms but also to a drastic increase in computational power used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-27 Andrei Kucharavy , Matteo Monti , Rachid Guerraoui , Ljiljana Dolamic

We present concept and implementation of a self-stabilizing Byzantine fault-tolerant distributed clock generation scheme for multi-synchronous GALS architectures in critical applications. It combines a variant of a recently introduced…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-10 Danny Dolev , Matthias Függer , Christoph Lenzen , Markus Posch , Ulrich Schmid , Andreas Steininger

This paper focuses on decentralized stochastic optimization in the presence of Byzantine attacks. During the optimization process, an unknown number of malfunctioning or malicious workers, termed as Byzantine workers, disobey the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Zhaoxian Wu , Tianyi Chen , Qing Ling

The paper investigates the Lattice Agreement (LA) problem in asynchronous systems. In LA each process proposes an element $e$ from a predetermined lattice, and has to decide on an element $e'$ of the lattice such that $e \leq e'$. Moreover,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-14 Giuseppe Antonio Di Luna , Emmanuelle Anceaume , Leonardo Querzoni

We consider the problem of reliably broadcasting information in a multihop asynchronous network that is subject to Byzantine failures. Most existing approaches give conditions for perfect reliable broadcast (all correct nodes deliver the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-15 Alexandre Maurer , Sébastien Tixeuil

Consider an asynchronous system where each node begins with some point in $\mathbb{R}^m$. Given some fixed $\epsilon > 0$, we wish to have every nonfaulty node eventually output a point in $\mathbb{R}^m$, where all outputs are within…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-07 Maya Dotan , Gilad Stern , Aviv Zohar

A reliable communication primitive guarantees the delivery, integrity, and authorship of messages exchanged between correct processes of a distributed system. We investigate the necessary and sufficient conditions for reliable communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-27 Silvia Bonomi , Giovanni Farina , Sébastien Tixeuil

Blockchain technology offers a decentralized and secure method for storing and authenticating data, rendering it well-suited for various applications such as digital currencies, supply chain management, and voting systems. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad R. Shakournia , Pooya Jamshidi , Hamid Reza Faragardi , Nasser Yazdani

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

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

In this report, we investigate the multi-valued Byzantine consensus problem. We introduce two algorithms: the first one achieves traditional validity requirement for consensus, and the second one achieves a stronger "q-validity"…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-10 Guanfeng Liang , Nitin Vaidya

We define and show how to implement SWMR registers that provide properties of unforgeable digital signatures - without actually using such signatures - in systems with Byzantine processes. Intuitively, processes can use these registers to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-16 Xing Hu , Sam Toueg

We describe an algorithm for Byzantine agreement that is scalable in the sense that each processor sends only $\tilde{O}(\sqrt{n})$ bits, where $n$ is the total number of processors. Our algorithm succeeds with high probability against an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-25 Valerie King , Jared Saia

This paper presents TetraBFT, a novel unauthenticated Byzantine fault tolerant protocol for solving consensus in partial synchrony, eliminating the need for public key cryptography and ensuring resilience against computationally unbounded…

Cryptography and Security · Computer Science 2026-04-14 Qianyu Yu , Giuliano Losa , Xuechao Wang

The problem of Byzantine consensus has been key to designing secure distributed systems. However, it is particularly difficult, mainly due to the presence of Byzantine processes that act arbitrarily and the unknown message delays in general…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-05 Alejandro Ranchal-Pedrosa , Vincent Gramoli

Since the mid-1980s it has been known that Byzantine Agreement can be solved with probability 1 asynchronously, even against an omniscient, computationally unbounded adversary that can adaptively \emph{corrupt} up to $f<n/3$ parties.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-01 Shang-En Huang , Seth Pettie , Leqi Zhu

Threshold guards are a basic primitive of many fault-tolerant algorithms that solve classical problems in distributed computing, such as reliable broadcast, two-phase commit, and consensus. Moreover, threshold guards can be found in recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Igor Konnov , Marijana Lazić , Ilina Stoilkovska , Josef Widder

This paper studies the Byzantine Agreement problem where the nodes have access to a predictor that flags nodes for suspicion of faulty (Byzantine) behavior. We focus on algorithmic resilience -- the maximum number of faulty nodes an…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Julien Dallot , Darya Melnyk , Tijana Milentijevic , Stefan Schmid , Patrik Welters