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This paper describes a simple and efficient asynchronous Binary Byzantine faulty tolerant consensus algorithm. In the algorithm, non-faulty nodes perform an initial broadcast followed by a executing a series of rounds each consisting of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-12 Tyler Crain

We consider the problem of reliably broadcasting information in a multihop asyn- chronous network that is subject to Byzantine failures. That is, some nodes of the network can exhibit arbitrary (and potentially malicious) behavior. Existing…

Data Structures and Algorithms · Computer Science 2012-01-30 Alexandre Maurer , Sébastien Tixeuil

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

Critical infrastructures increasingly rely on interconnected and software-driven Cyber-Physical Systems (CPS), exposing operational processes to both accidental failures and sophisticated adversarial behavior. While Byzantine Fault Tolerant…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Tadeu Freitas , João Soares , Rolando Martins

Byzantine fault-tolerant systems have been researched for more than four decades, and although shown possible early, the solutions were impractical for a long time. With PBFT the first practical solution was proposed in 1999 and spawned new…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-13 Thomas Loruenser , Benjamin Rainer , Florian Wohner

This paper introduces Flexible BFT, a new approach for BFT consensus solution design revolving around two pillars, stronger resilience and diversity. The first pillar, stronger resilience, involves a new fault model called alive-but-corrupt…

Cryptography and Security · Computer Science 2019-06-03 Dahlia Malkhi , Kartik Nayak , Ling Ren

Existing protocols for byzantine fault tolerant distributed systems usually rely on the correct agents' ability to detect faulty agents and/or to detect the occurrence of some event or action on some correct agent. In this paper, we provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Thomas Schlögl , Ulrich Schmid

Traditional Byzantine Fault Tolerance (BFT) state machine replication protocols assume a partial synchrony model, leading to a design where a leader replica drives the protocol and is replaced after a timeout. Recently, we witnessed a surge…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-07 Afonso Oliveira , Henrique Moniz , Rodrigo Rodrigues

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 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

Byzantine reliable broadcast is a powerful primitive that allows a set of processes to agree on a message from a designated sender, even if some processes (including the sender) are Byzantine. Existing broadcast protocols for this setting…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-21 Rachid Guerraoui , Petr Kuznetsov , Matteo Monti , Matej Pavlovic , Dragos-Adrian Seredinschi , Yann Vonlanthen

We describe an approach to modelling a Byzantine tolerant distributed algorithm as a family of related finite state machines, generated from a single meta-model. Various artefacts are generated from each state machine, including diagrams…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-06-18 Graham Kirby , Alan Dearle , Stuart Norcross

Numerous distributed applications, such as cloud computing and distributed ledgers, necessitate the system to invoke asynchronous consensus objects an unbounded number of times, where the completion of one consensus instance is followed by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Chryssis Georgiou , Michel Raynal , Elad M. Schiller

This paper presents DuoBFT, a Byzantine fault-tolerant protocol that uses trusted components to provide commit decisions in the Hybrid fault model in addition to commit decisions in the BFT model. By doing so, it enables the clients to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-09 Balaji Arun , Binoy Ravindran

Federated learning systems that jointly preserve Byzantine robustness and privacy have remained an open problem. Robust aggregation, the standard defense for Byzantine attacks, generally requires server access to individual updates or…

Cryptography and Security · Computer Science 2021-10-07 Raj Kiriti Velicheti , Derek Xia , Oluwasanmi Koyejo

Traditionally, Byzantine fault tolerance (BFT) in geo-replicated systems is achieved by executing complex agreement protocols over large-distance communication links, and therefore typically incurs high response times. In this paper we…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-12 Michael Eischer , Tobias Distler

Practical Byzantine Fault Tolerance (PBFT) is a seminal state machine replication protocol that achieves a performance comparable to non-replicated systems in realistic environments. A reason for such high performance is the set of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-26 Christian Berger , Hans P. Reiser , Alysson Bessani

Byzantine fault-tolerant (BFT) protocols allow a group of replicas to come to a consensus even when some of the replicas are Byzantine faulty. There exist multiple BFT protocols to securely tolerate an optimal number of faults $t$ under…

Cryptography and Security · Computer Science 2021-11-09 Peiyao Sheng , Gerui Wang , Kartik Nayak , Sreeram Kannan , Pramod Viswanath

Federated Learning (FL) enables multiple distributed clients (e.g., mobile devices) to collaboratively train a centralized model while keeping the training data locally on the client. Compared to traditional centralized machine learning, FL…

Machine Learning · Computer Science 2021-09-29 Zhuohang Li , Luyang Liu , Jiaxin Zhang , Jian Liu

Distributed learning has emerged as a leading paradigm for training large machine learning models. However, in real-world scenarios, participants may be unreliable or malicious, posing a significant challenge to the integrity and accuracy…

Machine Learning · Computer Science 2024-06-10 Grigory Malinovsky , Peter Richtárik , Samuel Horváth , Eduard Gorbunov