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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

Distributed control systems require high reliability and availability guarantees despite often being deployed at the edge of network infrastructure. Edge computing resources are less secure and less reliable than centralized resources in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-21 Roy Shadmon , Daniel Spencer , Owen Arden

We present a solution to consensus on a torus with Byzantine faults. Any solution to classic consensus that is tolerant to $f$ Byzantine faults requires $2f+1$ node-disjoint paths. Due to limited torus connectivity, this bound necessitates…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-10 Joseph Oglio , Kendric Hood , Gokarna Sharma , Mikhail Nesterenko

Byzantine consensus is a classical problem in distributed computing. Each node in a synchronous system starts with a binary input. The goal is to reach agreement in the presence of Byzantine faulty nodes. We consider the setting where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Muhammad Samir Khan , Nitin H. Vaidya

Quorum systems are a key abstraction in distributed fault-tolerant computing for capturing trust assumptions. They can be found at the core of many algorithms for implementing reliable broadcasts, shared memory, consensus and other…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Orestis Alpos , Christian Cachin , Björn Tackmann , Luca Zanolini

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

In the Bitcoin white paper, Nakamoto proposed a very simple Byzantine fault tolerant consensus algorithm that is also known as Nakamoto consensus. Despite its simplicity, some existing analysis of Nakamoto consensus appears to be long and…

Cryptography and Security · Computer Science 2019-10-22 Jianyu Niu , Chen Feng , Hoang Dau , Yu-Chih Huang , Jingge Zhu

Much of the past work on asynchronous approximate Byzantine consensus has assumed scalar inputs at the nodes [4, 8]. Recent work has yielded approximate Byzantine consensus algorithms for the case when the input at each node is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-10 Lewis Tseng , Nitin Vaidya

The surging interest in blockchain technology has revitalized the search for effective Byzantine consensus schemes. In particular, the blockchain community has been looking for ways to effectively integrate traditional Byzantine…

Cryptography and Security · Computer Science 2018-11-15 Jian Liu , Wenting Li , Ghassan O. Karame , N. Asokan

Byzantine fault tolerance (BFT) has been extensively studied in distributed trustless systems to guarantee system's functioning when up to 1/3 Byzantine processes exist. Despite a plethora of previous work in BFT systems, they are mainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-11 Quan Nguyen , Andre Cronje

Traditional techniques for handling Byzantine failures are expensive: digital signatures are too costly, while using $3f{+}1$ replicas is uneconomical ($f$ denotes the maximum number of Byzantine processes). We seek algorithms that reduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-04 M. K. Aguilera , N. Ben-David , R. Guerraoui , D. Papuc , A. Xygkis , I. Zablotchi

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

We develop deterministic algorithms for the problems of consensus, gossiping and checkpointing with nodes prone to failing. Distributed systems are modeled as synchronous complete networks. Failures are represented either as crashes or…

Data Structures and Algorithms · Computer Science 2023-05-22 Bogdan S. Chlebus , Dariusz R. Kowalski , Jan Olkowski

To implement a blockchain, the trend is now to integrate a non-trivial Byzantine fault tolerant consensus algorithm instead of the seminal idea of waiting to receive blocks to decide upon the longest branch. After a decade of existence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Pierre Tholoniat , Vincent Gramoli

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

We provide a new protocol for Validated Asynchronous Byzantine Agreement. Validated (multi-valued) Asynchronous Byzantine Agreement is a key building block in constructing Atomic Broadcast and fault-tolerant state machine replication in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ittai Abraham , Dahlia Malkhi , Alexander Spiegelman

Clock synchronization is a very fundamental task in distributed system. It thus makes sense to require an underlying clock synchronization mechanism to be highly fault-tolerant. A self-stabilizing algorithm seeks to attain synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ariel Daliot , Danny Dolev , Hanna Parnas

Byzantine Reliable Broadcast (BRB) is a fundamental primitive in distributed computing and cryptographic systems. Reducing the communication complexity of BRB protocols remains an important research direction. However, most work focuses on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Michael Yiqing Hu , Alvin Hong Yao Yan , Jialin Li

The success of blockchains has sparked interest in large-scale deployments of Byzantine fault tolerant (BFT) consensus protocols over wide area networks. A central feature of such networks is variable communication bandwidth across nodes…

Networking and Internet Architecture · Computer Science 2024-06-21 Lei Yang , Seo Jin Park , Mohammad Alizadeh , Sreeram Kannan , David Tse

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
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