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The cost of Byzantine Fault Tolerant (BFT) storage is the main concern preventing its adoption in practice. This cost stems from the need to maintain at least 3t+1 replicas in different storage servers in the asynchronous model, so that t…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-14 Christian Cachin , Dan Dobre , Marko Vukolic

Byzantine State Machine Replication (SMR) is a long studied topic that received increasing attention recently with the advent of blockchains as companies are trying to scale them to hundreds of nodes. Byzantine SMRs try to increase…

Cryptography and Security · Computer Science 2020-06-15 Gauthier Voron , Vincent Gramoli

We present Kudzu, a high-throughput atomic broadcast protocol with an integrated fast path. Our contribution is based on the combination of two lines of work. Firstly, our protocol achieves finality in just two rounds of communication if…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Victor Shoup , Jakub Sliwinski , Yann Vonlanthen

We introduce Zef, the first Byzantine-Fault Tolerant (BFT) protocol to support payments in anonymous digital coins at arbitrary scale. Zef follows the communication and security model of FastPay: both protocols are asynchronous,…

Cryptography and Security · Computer Science 2022-03-10 Mathieu Baudet , Alberto Sonnino , Mahimna Kelkar , George Danezis

Existing permissioned blockchains often rely on coordination-based consensus protocols to ensure the safe execution of applications in a Byzantine environment. Furthermore, these protocols serialize the transactions by ordering them into a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-25 Pezhman Nasirifard , Ruben Mayer , Hans-Arno Jacobsen

Most state machine replication protocols are either based on the 40-years-old Byzantine Fault Tolerance (BFT) theory or the more recent Nakamoto's longest chain design. Longest chain protocols, designed originally in the Proof-of-Work (PoW)…

Cryptography and Security · Computer Science 2020-11-24 Songze Li , David Tse

Blockchain systems benefit from lessons in prior art such as fault tolerance, distributed systems, peer-to-peer systems, and game theory. In this paper we argue that blockchain algorithms should tolerate both rational (self-interested)…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-05 Jean-Philippe Martin , Eunjin , Jung

Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

The accelerated digitalisation of society along with technological evolution have extended the geographical span of cyber-physical systems. Two main threats have made the reliable and real-time control of these systems challenging: (i)…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-19 David Kozhaya , Jeremie Decouchant , Vincent Rahli , Paulo Esteves-Verissimo

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

Most methods for Byzantine fault tolerance (BFT) in the partial synchrony setting divide the local state of the nodes into views, and the transition from one view to the next dictates a leader change. In order to provide liveness, all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-07 Oded Naor , Mathieu Baudet , Dahlia Malkhi , Alexander Spiegelman

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

Byzantine broadcast (BB) and Byzantine agreement (BA) are two most fundamental problems and essential building blocks in distributed computing, and improving their efficiency is of interest to both theoreticians and practitioners. In this…

Cryptography and Security · Computer Science 2020-10-07 Kartik Nayak , Ling Ren , Elaine Shi , Nitin H. Vaidya , Zhuolun Xiang

Byzantine general problem is the core problem of the consensus algorithm, and many protocols are proposed recently to improve the decentralization level, the performance and the security of the blockchain. There are two challenging issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Tzu-Wei Chao , Hao Chung , Po-Chun Kuo

Transaction ordering attacks extract billions of dollars annually from decentralized finance users in the form of Maximal Extractable Value (MEV). Byzantine Fault-Tolerant (BFT) consensus protocols guarantee total order but place no…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-25 Marko Putnik , Jérémie Decouchant

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

Ensuring that an AI system behaves reliably and as intended, especially in the presence of unexpected faults or adversarial conditions, is a complex challenge. Inspired by the field of Byzantine Fault Tolerance (BFT) from distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 John deVadoss , Matthias Artzt

Partially synchronous Byzantine consensus protocols typically structure their execution into a sequence of views, each with a designated leader process. The key to guaranteeing liveness in these protocols is to ensure that all correct…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-11 Manuel Bravo , Gregory Chockler , Alexey Gotsman

The recent surge of blockchain systems has renewed the interest in traditional Byzantine fault-tolerant consensus protocols. Many such consensus protocols have a primary-backup design in which an assigned replica, the primary, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-07 Suyash Gupta , Jelle Hellings , Mohammad Sadoghi

Decentralized learning has gained great popularity to improve learning efficiency and preserve data privacy. Each computing node makes equal contribution to collaboratively learn a Deep Learning model. The elimination of centralized…

Machine Learning · Computer Science 2021-10-22 Shangwei Guo , Tianwei Zhang , Han Yu , Xiaofei Xie , Lei Ma , Tao Xiang , Yang Liu
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