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Modern networks assemble an ever growing number of nodes. However, it remains difficult to increase the number of channels per node, thus the maximal degree of the network may be bounded. This is typically the case in grid topology…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-18 Alexandre Maurer , Sébastien Tixeuil

The main risk-limiting ballot polling audit in use today, BRAVO, is designed for use when single ballots are drawn at random and a decision regarding whether to stop the audit or draw another ballot is taken after each ballot draw…

Cryptography and Security · Computer Science 2021-02-23 Filip Zagórski , Grant McClearn , Sarah Morin , Neal McBurnett , Poorvi L. Vora

In this paper we present an open source, fully asynchronous, leaderless algorithm for reaching consensus in the presence of Byzantine faults in an asynchronous network. We prove the algorithm's correctness provided that less than a third of…

Cryptography and Security · Computer Science 2019-07-29 Pierre Chevalier , Bartlomiej Kaminski , Fraser Hutchison , Qi Ma , Spandan Sharma , Andreas Fackler , William J Buchanan

This paper considers the problem of reliable broadcast in asynchronous authenticated systems, in which n processes communicate using signed messages and up to t processes may behave arbitrarily (Byzantine processes). In addition, for each…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-23 Timothé Albouy , Davide Frey , Michel Raynal , François Taïani

This paper introduces a family of leaderless Byzantine fault tolerance protocols, built around a metastable mechanism via network subsampling. These protocols provide a strong probabilistic safety guarantee in the presence of Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-25 Team Rocket , Maofan Yin , Kevin Sekniqi , Robbert van Renesse , Emin Gün Sirer

Aggregation rules are the cornerstone of distributed (or federated) learning in the presence of adversaries, under the so-called Byzantine threat model. They are also interesting mathematical objects from the point of view of robust mean…

Machine Learning · Statistics 2026-02-05 Gilles Bareilles , Wassim Bouaziz , Julien Fageot , El-Mahdi El-Mhamdi

ALGORAND is a celebrated public ledger technology. In this paper, we identify several design flaws of the ALGORAND protocol. In particular, we show that the claimed (proved) fork-free property is not true and several assumptions in ALGORAND…

Cryptography and Security · Computer Science 2020-02-18 Yongge Wang

We study the gathering problem requiring a team of mobile agents to gather at a single node in arbitrary networks. The team consists of $k$ agents with unique identifiers (IDs), and $f$ of them are weakly Byzantine agents, which behave…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Jion Hirose , Junya Nakamura , Fukuhito Ooshita , Michiko Inoue

Consensus is arguably one of the most important notions in distributed computing. Among asynchronous, randomized, and signature-free implementations, the protocols of Most\'efaoui et al. (PODC 2014 and JACM 2015) represent a landmark…

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

Nakamoto's consensus protocol works in a permissionless model and tolerates Byzantine failures, but only offers probabilistic agreement. Recently, the Sandglass protocol has shown such weaker guarantees are not a necessary consequence of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-12 Youer Pu , Ali Farahbakhsh , Lorenzo Alvisi , Ittay Eyal

We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then, we show that our protocol is optimal for a certain type of quantum…

Quantum Physics · Physics 2008-05-12 Andris Ambainis

The Dolev-Reischuk lower bound establishes that any deterministic Byzantine Agreement (BA) protocol for $n$ processors tolerating $f$ faults requires $\Omega(f^2+n)$ messages. But what exactly does this quadratic cost pay for? Even the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Andrew Lewis-Pye

Byzantine fault-tolerant (BFT) state machine replication (SMR) has been studied for over 30 years. Recently it has received more attention due to its application in permissioned blockchain systems. A sequence of research efforts focuses on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-03 Ittai Abraham , Kartik Nayak , Ling Ren , Zhuolun Xiang

We describe new lower bounds for randomized communication complexity and query complexity which we call the partition bounds. They are expressed as the optimum value of linear programs. For communication complexity we show that the…

Computational Complexity · Computer Science 2009-11-19 Rahul Jain , Hartmut Klauck

Byzantine agreement (BA) enables all honest nodes in a decentralized network to reach consensus. In the era of emerging quantum technologies, classical cryptography-based BA protocols face inherent security vulnerabilities. By leveraging…

Quantum Physics · Physics 2025-02-11 Yao Zhou , Feng - Yu Lu , Zhen - Qiang Yin , Shuang Wang , Wei Chen , Guang - Can Guo , Zheng - Fu Han

We study the risks of validator reuse across multiple services in a restaking protocol. We characterize the robust security of a restaking network as a function of the buffer between the costs and profits from attacks. For example, our…

Computer Science and Game Theory · Computer Science 2024-08-01 Naveen Durvasula , Tim Roughgarden

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

This paper studies distributed online learning under Byzantine attacks. The performance of an online learning algorithm is often characterized by (adversarial) regret, which evaluates the quality of one-step-ahead decision-making when an…

Machine Learning · Computer Science 2023-12-06 Xingrong Dong , Zhaoxian Wu , Qing Ling , Zhi Tian

In this paper, we establish tight lower bounds for Byzantine-robust distributed first-order stochastic optimization methods in both strongly convex and non-convex stochastic optimization. We reveal that when the distributed nodes have…

Optimization and Control · Mathematics 2025-03-21 Qiankun Shi , Jie Peng , Kun Yuan , Xiao Wang , Qing Ling

The growing interest in reliable multi-party applications has fostered widespread adoption of Byzantine Fault-Tolerant (BFT) consensus protocols. Existing BFT protocols need f more replicas than Paxos-style protocols to prevent equivocation…

Databases · Computer Science 2022-11-03 Suyash Gupta , Sajjad Rahnama , Shubham Pandey , Natacha Crooks , Mohammad Sadoghi