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In contrast to proof-of-work replication, Byzantine quorum systems maintain consistency across replicas with higher throughput modest energy consumption, and deterministic liveness guarantees. If complemented with heterogeneous trust and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-26 Xiao Li , Mohsen Lesani

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

Replicated services accessed via {\em quorums} enable each access to be performed at only a subset (quorum) of the servers, and achieve consistency across accesses by requiring any two quorums to intersect. Recently, $b$-masking quorum…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Dahlia Malkhi , Michael Reiter , Avishai Wool

Trust is the basis of any distributed, fault-tolerant, or secure system. A trust assumption specifies the failures that a system, such as a blockchain network, can tolerate and determines the conditions under which it operates correctly. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-26 Orestis Alpos , Christian Cachin , Luca Zanolini

Quorum systems are a common way to formalize failure assumptions in distributed systems. Traditionally, these assumptions are shared by all involved processes. More recently, systems have emerged which allow processes some freedom in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-17 Michael Senn , Christian Cachin

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

Quorum systems are a powerful mechanism for ensuring the consistency of replicated data. Production systems usually opt for majority quorums due to their simplicity and fault tolerance, but majority quorum systems provide poor throughput…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-12 Michael Whittaker , Aleksey Charapko , Joseph M. Hellerstein , Heidi Howard , Ion Stoica

In distributed systems with asymmetric trust, each participant is free to make its own trust assumptions about others, captured by an asymmetric quorum system. This contrasts with ordinary, symmetric quorum systems and threshold models,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-22 Ignacio Amores-Sesar , Christian Cachin , Simon Holmgaard Kamp , Juan Villacis

We consider the problem of supporting payment transactions in an asynchronous system in which up to $f$ validators are subject to Byzantine failures under the control of an adaptive adversary. It was shown that this problem can be solved…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-25 Rida A. Bazzi , Sara Tucci-Piergiovanni

Some of the recent blockchain proposals, such as Stellar and Ripple, use quorum-like structures typical for Byzantine consensus while allowing for open membership. This is achieved by constructing quorums in a decentralised way: each…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-12 Álvaro García-Pérez , Alexey Gotsman

Existing Byzantine fault-tolerant (BFT) consensus protocols address only threshold failures, where the participating nodes fail independently of each other, each one fails equally likely, and the protocol's guarantees follow from a simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Orestis Alpos , Christian Cachin

A Federated Byzantine Agreement System is defined as a pair $(V, Q)$ comprising a set of nodes $V$ and a quorum function $Q: V \mapsto 2^{2^{V}} \setminus \{\emptyset\}$ specifying for each node a set of subsets of nodes, called quorum…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-19 Łukasz Lachowski

Digital money can be implemented efficiently by avoiding consensus. However, no-consensus implementations have drawbacks, as they cannot support smart contracts, and (even more fundamentally) they cannot deal with conflicting transactions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-05 Jakub Sliwinski , Yann Vonlanthen , Roger Wattenhofer

Distributed algorithms solving agreement problems like consensus or state machine replication are essential components of modern fault-tolerant distributed services. They are also notoriously hard to understand and reason about. Their…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-25 Berk Cirisci , Constantin Enea , Suha Orhun Mutluergil

To improve the overall efficiency and reliability of Byzantine protocols in large sparse networks, we propose a new system assumption for developing multi-scale fault-tolerant systems, with which several kinds of multi-scale Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang , Yulong Zhan

Byzantine fault-tolerant (BFT) consensus algorithms are at the core of providing safety and liveness guarantees for distributed systems that must operate in the presence of arbitrary failures. Recently, numerous new BFT algorithms have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-06 Gengrui Zhang , Fei Pan , Yunhao Mao , Sofia Tijanic , Michael Dang'ana , Shashank Motepalli , Shiquan Zhang , Hans-Arno Jacobsen

Quorum is a permissioned blockchain platform built from the Ethereum codebase with adaptations to make it a permissioned consortium platform. It is one of the key contenders in the permissioned ledger space. Quorum supports confidentiality…

Cryptography and Security · Computer Science 2018-09-11 Arati Baliga , I Subhod , Pandurang Kamat , Siddhartha Chatterjee

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

Federated Byzantine Agreement Systems (FBASs) are a fascinating new paradigm in the context of consensus protocols. Originally proposed for powering the Stellar payment network, FBASs can instantiate Byzantine quorum systems without…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-19 Martin Florian , Sebastian Henningsen , Charmaine Ndolo , Björn Scheuermann

This paper introduces Carbon, a high-throughput system enabling asynchronous (safe) and consensus-free (efficient) payments and votes within a dynamic set of clients. Carbon is operated by a dynamic set of validators that may be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-16 Martina Camaioni , Rachid Guerraoui , Jovan Komatovic , Matteo Monti , Pierre-Louis Roman , Manuel Vidigueira , Gauthier Voron
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