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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

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

We consider the problem of varying the security of blockchain transactions according to their importance. This adaptive security is achieved by using variable size consensus committees. To improve performance, such committees function…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-01 Shishir Rai , Kendric Hood , Mikhail Nesterenko , Gokarna Sharma

In this paper, we present the most extensive evaluation of blockchain system to date. To achieve scalability across servers in more than 10 countries located on 4 different continents, we drastically revisited Byzantine fault tolerant…

Cryptography and Security · Computer Science 2019-01-01 Tyler Crain , Christopher Natoli , Vincent Gramoli

Self-stabilization is a versatile approach to fault-tolerance since it permits a distributed system to recover from any transient fault that arbitrarily corrupts the contents of all memories in the system. Byzantine tolerance is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-31 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

Asynchronous Byzantine Fault Tolerant (BFT) consensus protocols have garnered significant attention with the rise of blockchain technology. A typical asynchronous protocol is designed by executing sequential instances of the Asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-18 Xiaohai Dai , Chaozheng Ding , Wei Li , Jiang Xiao , Bolin Zhang , Chen Yu , Albert Y. Zomaya , Hai Jin

Blockchain technologies originate from cryptocurrencies. Thus, most blockchain technologies assume an environment with a fast and stable network. However, in some blockchain-based systems, e.g., supply chain management (SCM) systems, some…

The increasing application and deployment of blockchain in various services necessitates the assurance of the effectiveness of PBFT (Practical Byzantine Fault Tolerance) consensus service. However, the performance of PBFT consensus service…

Software Engineering · Computer Science 2025-04-15 Yujing Cai , Yukun Meng , Weimeng Wang , Xuanming Zhang , Xiaolin Chang

Blockchain promises to make online services more fault tolerant due to their inherent distributed nature. Their ability to execute arbitrary programs in different geo-distributed regions and on diverse operating systems make them an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-23 Vincent Gramoli , Rachid Guerraoui , Andrei Lebedev , Gauthier Voron

Threshold cryptography is essential for many blockchain protocols. For example, many protocols rely on threshold common coin to implement asynchronous consensus, leader elections, and provide support for randomized applications. Similarly,…

Cryptography and Security · Computer Science 2025-05-26 Zhuolun Xiang , Sourav Das , Zekun Li , Zhoujun Ma , Alexander Spiegelman

In recent years, blockchain technology has received unparalleled attention from academia, industry, and governments all around the world. It is considered a technological breakthrough anticipated to disrupt several application domains. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-10 Md Sadek Ferdous , Mohammad Jabed Morshed Chowdhury , Mohammad A. Hoque , Alan Colman

Byzantine fault-tolerant consensus protocols have provable safety and liveness properties for static validator sets. In practice, however, the validator set changes over time, potentially eroding the protocol's security guarantees. For…

Theoretical Economics · Economics 2024-06-12 Michael Neuder , Mallesh Pai , Max Resnick

Detecting and handling network partitions is a fundamental requirement of distributed systems. Although existing partition detection methods in arbitrary graphs tolerate unreliable networks, they either assume that all nodes are correct or…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Yérom-David Bromberg , Jérémie Decouchant , Manon Sourisseau , François Taïani

Existing blockchain systems scale poorly because of their distributed consensus protocols. Current attempts at improving blockchain scalability are limited to cryptocurrency. Scaling blockchain systems under general workloads (i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-13 Hung Dang , Tien Tuan Anh Dinh , Dumitrel Loghin , Ee-Chien Chang , Qian Lin , Beng Chin Ooi

In this paper we analyse the correctness of Istanbul BFT (IBFT), which is a Byzantine-fault-tolerant (BFT) proof-of-authority (PoA) blockchain consensus protocol that ensures immediate finality. We show that the IBFT protocol does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-28 Roberto Saltini , David Hyland-Wood

Motivated, in part, by the rise of permissionless systems such as Bitcoin where arbitrary nodes (whose identities are not known apriori) can join and leave at will, we extend established research in scalable Byzantine agreement to a more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-26 John Augustine , Valerie King , Anisur R. Molla , Gopal Pandurangan , Jared Saia

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 2024-07-23 Diogo S. Antunes , Afonso N. Oliveira , André Breda , Matheus Guilherme Franco , Henrique Moniz , Rodrigo Rodrigues

Population protocols model information spreading and computation in network systems where pairwise node exchanges are determined by an external random scheduler and nodes have small memory. Most of the population protocols in the literature…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-06 Costas Busch , Dariusz R. Kowalski

The sharing economy is centralizing services, leading to misuses of the Internet. We can list growing damages of data hacks, global outages and even the use of data to manipulate their owners. Unfortunately, there is no decentralized web…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-24 Deepal Tennakoon , Yiding Hua , Vincent Gramoli

The security of blockchain systems is fundamentally based on the decentralized consensus in which the majority of parties behave honestly, and the content verification process is essential to maintaining the robustness of blockchain…

Cryptography and Security · Computer Science 2025-08-21 Zishuo Zhao , Xi Chen , Yuan Zhou