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Formal analyses of blockchain protocols have received much attention recently. Consistency results of Nakamoto's blockchain protocol are often expressed in a quantity $c$, which denotes the expected number of network delays before some…

Cryptography and Security · Computer Science 2020-03-16 Jun Zhao , Jing Tang , Li Zengxiang , Huaxiong Wang , Kwok-Yan Lam , Kaiping Xue

Nakamoto consensus underlies the security of many of the world's largest cryptocurrencies, such as Bitcoin and Ethereum. Common lore is that Nakamoto consensus only achieves consistency and liveness under a regime where the difficulty of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Lili Su , Quanquan C. Liu , Neha Narula

Extensive research on Nakamoto-style consensus protocols has shown that network delays degrade the security of these protocols. Established results indicate that, perhaps surprisingly, maximal security is achieved when the network is as…

Cryptography and Security · Computer Science 2024-04-16 Jannik Albrecht , Sebastien Andreina , Frederik Armknecht , Ghassan Karame , Giorgia Marson , Julian Willingmann

Since the inception of Bitcoin, cryptocurrencies and the underlying blockchain technology have attracted an increasing interest from both academia and industry. Among various core components, consensus protocol is the defining technology…

Cryptography and Security · Computer Science 2020-02-21 Yang Xiao , Ning Zhang , Wenjing Lou , Y. Thomas Hou

Blockchain is a novel technology that is rising a lot of interest in the industrial and re- search sectors because its properties of decentralisation, immutability and data integrity. Initially, the underlying consensus mechanism has been…

Cryptography and Security · Computer Science 2018-05-10 Stefano De Angelis

Nakamoto's seminal work gave rise to permissionless blockchains -- as well as a wide range of proposals to mitigate their performance shortcomings. Despite substantial throughput and energy efficiency achievements, most proposals only bring…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-23 Paulo Silva , Miguel Matos , João Barreto

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

Initiated from Nakamoto's Bitcoin system, blockchain technology has demonstrated great capability of building secure consensus among decentralized parties at Internet-scale, i.e., without relying on any centralized trusted party. Nowadays,…

Cryptography and Security · Computer Science 2020-06-02 Chenxing Li , Fan Long , Guang Yang

Quantum blockchains provide inherent resilience against quantum adversaries and represent a promising alternative to classical blockchain systems in the quantum era. However, existing quantum blockchain architectures largely depend on…

Quantum Physics · Physics 2025-10-14 Chong-Qiang Ye , Heng-Ji Li , Jian Li , Xiao-Yu Chen

Consensus protocols play a pivotal role to balance security and efficiency in blockchain systems. In this paper, we propose an evaluation framework for blockchain consensus protocols termed as AlphaBlock. In this framework, we compare the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-28 Haitao Xiang , Zhijie Ren , Ziheng Zhou , Ning Wang , Hanqing Jin

A blockchain is a distributed ledger for recording transactions, maintained by many nodes without central authority through a distributed cryptographic protocol. All nodes validate the information to be appended to the blockchain, and a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-10 Christian Cachin , Marko Vukolić

Determining the optimal block size is crucial for achieving high throughput in blockchain systems. Many studies have focused on tuning various components, such as databases, network bandwidth, and consensus mechanisms. However, the impact…

Cryptography and Security · Computer Science 2025-09-04 Narges Dadkhah , Somayeh Mohammadi , Gerhard Wunder

Recently, the blockchain technique was put in the spotlight as it introduced a systematic approach for multiple parties to reach consensus without needing trust. However, the application of this technique in practice is severely restricted…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-17 Zhijie Ren , Kelong Cong , Johan Pouwelse , Zekeriya Erkin

Permissioned Blockchains are increasingly considered in enterprise use-cases, many of which do not require geo-distribution, or even disallow it due to legislation. Examples include country-wide networks, such as Alastria, or those deployed…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-27 Manuel Bravo , Zsolt István , Man-Kit Sit

It has been known for some time that the Nakamoto consensus as implemented in the Bitcoin protocol is not totally aligned with the individual interests of the participants. More precisely, it has been shown that block withholding mining…

Cryptography and Security · Computer Science 2025-02-07 Cyril Grunspan , Ricardo Perez-Marco

We investigate the time to consensus in Nakamoto blockchains. Specifically, we consider two competing growth processes, labeled \emph{honest} and \emph{adversarial}, and determine the time after which the honest process permananetly exceeds…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Partha S. Dey , Aditya S. Gopalan , Vijay G. Subramanian

Most of the Blockchain permissioned systems employ Byzantine fault-tolerance (BFT) consensus protocols to ensure that honest validators agree on the order for appending entries to their ledgers. In this paper, we study the performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-13 Salem Alqahtani , Murat Demirbas

The success of blockchain as the underlying technology for cryptocurrencies has opened up possibilities for its use in other application domains as well. The main advantages of blockchain for its potential use in other domains are its…

Networking and Internet Architecture · Computer Science 2019-06-21 Mehrdad Salimitari , Mainak Chatterjee

Blockchain consensus is a state whereby each node in a network agrees on the current state of the blockchain. Existing protocols achieve consensus via a contest or voting procedure to select one node as a dictator to propose new blocks.…

Theoretical Economics · Economics 2022-06-22 Joshua S. Gans , Richard Holden

Nakamoto consensus has been incredibly influential in enabling robust blockchain systems, and one of its components is the so-called heaviest chain rule (HCR). Within this rule, the calculation of the weight of the chain tip is performed by…

Cryptography and Security · Computer Science 2023-03-21 Karl Kreder , Shreekara Shastry
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