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相关论文: How to Beat Nakamoto in the Race

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This paper investigates the fundamental trade-offs between block safety, confirmation latency, and transaction throughput of proof-of-work (PoW) longest-chain fork-choice protocols, also known as PoW Nakamoto consensus. New upper and lower…

密码学与安全 · 计算机科学 2024-12-05 Shu-Jie Cao , Dongning Guo

We study security-latency bounds for Nakamoto consensus, i.e., how secure a block is after it becomes $k$-deep in the chain. We improve the state-of-the-art bounds by analyzing the race between adversarial and honest chains in three…

密码学与安全 · 计算机科学 2024-07-25 Mustafa Doger , Sennur Ulukus

We analyze how secure a block is after the block becomes $k$-deep, i.e., security-latency, for Nakamoto consensus under an exponential network delay model. We provide the fault tolerance and extensive bounds on safety violation…

密码学与安全 · 计算机科学 2025-10-22 Mustafa Doger , Sennur Ulukus

Simple closed-form upper and lower bounds are developed for the security of the Nakamoto consensus as a function of the confirmation depth, the honest and adversarial block mining rates, and an upper bound on the block propagation delay.…

密码学与安全 · 计算机科学 2022-08-30 Dongning Guo , Ling Ren

For Nakamoto's longest-chain consensus protocol, whose proof-of-work (PoW) and proof-of-stake (PoS) variants power major blockchains such as Bitcoin and Cardano, we revisit the classic problem of the security-performance tradeoff: Given a…

密码学与安全 · 计算机科学 2024-06-26 Lucianna Kiffer , Joachim Neu , Srivatsan Sridhar , Aviv Zohar , David Tse

Traditional security models for Nakamoto-style blockchains assume instantaneous synchronization among malicious nodes, which overestimate adversarial coordination capability. We revisit these existing models and propose two more realistic…

密码学与安全 · 计算机科学 2026-01-06 Junjie Hu

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…

密码学与安全 · 计算机科学 2024-04-16 Jannik Albrecht , Sebastien Andreina , Frederik Armknecht , Ghassan Karame , Giorgia Marson , Julian Willingmann

With the advancement of blockchain technology, chained Byzantine Fault Tolerant (BFT) protocols have been increasingly adopted in practical systems, making their performance a crucial aspect of the study. In this paper, we introduce a…

分布式、并行与集群计算 · 计算机科学 2025-01-08 Yining Tang , Qihang Luo , Runchao Han , Jianyu Niu , Chen Feng , Yinqian Zhang

Nakamoto invented the longest chain protocol, and claimed its security by analyzing the private double-spend attack, a race between the adversary and the honest nodes to grow a longer chain. But is it the worst attack? We answer the…

密码学与安全 · 计算机科学 2020-09-01 Amir Dembo , Sreeram Kannan , Ertem Nusret Tas , David Tse , Pramod Viswanath , Xuechao Wang , Ofer Zeitouni

This paper presents a new consensus protocol based on verifiable delay function. First, we introduce the concept of verifiable delay puzzle (VDP), which resembles the hashing puzzle used in the PoW mechanism but can only be solved…

分布式、并行与集群计算 · 计算机科学 2021-07-21 Jieyi Long

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…

密码学与安全 · 计算机科学 2020-03-16 Jun Zhao , Jing Tang , Li Zengxiang , Huaxiong Wang , Kwok-Yan Lam , Kaiping Xue

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…

分布式、并行与集群计算 · 计算机科学 2025-11-18 Partha S. Dey , Aditya S. Gopalan , Vijay G. Subramanian

The fundamental attack against blockchain systems is the double-spend attack. In this tutorial, we provide a very detailed explanation of just one section of Satoshi Nakamoto's original paper where the attack's probability of success is…

密码学与安全 · 计算机科学 2017-01-17 A. Pinar Ozisik , Brian Neil Levine

The Nakamoto longest chain protocol is remarkably simple and has been proven to provide security against any adversary with less than 50% of the total hashing power. Proof-of-stake (PoS) protocols are an energy efficient alternative;…

密码学与安全 · 计算机科学 2020-02-25 Vivek Bagaria , Amir Dembo , Sreeram Kannan , Sewoong Oh , David Tse , Pramod Viswanath , Xuechao Wang , Ofer Zeitouni

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…

分布式、并行与集群计算 · 计算机科学 2021-08-24 Lili Su , Quanquan C. Liu , Neha Narula

In blockchain networks adopting the proof-of-work schemes, the monetary incentive is introduced by the Nakamoto consensus protocol to guide the behaviors of the full nodes (i.e., block miners) in the process of maintaining the consensus…

计算机科学与博弈论 · 计算机科学 2018-01-01 Xiaojun Liu , Wenbo Wang , Dusit Niyato , Narisa Zhao , Ping Wang

Blockchains based on the celebrated Nakamoto consensus protocol have shown promise in several applications, including cryptocurrencies. However, these blockchains have inherent scalability limits caused by the protocol's consensus…

密码学与安全 · 计算机科学 2021-10-12 Qing Zhang , Xueping Gong , Huizhong Li , Hao Wu , Jiheng Zhang

This work applies reinforcement learning (RL) from the AI machine learning field to derive an optimal Bitcoin-like blockchain mining strategy without knowing the details of the blockchain network model. Previously, the most profitable…

密码学与安全 · 计算机科学 2021-01-07 Taotao Wang , Soung Chang Liew , Shengli Zhang

Fault-tolerant distributed systems move the trust in a single party to a majority of parties participating in the protocol. This makes blockchain based crypto-currencies possible: they allow parties to agree on a total order of transactions…

密码学与安全 · 计算机科学 2023-03-15 Søren Eller Thomsen , Bas Spitters

A proof of the security of the Bitcoin protocol is made rigorous, and simplified in certain parts. A computational model in which an adversary can delay transmission of blocks by time $\Delta$ is considered. The protocol is generalized to…

密码学与安全 · 计算机科学 2026-04-17 Christopher Blake , Chen Feng , Xuechao Wang , Qianyu Yu
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