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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…

Cryptography and Security · Computer Science 2024-07-25 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.…

Cryptography and Security · Computer Science 2022-08-30 Dongning Guo , Ling Ren

Bitcoin is a peer-to-peer electronic cash system invented by Nakamoto in 2008. While it has attracted much research interest, its exact latency and security properties remain open. Existing analyses provide security and latency (or…

Cryptography and Security · Computer Science 2021-09-08 Jing Li , Ling Ren , Dongning Guo

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…

Cryptography and Security · Computer Science 2025-10-22 Mustafa Doger , Sennur Ulukus

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

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

In the Bitcoin white paper, Nakamoto proposed a very simple Byzantine fault tolerant consensus algorithm that is also known as Nakamoto consensus. Despite its simplicity, some existing analysis of Nakamoto consensus appears to be long and…

Cryptography and Security · Computer Science 2019-10-22 Jianyu Niu , Chen Feng , Hoang Dau , Yu-Chih Huang , Jingge Zhu

Distributed ledgers are common in the industry. Some of them can use blockchains as their underlying infrastructure. A blockchain requires participants to agree on its contents. This can be achieved via a consensus protocol, and several BFT…

Performance · Computer Science 2024-11-13 J. D. Chan , Y. C. Tay , Brian R. Z. Yen

Blockchain systems run consensus rules as code to agree on the state of the distributed ledger and secure the network. Changing these rules can be risky and challenging. In addition, it can often be controversial and take much effort to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-15 Jakob Svennevik Notland , Mariusz Nowostawski , Jingyue Li

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

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…

Cryptography and Security · Computer Science 2021-10-12 Qing Zhang , Xueping Gong , Huizhong Li , Hao Wu , Jiheng Zhang

This paper studies proof-of-work Nakamoto consensus protocols under bounded network delays, settling two long-standing questions in blockchain security: What is the most effective attack on block safety under a given block confirmation…

Cryptography and Security · Computer Science 2025-09-16 Shu-Jie Cao , Dongning Guo

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 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

Consensus protocols are currently the bottlenecks that prevent blockchain systems from scaling. However, we argue that transaction execution is also important to the performance and security of blockchains. In other words, there are ample…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-15 Daniël Reijsbergen , Tien Tuan Anh Dinh

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 Nakamoto consensus protocol underlying the Bitcoin blockchain uses proof of work as a voting mechanism. Honest miners who contribute hashing power towards securing the chain try to extend the longest chain they are aware of. Despite its…

Cryptography and Security · Computer Science 2025-05-22 Mirza Ahad Baig , Krzysztof Pietrzak

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…

Cryptography and Security · Computer Science 2024-12-05 Shu-Jie Cao , Dongning Guo

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

Consensus is unnecessary when the truth is available. In this paper, we present a new perspective of rebuilding the blockchain without consensus. When the consensus phase is eliminated from a blockchain, transactions could be canonized…

Networking and Internet Architecture · Computer Science 2022-09-29 Qing Wang , Jian Zheng , Huawei Huang , Jianru Lin
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