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Although proof of work (PoW) consensus dominates the current blockchain-based systems mostly, it has always been criticized for the uneconomic brute-force calculation. As alternatives, energy-conservation and energy-recycling mechanisms…

Cryptography and Security · Computer Science 2022-11-03 Shengling Wang , Lina Shi , Hongwei Shi , Yifang Zhang , Qin Hu , Xiuzhen Cheng

Blockchain has become a popular decentralized paradigm for various applications in the zero-trust environment. The core of the blockchain is the consensus protocol, which establishes consensus among all the participants. PoW (Proof-of-Work)…

Cryptography and Security · Computer Science 2023-08-30 Peiran Wang

Multi-party data management and blockchain systems require data sharing among participants. To provide resilient and consistent data sharing, transactions engines rely on Byzantine FaultTolerant consensus (BFT), which enables operations…

Databases · Computer Science 2021-02-24 Suyash Gupta , Jelle Hellings , Sajjad Rahnama , Mohammad Sadoghi

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…

Cryptography and Security · Computer Science 2017-01-17 A. Pinar Ozisik , Brian Neil Levine

Bitcoin's Proof of Work (PoW) mechanism, while central to achieving decentralized consensus, has long been criticized for excessive energy use and hardware inefficiencies \cite{devries2018bitcoin, truby2018decarbonizing}. This paper…

Cryptography and Security · Computer Science 2025-08-19 Mohammad Ishzaz Asif Rafid , Morsalin Sakib

Proof-of-Work~(PoW) based blockchains typically allocate only a tiny fraction (e.g., less than 1% for Ethereum) of the average interarrival time~($\mathbb{I}$) between blocks for validating transactions. A trivial increase in validation…

Cryptography and Security · Computer Science 2021-06-03 Sourav Das , Nitin Awathare , Ling Ren , Vinay Joseph Ribeiro , Umesh Bellur

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 concurrent blockchain systems rely heavily on the Proof-of-Work (PoW) or Proof-of-Stake (PoS) mechanisms for decentralized consensus and security assurance. However, the substantial energy expenditure stemming from computationally…

Cryptography and Security · Computer Science 2026-05-05 Zishuo Zhao , Zhixuan Fang , Xuechao Wang , Xi Chen , Hongxu Su , Haibo Xiao , Yuan Zhou

Nakamoto consensus are the most widely adopted decentralized consensus mechanism in cryptocurrency systems. Since it was proposed in 2008, many studies have focused on analyzing its security. Most of them focus on maximizing the profit of…

Cryptography and Security · Computer Science 2025-10-30 Junjie Hu , Sisi Duan

Following the design of more efficient blockchain consensus algorithms, the execution layer has emerged as the new performance bottleneck of blockchains, especially under high contention. Current parallel execution frameworks either rely on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 François Ezard , Can Umut Ileri , Jérémie Decouchant

Popular distributed ledger technology (DLT) systems using proof-of-work (PoW) for Sybil attack resistance have extreme energy requirements, drawing stern criticism from academia, businesses, and the media. DLT systems building on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Moritz Platt , Johannes Sedlmeir , Daniel Platt , Paolo Tasca , Jiahua Xu , Nikhil Vadgama , Juan Ignacio Ibañez

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…

Computer Science and Game Theory · Computer Science 2018-01-01 Xiaojun Liu , Wenbo Wang , Dusit Niyato , Narisa Zhao , Ping Wang

Proof of work (PoW), as the representative consensus protocol for blockchain, consumes enormous amounts of computation and energy to determine bookkeeping rights among miners but does not achieve any practical purposes. To address the…

Cryptography and Security · Computer Science 2022-11-01 Yuntao Wang , Haixia Peng , Zhou Su , Tom H Luan , Abderrahim Benslimane , Yuan Wu

To address the large amount of energy wasted by blockchains, we propose a decentralized consensus protocol for blockchains in which the computation can be used to search for good approximate solutions to any optimization problem. Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-03 Naoki Shibata

This letter deals with the problem of quantifying resiliency of Networked Control Systems (NCSs) to Denial-of-Service (DoS) attacks and variable network delays. Internal exponential stability and $\mathcal{L}_2$ external stability are…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Roberto Merco , Francesco Ferrante , Pierluigi Pisu

Proof-of-Work (PoW) is a popular consensus protocol used by Bitcoin since its inception. PoW has the well-known flaw of assigning all the reward to the single miner (or pool) that inserts the new block. This has the consequence of making…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-13 Danilo Bazzanella , Andrea Gangemi

We improve the fundamental security threshold of eventual consensus Proof-of-Stake (PoS) blockchain protocols under the longest-chain rule by showing, for the first time, the positive effect of rounds with concurrent honest leaders. Current…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Aggelos Kiayias , Saad Quader , Alexander Russell

Proof-of-Work (PoW) consensus mechanism is popular among current blockchain systems, which leads to an increasing concern about the tremendous waste of energy due to massive meaningless computation. To address this issue, we propose a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-15 Canhui Chen , Zerui Cheng , Shutong Qu , Zhixuan Fang

Nakamoto Consensus achieves a decentralized ledger through a single-chain blockchain, assuming a maximum network delay, which limits block generation speed, resulting in low throughput. \cite{pg2018} (PG) enhances throughput using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Haohan Li

While Proof-of-Work (PoW) is the most widely used consensus mechanism for blockchain, it received harsh criticism due to its massive waste of energy for meaningless hash calculation. Some studies have introduced Proof-of-Stake to address…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Weilin Zheng , Xu Chen , Zibin Zheng , Xiapu Luo , Jiahui Cui