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Proof of Work (PoW) blockchains burn a lot of energy. Proof-of-work algorithms are expensive by design and often only serve to compute blockchains. In some sense, carbon-based and non-carbon based regional electric power is fungible. So the…

Cryptography and Security · Computer Science 2024-04-09 Agron Gemajli , Shivam Patel , Phillip G. Bradford

Blockchain has many benefits including decentralization, availability, persistency, consistency, anonymity, auditability and accountability, and it also covers a wide spectrum of applications ranging from cryptocurrency, financial services,…

Computational Engineering, Finance, and Science · Computer Science 2018-10-02 Quan-Lin Li , Jing-Yu Ma , Yan-Xia Chang

The arisen of Bitcoin has led to much enthusiasm for blockchain research and block mining, and the extensive existence of mining pools helps its participants (i.e., miners) gain reward more frequently. Recently, the mining pools are proved…

Computer Science and Game Theory · Computer Science 2020-08-18 Zhihuai Chen , Bo Li , Xiaohan Shan , Xiaoming Sun , Jialin Zhang

We propose a blockchain architecture in which mining requires a quantum computer. The consensus mechanism is based on proof of quantum work, a quantum-enhanced alternative to traditional proof of work that leverages quantum supremacy to…

Tendermint-core blockchains (e.g. Cosmos) are considered today one of the most viable alternatives for the highly energy consuming proof-of-work blockchains such as Bitcoin and Ethereum. Their particularity is that they aim at offering…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-14 Yackolley Amoussou-Guenou , Antonella Del Pozzo , Maria Potop-Butucaru , Sara Tucci-Piergiovanni

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

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

Bitcoin blockchain uses hash-based Proof-of-Work (PoW) that prevents unwanted participants from hogging the network resources. Anyone entering the mining game has to prove that they have expended a specific amount of computational power.…

Cryptography and Security · Computer Science 2025-04-22 Diptendu Chatterjee , Avishek Majumder , Subhra Mazumdar

Consider a set of parties invited to execute a protocol $\Pi$. The protocol will incur some cost to run while in the end (or at regular intervals), it will populate and update local tables that assign (virtual) rewards to participants. Each…

Computer Science and Game Theory · Computer Science 2020-01-03 Aggelos Kiayias , Aikaterini-Panagiota Stouka

Bitcoin is a decentralised digital currency that serves as an alternative to existing transaction systems based on an external central authority for security. Although Bitcoin has many desirable properties, one of its fundamental…

Cryptography and Security · Computer Science 2019-10-07 Georgios Birmpas , Elias Koutsoupias , Philip Lazos , Francisco J. Marmolejo-Cossío

Understanding the strategic behavior of miners in a blockchain is of great importance for its proper operation. A common model for mining games considers an infinite time horizon, with players optimizing asymptotic average objectives.…

Computer Science and Game Theory · Computer Science 2021-07-21 Alejandro Jofré , Angel Pardo , David Salas , Victor Verdugo , José Verschae

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…

Cryptography and Security · Computer Science 2026-04-17 Christopher Blake , Chen Feng , Xuechao Wang , Qianyu Yu

As distributed ledgers, blockchains run consensus protocols which trade capacity for consistency, especially in non-ideal networks with incomplete connectivity and erroneous links. Existing studies on the tradeoff between capacity and…

Cryptography and Security · Computer Science 2021-06-29 Xu Wang , Wei Ni , Xuan Zha , Guangsheng Yu , Ren Ping Liu , Nektarios Georgalas , Andrew Reeves

An important feature of Proof-of-Work (PoW) blockchains is full dynamic availability, allowing miners to go online and offline while requiring only 50% of the online miners to be honest. Existing Proof-of-stake (PoS), Proof-of-Space and…

Cryptography and Security · Computer Science 2021-02-22 Soubhik Deb , Sreeram Kannan , David Tse

The emergence of more and more blockchain solutions with innovative approaches to optimising performance, scalability, privacy and governance complicates performance analysis. Reasons for the difficulty of benchmarking blockchains include,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-28 Frank Christian Geyer , Hans-Arno Jacobsen , Ruben Mayer , Peter Mandl

Forks in the Bitcoin network result from the natural competition in the blockchain's Proof-of-Work consensus protocol. Their frequency is a critical indicator for the efficiency of a distributed ledger as they can contribute to resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Paolo Barucca , Carlo Campajola , Jiahua Xu

In this paper, we represent the problem of selecting miners within a blockchain-based system as a subset selection problem. We formulate the problem of minimising blockchain energy consumption as an optimisation problem with two conflicting…

Neural and Evolutionary Computing · Computer Science 2021-06-23 Akram Alofi , Mahmoud A. Bokhari , Robert Hendley , Rami Bahsoon

We study efficiency in a proof-of-work blockchain with non-zero latencies, focusing in particular on the (inequality in) individual miners' efficiencies. Prior work attributed differences in miners' efficiencies mostly to attacks, but we…

Cryptography and Security · Computer Science 2021-06-08 Mohamed Alzayat , Johnnatan Messias , Balakrishnan Chandrasekaran , Krishna P. Gummadi , Patrick Loiseau

Due to the increasing interest in blockchain technology for fostering secure, auditable, decentralized applications, a set of challenges associated with this technology need to be addressed. In this letter, we focus on the delay associated…

Networking and Internet Architecture · Computer Science 2022-02-04 Francesc Wilhelmi , Sergio Barrachina-Muñoz , Paolo Dini

Most current assessments use ex post proxies that miss uncertainty and fail to consistently capture the rapid change in bitcoin mining. We introduce a unified, ex ante statistical model that derives expected return, downside risk, and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Yuting Cai , Ruthav Sadali , Korok Ray , Chao Tian