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Blockchain is an essentially distributed database recording all transactions or digital events among participating parties. Each transaction in the records is approved and verified by consensus of the participants in the system that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-07 Jie You

Proof-of-Work (PoW) consensus is traditionally analyzed under the assumption that all miners incur similar costs per unit of computational effort. In reality, costs vary due to factors such as regional electricity cost differences and…

Computer Science and Game Theory · Computer Science 2025-05-29 Yogev Bar-On , Ilan Komargodski , Omri Weinstein

Blockchains rely on a consensus among participants to achieve decentralization and security. However, reaching consensus in an online, digital world where identities are not tied to physical users is a challenging problem. Proof-of-work…

Cryptography and Security · Computer Science 2020-11-16 Hjalmar Turesson , Henry M. Kim , Marek Laskowski , Alexandra Roatis

One decade ago, Bitcoin was introduced, becoming the first cryptocurrency and establishing the concept of "blockchain" as a distributed ledger. As of today, there are many different implementations of cryptocurrencies working over a…

Neural and Evolutionary Computing · Computer Science 2019-07-26 Alejandro Baldominos , Yago Saez

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 revisit the longstanding open problem of implementing Nakamoto's proof-of-work (PoW) consensus based on a real-world computational task $T(x)$ (as opposed to artificial random hashing), in a truly permissionless setting where the miner…

Cryptography and Security · Computer Science 2025-11-14 Ilan Komargodski , Omri Weinstein

Blockchain applications that rely on the Proof-of-Work (PoW) have increasingly become energy inefficient with a staggering carbon footprint. In contrast, energy-efficient alternative consensus protocols such as Proof-of-Stake (PoS) may…

Cryptography and Security · Computer Science 2021-01-05 Muhammad Saad , Zhan Qin , Kui Ren , DaeHun Nyang , David Mohaisen

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

Proof-of-Work (PoW) blockchains have emerged as a robust and effective consensus mechanism in open environments, leading to widespread deployment with numerous cryptocurrency platforms and substantial investments. However, the commonly…

Cryptography and Security · Computer Science 2024-05-15 Andrea Merlina , Thiago Garrett , Roman Vitenberg

Blockchain plays a crucial role in ensuring the security and integrity of decentralized systems, with the proof-of-work (PoW) mechanism being fundamental for achieving distributed consensus. As PoW blockchains see broader adoption, an…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Xunqiang Lan , Xiao Tang , Ruonan Zhang , Bin Li , Qinghe Du , Dusit Niyato , Zhu Han

Proof of Work (PoW) has extensively served as the foundation of blockchain's security, consistency, and tamper-resistance. However, long has it been criticized for its tremendous and inefficient utilization of computational power and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Weihang Cao , Xintong Ling , Jiaheng Wang , Xiqi Gao , Zhi Ding

A blockchain is a decentralized ledger where all transactions are recorded. For having a reliable blockchain and double-spending prevention, we need a decentralized consensus and agreement on a blockchain. Bitcoin uses proof-of-work (PoW).…

Cryptography and Security · Computer Science 2019-05-06 Siamak Solat

The progress of deep learning (DL), especially the recent development of automatic design of networks, has brought unprecedented performance gains at heavy computational cost. On the other hand, blockchain systems routinely perform a huge…

Cryptography and Security · Computer Science 2020-07-31 Yixiao Lan , Yuan Liu , Boyang Li

The security and decentralization of Proof-of-Work (PoW) have been well-tested in existing blockchain systems. However, its tremendous energy waste has raised concerns about sustainability. Proof-of-Useful-Work (PoUW) aims to redirect the…

Cryptography and Security · Computer Science 2025-12-16 Weihang Cao , Mustafa Doger , Sennur Ulukus

The synergy between Federated Learning and blockchain has been considered promising; however, the computationally intensive nature of contribution measurement conflicts with the strict computation and storage limits of blockchain systems.…

Cryptography and Security · Computer Science 2026-03-31 Leon Witt , Kentaroh Toyoda , Wojciech Samek , Dan Li

This paper presents a comprehensive comparative analysis of two dominant blockchain consensus mechanisms, Proof of Work (PoW) and Proof of Stake (PoS), evaluated across seven critical metrics: energy use, security, transaction speed,…

Cryptography and Security · Computer Science 2025-11-24 Kaeli Andrews , Linh B. Ngo , Md Amiruzzaman

Designing an efficient difficulty control algorithm is an essential problem in Proof-of-Work (PoW) based blockchains because the network hash rate is randomly changing. This paper proposes a general difficulty control algorithm and provides…

Cryptography and Security · Computer Science 2020-04-23 Shulai Zhang , Xiaoli Ma

In blockchain systems, especially cryptographic currencies such as Bitcoin, the double-spending and Byzantine-general-like problem are solved by reaching consensus protocols among all nodes. The state-of-the-art protocols include…

Cryptography and Security · Computer Science 2018-08-02 Jianwen Chen , Kai Duan , Rumin Zhang , Liaoyuan Zeng , Wenyi Wang

We introduce Auditable Proof-of-Work (APoW), a novel proof-of-work (PoW) construction inspired by Hashcash-style nonce searching, which enables the auditing of other miners' work through accountable re-scanning of the nonce space. The…

Cryptography and Security · Computer Science 2026-01-09 Sergio Demian Lerner

The distributed consensus mechanism is the backbone of the rapidly developing blockchain network. Blockchain platforms consume vast amounts of electricity based on the current consensus mechanism of Proof of Work. Here, we point out an…

Computers and Society · Computer Science 2022-01-19 Xiaoyang Shi , Hang Xiao , Weifeng Liu , Xi Chen , Klaus. S. Lackner , Vitalik Buterin , Thomas F. Stocker