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Related papers: Nakamoto Consensus with Verifiable Delay Puzzle

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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

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

A Verifiable Delay Function (VDF) is a function that takes a specified sequential time to be evaluated, but can be efficiently verified. VDFs are useful in several applications ranging from randomness beacons to sustainable blockchains but…

Cryptography and Security · Computer Science 2023-12-27 Souvik Sur

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…

Cryptography and Security · Computer Science 2024-06-26 Lucianna Kiffer , Joachim Neu , Srivatsan Sridhar , Aviv Zohar , David Tse

A Verifiable Delay Function (VDF) is a function that takes a specified sequential time $T$ to be evaluated, but can be verified in $\Omega(\log{T})$-time. For meaningful security, $T$ can be at most subexponential in the security parameter…

Cryptography and Security · Computer Science 2023-12-12 Souvik Sur

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;…

Cryptography and Security · Computer Science 2020-02-25 Vivek Bagaria , Amir Dembo , Sreeram Kannan , Sewoong Oh , David Tse , Pramod Viswanath , Xuechao Wang , Ofer Zeitouni

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…

Cryptography and Security · Computer Science 2026-01-06 Junjie Hu

We propose a new Proof-of-Stake consensus protocol constructed with a verifiable random function (VRF) and a verifiable delay function (VDF) that has the following properties: a) all addresses with positive stake can participate; b) is fair…

Cryptography and Security · Computer Science 2020-10-13 José I. Orlicki

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…

Cryptography and Security · Computer Science 2023-03-15 Søren Eller Thomsen , Bas Spitters

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

A fundamental conflict of many proof-of-work systems is that they want to achieve inclusiveness and security at the same time. We analyze and resolve this conflict with a theory of proof-of-work quorums, which enables a new bridge between…

Cryptography and Security · Computer Science 2020-02-24 Patrik Keller , Rainer Böhme

Verifiable delay functions have found a lot of applications in blockchain technology in recent times. Continuous verifiable delay functions are an improvement over the basic notion of VDFs with recursive capabilities. We are proposing the…

Cryptography and Security · Computer Science 2021-08-17 Ekleen Kaur , Gokul Alex

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

Verifiable delay functions (VDF) are functions that take a specified number of sequential steps to be evaluated but can be verified efficiently. In this paper, we show that every VDF is provable in PSPACE but every language in PSPACE does…

Computational Complexity · Computer Science 2022-11-14 Souvik Sur

Theoretical guarantees for double spending probabilities for the Nakamoto consensus under the $k$-deep confirmation rule have been extensively studied for zero/bounded network delays and fixed mining rates. In this paper, we introduce a…

Cryptography and Security · Computer Science 2025-04-30 Mustafa Doger , Sennur Ulukus , Nail Akar

The Decentralized-Consistent-Scale (DCS) Triangle defines three dimensions that illustrate the tradeoffs of the blockchain consensus mechanism. In this paper, we propose a new hybrid consensus protocol, called Deterministic Proof of Work…

Cryptography and Security · Computer Science 2018-11-15 Zhuan Cheng , Gang Wu , Hao Wu , Muxing Zhao , Liang Zhao , Qingfeng Cai

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

Randomness beacons based on Verifiable Delay Functions (VDFs) are increasingly proposed for blockchains and distributed systems, promising publicly verifiable delay and bias resistance. Existing analyses, however, treat adversaries purely…

Cryptography and Security · Computer Science 2026-04-07 Zhenhang Shang , Kani Chen

A problem of developing the consensus protocols in public blockchain systems which spend a combination of energy and space resources is addressed. A technique is proposed that provides a flexibility for selection of the energy and space…

Cryptography and Security · Computer Science 2019-11-19 Miodrag J. Mihaljevic

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
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