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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

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

A verifiable random function (VRF in short) is a powerful pseudo-random function that provides a non-interactively public verifiable proof for the correctness of its output. Recently, VRFs have found essential applications in blockchain…

Cryptography and Security · Computer Science 2021-09-07 Zengpeng Li , Teik Guan Tan , Pawel Szalachowski , Vishal Sharma , Jianying Zhou

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 introduce a new complexity class that contains all the VDFs. We show that…

Cryptography and Security · Computer Science 2022-11-16 Souvik Sur

Verifiable Delay Function (VDF) is a cryptographic concept that ensures a minimum delay before output through sequential processing, which is resistant to parallel computing. One of the significant VDF protocols academically reviewed is the…

Cryptography and Security · Computer Science 2025-01-23 Suhyeon Lee , Euisin Gee , Junghee Lee

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

Recent advances in the cryptographic field of "Zero-Knowledge Proofs" have sparked a new wave of research, giving birth to many exciting theoretical approaches in the last few years. Such research has often overlapped with the need for…

Cryptography and Security · Computer Science 2019-09-04 Mario Alessandro Barbara

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

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

Verifiable decentralized federated learning (FL) systems combining blockchains and zero-knowledge proofs (ZKP) make the computational integrity of local learning and global aggregation verifiable across workers. However, they are not…

Machine Learning · Computer Science 2024-04-22 Chaehyeon Lee , Jonathan Heiss , Stefan Tai , James Won-Ki Hong

Federated learning may be subject to both global aggregation attacks and distributed poisoning attacks. Blockchain technology along with incentive and penalty mechanisms have been suggested to counter these. In this paper, we explore…

Cryptography and Security · Computer Science 2022-06-24 Jonathan Heiss , Elias Grünewald , Nikolas Haimerl , Stefan Schulte , Stefan Tai

Intuitively there is a drastic distinction between the pure decentralized block-chain systems like Defis and those that only utilize block-chain as an enhancing technology but remain centralized with real-world business model and…

Cryptography and Security · Computer Science 2021-07-30 Yuqi Bai , Lei Luo

Existing verifiable e-sortition systems are impractical due to computationally expensive verification (linear to the duration of the registration phase, T) or the ease of being denial of service. Based on the advance in verifiable delay…

Cryptography and Security · Computer Science 2020-06-25 Hsun Lee , Hsu-Chun Hsiao

This paper explores how zero-knowledge proofs can enhance Bitcoin's functionality and privacy. First, we consider Proof-of-Reserve schemes: by using zk-STARKs, a custodian can prove its Bitcoin holdings are more than a predefined threshold…

Cryptography and Security · Computer Science 2025-07-30 Yusuf Ozmiş

This paper presents a new consensus protocol based on verifiable delay function. First, we introduce the concept of verifiable delay puzzle (VDP), which resembles the hashing puzzle used in the PoW mechanism but can only be solved…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-21 Jieyi Long

Blockchain-based Federated Learning (FL) is an emerging decentralized machine learning paradigm that enables model training without relying on a central server. Although some BFL frameworks are considered privacy-preserving, they are still…

Cryptography and Security · Computer Science 2025-01-09 Ahmed Ayoub Bellachia , Mouhamed Amine Bouchiha , Yacine Ghamri-Doudane , Mourad Rabah

Since the concern of privacy leakage extremely discourages user participation in sharing data, federated learning has gradually become a promising technique for both academia and industry for achieving collaborative learning without leaking…

Cryptography and Security · Computer Science 2023-04-25 Zhibo Xing , Zijian Zhang , Meng Li , Jiamou Liu , Liehuang Zhu , Giovanni Russello , Muhammad Rizwan Asghar

This survey provides a comprehensive examination of verifiable computing, tracing its evolution from foundational complexity theory to modern zero-knowledge succinct non-interactive arguments of knowledge (ZK-SNARKs). We explore key…

Logic in Computer Science · Computer Science 2025-01-13 Angold Wang

Discrete-time Control Barrier Functions (DTCBFs) form a powerful control theoretic tool to guarantee safety and synthesize safe controllers for discrete-time dynamical systems. In this paper, we provide an optimization-based algorithm,…

Optimization and Control · Mathematics 2025-09-24 Erfan Shakhesi , W. P. M. H. Heemels , Alexander Katriniok

We introduce a technology to formally verify that a software system satisfies a temporal specification of functional correctness, without revealing the system itself. Our method combines a deductive approach to model checking to obtain a…

Cryptography and Security · Computer Science 2026-05-04 Pascal Berrang , Mirco Giacobbe , Jacob Swales , Xiao Yang
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