两篇文章介绍了 Ligero-Binius 和 FRI-Binius 零知识证明系统,探讨其多项式承诺方案、高效性、递归验证优化及硬件加速潜力。
The two articles introduce Ligero-Binius and FRI-Binius zero-knowledge proof systems, discussing their polynomial commitment schemes, efficiency improvements, recursive verification optimizations, and potential for hardware acceleration.
文章探讨计算机辅助数学研究,包括机器学习、形式化证明助手、大语言模型的应用及其潜力与挑战。
The article explores computer-assisted mathematical research, covering applications of machine learning, formal proof assistants, and large language models, highlighting their current potential, challenges, and integration for future advancements in mathematics.
由 Nethermind 基于 Dan Boneh 和 Binyi Chen 的研究 LatticeFold: A Lattice-based Folding Scheme and its Applications to Succinct Proof Systems 开发的 LatticeFold 折叠方案的概念验证实现。
A proof-of-concept implementation of the LatticeFold folding scheme engineered by Nethermind based on the work LatticeFold: A Lattice-based Folding Scheme and its Applications to Succinct Proof Systems by Dan Boneh and Binyi Chen.
MyZKP 是一个完全从零开始用 Rust 实现的零知识协议项目!该项目旨在作为理解和使用零知识证明的教育资源。
MyZKP is a Rust implementation of zero-knowledge protocols built entirely from scratch! This project serves as an educational resource for understanding and working with zero-knowledge proofs.
他们讨论生态系统面临的挑战并简要展望了 2025 年 ZK 的发展前景。
They go on to discuss the challenges facing the ecosystem. And they wrap with a brief look forward, covering what to expect in ZK in 2025.
通过调整 HElib 探索了在 coSNARKs 中使用同态加密(HE)。尽管实现了一些优化,但 HE 中的 FFT 仍比普通方法或 MPC 慢 1 万倍,并且需要大量内存。
Explored using HE for coSNARKs by adapting HElib. Despite getting optimizations to work, FFTs in HE are still 10,000 times slower than plain or MPC and need huge memory.
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