Maintaining a Library of Formal Mathematics

Growing Mathlib: 大规模数学库的维护

Growing Mathlib: maintenance of a large scale mathematical library

本文探讨了Lean数学库Mathlib快速增长下的维护策略，涵盖弃用系统、代码质量分析、编译优化、技术债务处理及自定义工具，以支持持续变更并减轻维护负担。

SLEEF: A Portable Vectorized Library of C Standard Mathematical Functions

In this paper, we present techniques used to implement our portable vectorized library of C standard mathematical functions written entirely in C language. In order to make the library portable while maintaining good performance, intrinsic functions of vector extensions are abstracted by inline functions or preprocessor macros. We implemented the functions so that they can use sub-features of vector extensions such as fused multiply-add, mask registers and extraction of mantissa. In order to make computation with SIMD instructions efficient, the library only uses a small number of conditional …

An Integrated Web Platform for the Mizar Mathematical Library

This paper reports on the development of a Web platform to host the Mizar Mathematical Library (MML). In recent years, the size of formalized mathematical libraries has been drastically increasing, and this has led to a growing demand for tools that support efficient and comprehensive browsing, searching, and annotation of these libraries. This platform implements a Wiki function to add comments to the HTMLized MML, three types of search function (article, symbol, and theorem), and a function to show the dependency graph of the MML. This platform is designed with consistency, scalability, and …

一种基于约束的Prolog数学建模库，具有答案约束语义

A Constraint-based Mathematical Modeling Library in Prolog with Answer Constraint Semantics

本文提出将Prolog及其约束求解库作为统一的基于关系的建模和编程语言，并实现了一个受MiniZinc启发的Prolog数学建模库，在无明显计算开销的情况下支持数组、量词和迭代器，同时获得答案约束、可编程搜索与求解器以及统一调试环境。

计算机科学作为基础设施：轻量计算机科学库（CSLib）的脊梁

Computer Science as Infrastructure: the Spine of the Lean Computer Science Library (CSLib)

本文介绍了CSLib的 founding 技术原则和核心贡献，包括语义接口、证明自动化及与Mathlib的兼容性，旨在推动计算机科学的正式化发展。

CSLib: 用于证明计算机科学定理和编写形式验证代码的轻量级框架

CSLib: The Lean Computer Science Library

CSLib是一个旨在提升Lean在计算机科学领域应用的开源框架，通过增强形式验证能力促进教育与研究。