CSLib: The Lean Computer Science Library

TL;DR

CSLib is an open-source framework designed to expand Lean's capabilities in computer science, enabling formal verification and proof development to support education, research, and large-scale system engineering.

Contribution

It introduces CSLib, a comprehensive library that significantly enhances Lean's computer science knowledge base and infrastructure for verified system development.

Findings

CSLib increases the scope of formal verification in computer science.

It facilitates AI-assisted theorem proving and system verification.

CSLib promotes broader adoption of Lean in CS education and research.

Abstract

We introduce CSLib, an open-source framework for proving computer-science-related theorems and writing formally verified code in the Lean proof assistant. CSLib aims to be for computer science what Lean's Mathlib is for mathematics. Mathlib has been tremendously impactful: it is a key reason for Lean's popularity within the mathematics research community, and it has also played a critical role in the training of AI systems for mathematical reasoning. However, the base of computer science knowledge in Lean is currently quite limited. CSLib will vastly enhance this knowledge base and provide infrastructure for using this knowledge in real-world verification projects. By doing so, CSLib will (1) enable the broad use of Lean in computer science education and research, and (2) facilitate the manual and AI-aided engineering of large-scale formally verified systems.