The Lean Proof Assistant - Introduction and Challenges - IPAM at UCLA

Explore the Lean proof assistant in this comprehensive lecture by Leonardo de Moura from Microsoft Research at IPAM's Machine Assisted Proofs Workshop. Delve into the introduction and challenges of Lean, the preferred proof assistant for the mathematics community. Discover its efficiency as a programming language and learn how users can extend its functionality. Gain insights into the Lean mathematical library (Mathlib), boasting over one million lines of code and contributions from more than 200 individuals. Examine topics such as meta programming, simple examples, trustworthiness, and the magical library. Investigate the ecosystem, Olympic channel, and impacts of formal mathematics. Address challenges including overhead factors, scalability, and accessibility. Explore the role of AI in mathematics, hypertree proof search, and the interactive process of proof development. Understand the engineering aspects, community excitement, and the main message behind this powerful tool shaping the future of mathematical proofs.