The Lean Theorem Prover (System Description)
- Leonardo de Moura ,
- Soonho Kong ,
- Jeremy Avigad ,
- Floris van Doorn ,
- Jakob von Raumer
2015 Conference on Automated Deduction |
Published by Springer, Cham
Lean is a new open source theorem prover being developed at Microsoft Research and Carnegie Mellon University, with a small trusted kernel based on dependent type theory. It aims to bridge the gap between interactive and automated theorem proving, by situating automated tools and methods in a framework that supports user interaction and the construction of fully specified axiomatic proofs. Lean is an ongoing and long-term effort, but it already provides many useful components, integrated development environments, and a rich API which can be used to embed it into other systems. It is currently being used to formalize category theory, homotopy type theory, and abstract algebra. We describe the project goals, system architecture, and main features, and we discuss applications and continuing work.
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Lean 4
janvier 4, 2021
Lean 4 programming language and theorem prover Lean is a functional programming language that makes it easy to write correct and maintainable code. You can also use Lean as an interactive theorem prover. Lean programming primarily involves defining types and functions. This allows your focus to remain on the problem domain and manipulating its data, rather than the details of programming. Learn more about Lean 4 >