Formal Verification
Lean is designed for formal verification, offering a rigorous way to ensure the correctness of mathematical proofs and software systems.
Interactive Theorem Proving
Lean provides an interactive environment for theorem proving, which helps in incrementally building proofs with immediate feedback.
Rich Library
Lean comes with a rich mathematical library, mathlib, which covers a wide range of mathematical topics and can be extended by the community.
Community and Documentation
Lean has a supportive community and a growing body of documentation and tutorials, which can assist new users in learning and applying the tool effectively.
Automation Tools
Lean provides automation tools, such as tactics, which help automate parts of the proof process, making it easier to handle complex proofs.
Lean is an excellent, modern theorem prover and functional programming language that combines rigorous formal verification with strong usability, making it one of the best tools available for interactive theorem proving and formalized mathematics.
We have collected here some useful links to help you find out if Lean Prover is good.
Check the traffic stats of Lean Prover on SimilarWeb. The key metrics to look for are: monthly visits, average visit duration, pages per visit, and traffic by country. Moreoever, check the traffic sources. For example "Direct" traffic is a good sign.
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The latest comments about Lean Prover on Reddit. This can help you find out how popualr the product is and what people think about it.
Https://lean-lang.org/ If you can express a solution in Lean you can formally prove or disprove it. Formal verification is making a debut in traditional engineering toolkits. - Source: Hacker News / 11 days ago
This is what Lean is for: https://lean-lang.org/ If you have the LLM generate Lean code, and it compiles, then the proof is correct and you don't need to bother checking its working. (You still need to check that it is proving the theorem you asked it to prove). - Source: Hacker News / 15 days ago
Lean is a programming language [1] > Lean is an open-source programming language and proof assistant that enables correct, maintainable, and formally verified code [1]: https://lean-lang.org/. - Source: Hacker News / 23 days ago
This sort of theoretical result is not always as clear-cut as you suggest. Computers are finite machines. There is a theorem that although a machine with finite memory can add, multiplication requires unbounded memory. Somehow we muddle along and use computers for multiplication anyway. More to your point there is a whole field of people who write useful programs using languages in which every program must be... - Source: Hacker News / about 2 months ago
I don't know about running per se but practical applications (as in done for product/service) exist. A notable practitioner for Isabelle and Lean is AWS[0]. There is also TLA+ for a more practical tool. The most widely used variant of these proof assistants are probably formally verified compilers, like compcert, which are used in some highly regulated industries like aviation. [0]:... - Source: Hacker News / 3 months ago
With this article I hope to attract more attention to the languages like PureScript, or Unison or LEAN, or Haskell or Elm and its descendants, because they not only bring mathematical beauty in the world (I say it from the position of the guy who totally didn't like maths at school, though gladly read books from Martin Gardner or Lewis Carroll about Logic), but also the code written using them is stable, easy to... - Source: dev.to / 6 months ago
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