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Gehinnn | 9 days ago

I just completed the formal verification of my bachelor thesis about real time cellular automata with Lean 4, with heavy use of AI.

Over the past year, I went from fully manual mode (occasionally asking chat gpt some Lean questions) to fully automatic mode, where I barely do Lean proofs myself now (and just point AI to the original .tex files, in German). It is hard to believe how much the models and agentic harnesses improved over the last year.

I cannot describe how much fun it is to do refactorings with AI on a verified Lean project!

Also, it's so easy now to have visualizations and typesetted documents generated by AI, from dependency visualizations of proofs using the Lean reflection API, to visual execution traces of cellular automatas.

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svara|9 days ago

Can you give some examples of this? Maybe have something online? I would love to learn more about how to do proof driven AI assisted development.

Gehinnn|9 days ago

Here is a session that I just had with AI: https://gist.github.com/hediet/e3569a7c6b4b7c4f7d4a7db410104... (summarized by AI).

And here are some examples of the different philosophies of AI proofs and human proofs: https://gist.github.com/hediet/e3569a7c6b4b7c4f7d4a7db410104...

I use VS Code in a beefy Codespace, with GitHub Copilot (Opus 4.5). I have a single instruction file telling the AI to always run "lake build ./lean-file.lean" to get feedback.

(disclaimer: I work on VS Code)