AI systems have made formal mathematical verification practical at scale by dramatically reducing the De Bruijn index—the ratio of formal verification code lines to original code lines—previously requiring PhD-level effort to achieve results that can now be generated automatically through AI.
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Why Formal Math Suddenly MattersAdded:
The thing I'm excited the most excited about is not necessarily the fact that like AI keeps getting better at maths, the fact that formal math is now practical. If you had told a mathematician like 2 years ago you could upload your PDF to a website [music] and get back like 20,000 lines of lean, they would have laughed you out of the room.
Like that would have been [music] like a PhD project to brew an index. So, if you're in formal verification, the De Bruijn index rule is the ratio of how many lines of formal verification code you have to write per line of code in your original language to verify it.
Yeah, and the difference now of course with the as with a lot of fields that AI can do it.
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