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The Lean 4 Focused Research Organization has ML interoperability in its roadmap. Since Lean 4 is shaping up to be a capable general purpose language as well, I
by ykonstant 3y ago
The Lean 4 Focused Research Organization has ML interoperability in its roadmap. Since Lean 4 is shaping up to be a capable general purpose language as well, I can imagine a Lean project that retrieves and formats LMFDB data, uses it to train and test a NN, gets Lean 4 proof code from it, verifies or rejects it (possibly with more detailed feedback) and loops this like a "conversation".
However, Lean 4 still has a long way to go in terms of speed and library features, and I at least have given up on writing optimized code until we get the new compiler (whose timeline seems optimistic to me, but Leo de Moura knows much better).
- knotthebest 3y agoAt which point would mathematicians become obsolete? Something like this seems like it could automate a lot of mathematics research, no?
- ykonstant 3y agoWe would be interested in actual automation of theorem production, but this pipeline would automate approximately 0% of (interesting) mathematics research. It does have the potential to automate some boring parts and enable mathematicians to make better conjectures faster.
- knotthebest 3y agoI think I may be missing something. Why would you be interested in the automation of theorem production? Wouldn’t this make mathematicians obsolete? How far away do you think we are from that? I ask as a newbie in math; math is a passion of mine. I am genuinely reconsidering going into math research as I fear just being automated away.