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Even current people will feel differently. I don't bemoan the fact that Lean/Mathlib has `simp` and `linarith` to automate trivial computations. A "copilot for
by ndriscoll 2y ago
Even current people will feel differently. I don't bemoan the fact that Lean/Mathlib has `simp` and `linarith` to automate trivial computations. A "copilot for Lean" that can turn "by induction, X" or "evidently Y" into a formal proof sounds great.
The the trick is teaching the thing how high powered of theorems to use or how to factor out details or not depending on the user's level of understanding. We'll have to find a pedagogical balance (e.g. you don't give `linarith` to someone practicing basic proofs), but I'm sure it will be a great tool to aid human understanding.
A tool to help translate natural language to formal propositions/types also sounds great, and could help more people to use more formal methods, which could make for more robust software.