Post #4235205

And a follow-up by talia ringer, who observes that there have always been gaps between the type-theoretic underpinnings of things like the lean prover and their actual implementation, and this hasn’t been so much of an issue til now because theorem provers haven’t had the attention of people in high places, and the type-theoreticians have been able to catch up in due course. mathstodon.xyz/@TaliaRinger/117005740997367321 My big worry right now is that if organizations continue to fund the crap out of Al for formal proof research (and to generally support implementation and maintenance of proof assistants like Lean as part of that effort) but don’t bother funding the type theory side of things, those gaps will grow larger and will be exploited more often by Al tools via reward hacking. Whereas people tend to only exploit kernel bugs to make a point that the bug exists. Thus proof assistants will grow less trustworthy over time. Anyone want to place any bets on whether or nor the big llm companies are going to fund academic research that isn’t obviously mechanisable right now and won’t yield any clickbait headlines?