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Luke_A_Somers comments on Why AI may not foom - Less Wrong
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I suppose it depends what you mean by 'smarter'. I mean, code optimizations are provable, and if Löb's theorem says you can't safely trim a million consecutive no-ops that somehow snuck into your inner loop, then it's a dumb theorem to use.
Developing new heuristics is a whole different kettle of fish and yes it's a rough-and-tumble world out there.
Upon further reflection, it seems to me that the real upgrades are either going to be heuristics adopted in a continuous fashion on a Bayesian basis (software), or hardware.
And hardware contract proving is a much littler thing altogether. Basically, when DOES this theorem apply?