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red75 comments on AI cooperation in practice - Less Wrong
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Nothing depends on the details of proof verifier, since it completely covers all proofs up to some length, a set of proofs which is completely defined by the logical language. The arguments of proves(-,-) determine its value (and it's even a primitive recursive function).
On the other hand, pathological formal language can be constructed, that makes proof of "main()==1" arbitrary large (e.g. where 1 is represented by 3^^^3 symbols). Thus it is better to be proven that formal language isn't pathological, i.e there is no prover proves' that satisfies condition