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timtyler comments on Cryptographic Boxes for Unfriendly AI - Less Wrong
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Hmm, that's very interesting. I'm surprised that the estimates aren't closer together. My own estimate for the existence of provably secure homomorphic encryption given that P != NP is very high, around, .75. So it seems that you much more strongly believe that P !=NP but are much less comfortable given that P !=NP assigning a high probability to the existence of homomorphic encryption.
Best to be careful with the term "provably secure" - since "provable security" is a technical term with a rather counter-intuitive meaning.