Khoth comments on Open Thread, November 16–30, 2012 - Less Wrong

3 Post author: VincentYu 18 November 2012 01:59PM

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Comment author: Khoth 28 November 2012 05:14:41PM 2 points [-]

Does Uspenskiy have an opinion on Zero-knowledge proofs? They differ from standard proofs in that they have a probability of being wrong (which can be as small as you want), and the key property which is that if I use one to convince you of something, you aren't able to use it to convince anyone else.

Comment author: vi21maobk9vp 29 November 2012 05:09:18AM 0 points [-]

Does anyone consider them the proofs in the ordinary sense?

I could ask him, but given that experience of verification of ZKP is an example personal/non-transferrable evidence, I see no question here.

And in some sense, ZKP proofs are usualy proofs of knowledge. If you represent ZK prover as a black box with secret information inside that uses random number generation log and communication log as sources to calculate its next message, access to this blackbox in such form is enough to extract some piece of data. This piece of data makes the proven statement trivial to verify or to prove conventionally - or even to play prover in ZKP. So all the efforts in ZKP are about showing you know some secret without letting me know the secret.