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Randomness is a key component of probabilistic algorithms, many combinatorial aarguments, the analysis of hashing functions, and in cryptography, among other applications.

23 votes

Can a probabilistic Turing machine solve the halting problem?

edit: I just realized some of the things I wrote were total nonsense, sorry for that. Now I changed the proof and made the definition of probabilistic machine I am using more precise. I don't know wh …
Karolina Sołtys's user avatar
12 votes

Random monotone function

I'm not sure, but I think that the problem here is the fact that we don't have any strong assumptions about pseudorandom monotone function generators (at least none that I know of). The idea of the pr …
Karolina Sołtys's user avatar