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Is a pseudorandom function (PRF) also a one-way function (OWF)? If yes, how can we proof that a PRF $f_k$ is a OWF? If no, what is the closest work?

A PRF is a keyed function, or alternatively it is a family of functions indexed by a key. A OWF is a single public function. There is a mismatch between these two things. AES is a secure PRF (function ...
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