Randomness, pseudorandomness and models of arithmetic

Pavel Pudlak

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arXiv · 1210.4692

Randomness, pseudorandomness and models of arithmetic

Pavel Pudlak

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Abstract

Pseudorandmness plays an important role in number theory, complexity theory and cryptography. Our aim is to use models of arithmetic to explain pseudorandomness by randomness. To this end we construct a set of models $\cal M$, a common element $\iota$ of these models and a probability distribution on $\cal M$, such that for every pseudorandom sequence $s$, the probability that $s(\iota)=1$ holds true in a random model from $\cal M$ is equal to 1/2.

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BibTeX RIS

Pavel Pudlak. 2012-10-17. Randomness, pseudorandomness and models of arithmetic. https://arxiv.org/abs/1210.4692

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