New Studies in Weak Arithmetics

0422148 - MÚ 2014 RIV US eng M - Monography Chapter
Pudlák, Pavel
Randomness, pseudorandomness and models of arithmetic.
New Studies in Weak Arithmetics. 1. Stanford: Center for the Study of Language and Information, 2013 - (Cégielski, P.; Cornaros, C.; Dimitracopoulos, C.), s. 199-216. CSLI Lecture Notes, vol. 211. ISBN 978-1-57586-723-6
R&D Projects: GA AV ČR IAA100190902
Institutional support: RVO:67985840
Keywords : pseudorandomness * number theory
Subject RIV: BA - General Mathematics

Pseudorandomness 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 and we construct a set of models M, a common element i of these models and a probability distribution on M, such that for every pseudorandom sequence s, the probability that s(i)=1 holds true in a random model from M is equal to 1/2.
Permanent Link: http://hdl.handle.net/11104/0228428