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A generalization of Levin-Schnorr's theorem (1310.3091v2)
Published 11 Oct 2013 in math.LO
Abstract: In this paper, we will generalize the definition of partially random or complex reals, and then show the duality of random and complex, i.e., a generalized version of Levin-Schnorr's theorem. We also study randomness from the view point of arithmetic using the relativization to a complete $\Pi0_1$-class.
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