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A generalization of Levin-Schnorrs theorem

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 نشر من قبل Keita Yokoyama
 تاريخ النشر 2013
  مجال البحث
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 تأليف Keita Yokoyama




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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-Schnorrs theorem. We also study randomness from the view point of arithmetic using the relativization to a complete $Pi^0_1$-class.



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