Recovering randomness from an asymptotic Hamming distance

نویسنده

  • Bjørn Kjos-Hanssen
چکیده

A notion of asymptotic Hamming distance suitable for the study of algorithmic randomness is developed. As an application of this notion, it is shown that there is no fixed procedure that computes a Mises-WaldChurch stochastic set from a complex set. Here a set is complex if its prefixes have Kolmogorov complexity bounded below by an unbounded, nondecreasing computable function.

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عنوان ژورنال:
  • Logical Methods in Computer Science

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2010