On oscillation-free chaitin h-random sequences

  • Authors:
  • Ludwig Staiger

  • Affiliations:
  • Institut für Informatik, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

  • Venue:
  • WTCS'12 Proceedings of the 2012 international conference on Theoretical Computer Science: computation, physics and beyond
  • Year:
  • 2012

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Abstract

The present paper generalises results by Tadaki [12] and Calude et al. [1] on oscillation-free partially random infinite strings. Moreover, it shows that oscillation-free partial Chaitin randomness can be separated from oscillation-free partial strong Martin-Löf randomness by $\Pi_{1}^{0}$ -definable sets of infinite strings.