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An improved zero-one law for algorithmically random sequences

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Publication:1127324
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DOI10.1016/S0304-3975(97)00116-3zbMath0897.68046MaRDI QIDQ1127324

Steven M. Kautz

Publication date: 13 August 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

zero-one lawalgorithmic randomnessrandom sequence\(n\)-randomness


Mathematics Subject Classification ID

Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)


Related Items

The weakness of being cohesive, thin or free in reverse mathematics ⋮ On the robustness of ALMOST-$\mathcal {R}$



Cites Work

  • Incompleteness theorems for random reals
  • Classical recursion theory. Vol. II
  • Process complexity and effective random tests
  • Relative to a Random OracleA, ${\bf P}^A \ne {\bf NP}^A \ne \text{co-}{\bf NP}^A $ with Probability 1
  • An observation on probability versus randomness with applications to complexity classes
  • On Languages Reducible to Algorithmically Random Languages
  • On the robustness of ALMOST-$\mathcal {R}$
  • The definition of random sequences
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