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P-immune sets with holes lack self-reducibility properties.

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Publication:1401340
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DOI10.1016/S0304-3975(02)00576-5zbMath1044.68068MaRDI QIDQ1401340

Hemaspaandra, Lane A., Harald Hempel

Publication date: 17 August 2003

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


zbMATH Keywords

Computational complexitySelf-reducibilityImmunityGaps


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25)


Related Items (2)

Query-monotonic Turing reductions ⋮ The Power of Self-Reducibility: Selectivity, Information, and Approximation



Cites Work

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  • A result relating disjunctive self-reducibility to P-immunity
  • Reductions on NP and p-selective sets
  • A comparison of polynomial time reducibilities
  • Computation times of NP sets of different densities
  • Self-reducibility
  • Relative to a Random OracleA, ${\bf P}^A \ne {\bf NP}^A \ne \text{co-}{\bf NP}^A $ with Probability 1
  • Completeness, Approximation and Density
  • ON THE LIMITATIONS OF LOCALLY ROBUST POSITIVE REDUCTIONS
  • Easily Checked Generalized Self-Reducibility
  • Strong self-reducibility precludes strong immunity


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