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  • 标题:Kolmogorov Complexity in Randomness Extraction
  • 本地全文:下载
  • 作者:John Hitchcock ; A. Pavan ; N. V. Vinodchandran
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2009
  • 卷号:2009
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:

    We clarify the role of Kolmogorov complexity in the area of randomness extraction. We show that a computable function is an almost randomness extractor if and only if it is a Kolmogorov complexityextractor, thus establishing a fundamental equivalence between two forms of extraction studied in the literature: Kolmogorov extractionand randomness extraction. We present a distribution k based on Kolmogorov complexity that is complete for randomness extraction in the sense that a computable function is an almost randomness extractor if and only if it extracts randomness from k.

  • 关键词:Kolmogorov complexity; Randomness Extractors
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