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  • 标题:Descriptive complexity of computable sequences
  • 本地全文:下载
  • 作者:Bruno Durand ; Alexander Shen ; Nikolai Vereshchagin
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2001
  • 卷号:2001
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:We study different notions of descriptive complexity of computable sequences. Our main result states that if for almost all n the Kolmogorov complexity of the n-prefix of an infinite binary sequence x conditional to n is less than m then there is a program of length m^2+O(1) that for almost all n given n as input prints the n-prefix of x. We prove that this bound is tight up to a constant factor.
  • 关键词:computable sequence , initial segment , Kolmogorov complexity
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