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文章基本信息

  • 标题:All Classical Adversary Methods are Equivalent for Total Functions
  • 本地全文:下载
  • 作者:Andris Ambainis ; Martins Kokainis ; Krisjanis Prusis
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2017
  • 卷号:2017
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:

    We show that all known classical adversary lower bounds on randomized query complexity are equivalent for total functions, and are equal to the fractional block sensitivity fbs ( f ) . That includes the Kolmogorov complexity bound of Laplante and Magniez and the earlier relational adversary bound of Aaronson. For partial functions, we show unbounded separations between fbs ( f ) and other adversary bounds, as well as between the relational and Kolmogorov complexity bounds.

  • 关键词:adversary bound ; fractional block sensitivity ; lower bounds ; randomized query complexity
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