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  • 标题:A Note on the Minimum Number of Negations Leading to Superpolynomial Savings
  • 本地全文:下载
  • 作者:Stasys Jukna
  • 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:In 1957 Markov proved that every circuit in n variables can be simulated by a circuit with at most log ( n + 1 ) negations. In 1974 Fischer has shown that this can be done with only polynomial increase in size. In this note we observe that some explicit monotone functions in P cannot be computed by a circuit of polynomial size if we allow only log n − O ( log log n ) negations.
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