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  • 标题:On Existentially First-Order Definable Languages and their Relation to NP
  • 本地全文:下载
  • 作者:Bernd Borchert ; Dietrich Kuske ; Frank Stephan
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:1997
  • 卷号:1997
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:Pin & Weil [PW95] characterized the automata of existentially first-order definable languages. We will use this result for the following characterization of the complexity class NP. Assume that the Polynomial-Time Hierarchy does not collapse. Then a regular language L characterizes NP as an unbalanced polynomial-time leaf language if and only if L is existentially but not quantifierfree definable in FO[<,min,max,-1,+1].
  • 关键词:definable languages, leaf languages, NP
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