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  • 标题:Dependence logic with a majority quantifier
  • 本地全文:下载
  • 作者:Arnaud Durand ; Johannes Ebbing ; Juha Kontinen
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2011
  • 卷号:13
  • 页码:252-263
  • DOI:10.4230/LIPIcs.FSTTCS.2011.252
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We study the extension of dependence logic D by a majority quantifier M over finite structures. We show that the resulting logic is equi-expressive with the extension of second-order logic by second-order majority quantifiers of all arities. Our results imply that, from the point of view of descriptive complexity theory, D(M) captures the complexity class counting hierarchy.
  • 关键词:dependence logic; counting hierarchy; majority quantifier; second order logic; descriptive complexity; finite model theory
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