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  • 标题:The model checking problem for propositional intuitionistic logic with one variable is AC^1-complete
  • 本地全文:下载
  • 作者:Martin Mundhenk ; Felix Wei{\ss
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2011
  • 卷号:9
  • 页码:368-379
  • DOI:10.4230/LIPIcs.STACS.2011.368
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We investigate the complexity of the model checking problem for propositional intuitionistic logic. We show that the model checking problem for intuitionistic logic with one variable is complete for logspace-uniform AC^1, and for intuitionistic logic with two variables it is P-complete. For superintuitionistic logics with one variable, we obtain NC^1-completeness for the model checking problem and for the tautology problem.
  • 关键词:complexity; intuitionistic logic; model checking; ACi
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