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文章基本信息

  • 标题:Unprovability of circuit upper bounds in Cook's theory PV
  • 本地全文:下载
  • 作者:Oliveira, Igor C. ; Krajicek, Jan
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2017
  • 卷号:13
  • 期号:1
  • 语种:English
  • 出版社:Technical University of Braunschweig
  • 摘要:We establish unconditionally that for every integer $k \geq 1$ there is alanguage $L \in \mbox{P}$ such that it is consistent with Cook's theory PV that$L \notin Size(n^k)$. Our argument is non-constructive and does not provide anexplicit description of this language.
  • 关键词:F.4.1;03F30, 68Q15;Computer Science - Computational Complexity;Mathematics - Logic
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