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  • 标题:Resolution Lower Bounds for the Weak Functional Pigeonhole Principle
  • 本地全文:下载
  • 作者:Alexander Razborov
  • 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:We show that every resolution proof of the {\em functional} version FPH P n m of the pigeonhole principle (in which one pigeon may not split between several holes) must have size exp \of \of n ( log m ) 2 . This implies an exp \of ( n 1 3 ) bound when the number of pigeons m is arbitrary.
  • 关键词:propositional proof complexity , Resolution , Weak functional pigeonhole principle
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