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  • 标题:Total Space in Resolution Is at Least Width Squared
  • 本地全文:下载
  • 作者:Ilario Bonacina
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:55
  • 页码:56:1-56:13
  • DOI:10.4230/LIPIcs.ICALP.2016.56
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Given an unsatisfiable k-CNF formula phi we consider two complexity measures in Resolution: width and total space. The width is the minimal W such that there exists a Resolution refutation of phi with clauses of at most W literals. The total space is the minimal size T of a memory used to write down a Resolution refutation of phi where the size of the memory is measured as the total number of literals it can contain. We prove that T = Omega((W - k)^2).
  • 关键词:Resolution; width; total space
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