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  • 标题:Limits on Alternation-Trading Proofs for Time-Space Lower Bounds
  • 本地全文:下载
  • 作者:Sam Buss, Ryan Williams
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2011
  • 卷号:2011
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:This paper characterizes alternation trading based proofs that satisfiability is not in the time and space bounded class \DTISP(n^c, n^\epsilon), for various values c<2 and \epsilon<1. We characterize exactly what can be proved in the \epsilon=0 case with currently known methods, and prove the conjecture of Williams that c=2\cos(\pi/7) is optimal for this. For time-space tradeoffs and lower bounds on satisfiability, we give a theoretical and computational analysis of the alternation trading proofs for 0<\epsilon<1.
  • 关键词:alternation trading proof, lower bounds, satisfiability, time space tradeoff
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