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  • 标题:Satisfiability Algorithm for Syntactic Read-$k$-times Branching Programs
  • 本地全文:下载
  • 作者:Atsuki Nagao ; Kazuhisa Seto ; Junichi Teruyama
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2017
  • 卷号:92
  • 页码:58:1-58:10
  • DOI:10.4230/LIPIcs.ISAAC.2017.58
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:The satisfiability of a given branching program is to determine whether there exists a consistent path from the root to 1-sink. In a syntactic read-k-times branching program, each variable appears at most k times in any path from the root to a sink. We provide a satisfiability algorithm for syntactic read-k-times branching programs with n variables and m edges that runs in time O\left(\poly(n, m^{k^2})\cdot 2^{(1-\mu(k))n}\right), where \mu(k) = \frac{1}{4^{k+1}}. Our algorithm is based on the decomposition technique shown by Borodin, Razborov and Smolensky [Computational Complexity, 1993].
  • 关键词:branching program; read-k-times; satisfiability; moderately exponential time; polynomial space
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