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  • 标题:Counting paths in VPA is complete for \#NC1
  • 本地全文:下载
  • 作者:Andreas Krebs ; Nutan Limaye ; Meena Mahajan
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2010
  • 卷号:2010
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:We give a \#NC1 upper bound for the problem of counting accepting paths in any fixed visibly pushdown automaton. Our algorithm involves a non-trivial adaptation of the arithmetic formula evaluation algorithm of Buss, Cook, Gupta, Ramachandran (BCGR: SICOMP 21(4), 1992). We also show that the problem is \#NC1 hard. Our results show that the difference between \#BWBP and \#NC1 is captured exactly by the addition of a visible stack to a nondeterministic finite-state automata.
  • 关键词:arithmetic circuits, counting classes, visibly pushdown automata
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