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  • 标题:On Polynomial Recursive Sequences
  • 本地全文:下载
  • 作者:Micha{"e}l Cadilhac ; Filip Mazowiecki ; Charles Paperman
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2020
  • 卷号:168
  • 页码:117:1-117:17
  • DOI:10.4230/LIPIcs.ICALP.2020.117
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We study the expressive power of polynomial recursive sequences, a nonlinear extension of the well-known class of linear recursive sequences. These sequences arise naturally in the study of nonlinear extensions of weighted automata, where (non)expressiveness results translate to class separations. A typical example of a polynomial recursive sequence is b_n = n!. Our main result is that the sequence u_n = nⁿ is not polynomial recursive.
  • 关键词:recursive sequences; expressive power; weighted automata; higher-order pushdown automata
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