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  • 标题:A Robust Class of Linear Recurrence Sequences
  • 本地全文:下载
  • 作者:Corentin Barloy ; Nathana{"e}l Fijalkow ; Nathan Lhote
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2020
  • 卷号:152
  • 页码:1-16
  • DOI:10.4230/LIPIcs.CSL.2020.9
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We introduce a subclass of linear recurrence sequences which we call poly-rational sequences because they are denoted by rational expressions closed under sum and product. We show that this class is robust by giving several characterisations: polynomially ambiguous weighted automata, copyless cost-register automata, rational formal series, and linear recurrence sequences whose eigenvalues are roots of rational numbers.
  • 关键词:linear recurrence sequences; weighted automata; cost-register automata
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