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License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2020.9
URN: urn:nbn:de:0030-drops-116521
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/11652/
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Barloy, Corentin ; Fijalkow, Nathanaël ; Lhote, Nathan ; Mazowiecki, Filip

A Robust Class of Linear Recurrence Sequences

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LIPIcs-CSL-2020-9.pdf (0.7 MB)

Abstract

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.

BibTeX - Entry

@InProceedings{barloy_et_al:LIPIcs:2020:11652,
  author =	{Corentin Barloy and Nathana{\"e}l Fijalkow and Nathan Lhote and Filip Mazowiecki},
  title =	{{A Robust Class of Linear Recurrence Sequences}},
  booktitle =	{28th EACSL Annual Conference on Computer Science Logic (CSL 2020)},
  pages =	{9:1--9:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-132-0},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{152},
  editor =	{Maribel Fern{\'a}ndez and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/11652},
  URN =		{urn:nbn:de:0030-drops-116521},
  doi =		{10.4230/LIPIcs.CSL.2020.9},
  annote =	{Keywords: linear recurrence sequences, weighted automata, cost-register automata}
}

Keywords: linear recurrence sequences, weighted automata, cost-register automata
Collection: 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Issue Date: 2020
Date of publication: 06.01.2020

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