License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2021.50
URN: urn:nbn:de:0030-drops-155613
URL: https://drops.dagstuhl.de/opus/volltexte/2021/15561/
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Lasota, SÅ‚awomir ; Pattathurajan, Mohnish

Parikh Images of Register Automata

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Abstract

As it has been recently shown, Parikh images of languages of nondeterministic one-register automata are rational (but not semilinear in general), but it is still open if the property extends to all register automata. We identify a subclass of nondeterministic register automata, called hierarchical register automata (HRA), with the following two properties: every rational language is recognised by a HRA; and Parikh image of the language of every HRA is rational. In consequence, these two properties make HRA an automata-theoretic characterisation of languages of nondeterministic register automata with rational Parikh images.

BibTeX - Entry

@InProceedings{lasota_et_al:LIPIcs.FSTTCS.2021.50,
  author =	{Lasota, S{\l}awomir and Pattathurajan, Mohnish},
  title =	{{Parikh Images of Register Automata}},
  booktitle =	{41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)},
  pages =	{50:1--50:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-215-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{213},
  editor =	{Boja\'{n}czy, Miko{\l}aj and Chekuri, Chandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/15561},
  URN =		{urn:nbn:de:0030-drops-155613},
  doi =		{10.4230/LIPIcs.FSTTCS.2021.50},
  annote =	{Keywords: Sets with atoms, register automata, Parikh images, rational sets, hierarchical register automata}
}

Keywords: Sets with atoms, register automata, Parikh images, rational sets, hierarchical register automata
Collection: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)
Issue Date: 2021
Date of publication: 29.11.2021


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