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.ICALP.2020.137
URN: urn:nbn:de:0030-drops-125447
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12544/
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Paul, Erik

Finite Sequentiality of Finitely Ambiguous Max-Plus Tree Automata

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LIPIcs-ICALP-2020-137.pdf (0.6 MB)

Abstract

We show that the finite sequentiality problem is decidable for finitely ambiguous max-plus tree automata. A max-plus tree automaton is a weighted tree automaton over the max-plus semiring. A max-plus tree automaton is called finitely ambiguous if the number of accepting runs on every tree is bounded by a global constant. The finite sequentiality problem asks whether for a given max-plus tree automaton, there exist finitely many deterministic max-plus tree automata whose pointwise maximum is equivalent to the given automaton.

BibTeX - Entry

@InProceedings{paul:LIPIcs:2020:12544,
  author =	{Erik Paul},
  title =	{{Finite Sequentiality of Finitely Ambiguous Max-Plus Tree Automata}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{137:1--137:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12544},
  URN =		{urn:nbn:de:0030-drops-125447},
  doi =		{10.4230/LIPIcs.ICALP.2020.137},
  annote =	{Keywords: Weighted Tree Automata, Max-Plus Tree Automata, Finite Sequentiality, Decidability, Finite Ambiguity}
}

Keywords: Weighted Tree Automata, Max-Plus Tree Automata, Finite Sequentiality, Decidability, Finite Ambiguity
Collection: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue Date: 2020
Date of publication: 29.06.2020

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