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.CONCUR.2023.3
URN: urn:nbn:de:0030-drops-189971
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18997/
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Michaliszyn, Jakub ; Otop, Jan ; Wieczorek, Piotr

Reachability and Bounded Emptiness Problems of Constraint Automata with Prefix, Suffix and Infix

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LIPIcs-CONCUR-2023-3.pdf (0.7 MB)

Abstract

We study constraint automata, which are finite-state automata over infinite alphabets consisting of tuples of words. A constraint automaton can compare the words of the consecutive tuples using Boolean combinations of the relations prefix, suffix, infix and equality.
First, we show that the reachability problem of such automata is PSpace-complete. Second, we study automata over infinite sequences with Büchi conditions. We show that the problem: given a constraint automaton, is there a bound B and a sequence of tuples of words of length bounded by B, which is accepted by the automaton, is also PSpace-complete. These results contribute towards solving the long-standing open problem of the decidability of the emptiness problem for constraint automata, in which the words can have arbitrary lengths.

BibTeX - Entry

@InProceedings{michaliszyn_et_al:LIPIcs.CONCUR.2023.3,
  author =	{Michaliszyn, Jakub and Otop, Jan and Wieczorek, Piotr},
  title =	{{Reachability and Bounded Emptiness Problems of Constraint Automata with Prefix, Suffix and Infix}},
  booktitle =	{34th International Conference on Concurrency Theory (CONCUR 2023)},
  pages =	{3:1--3:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-299-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{279},
  editor =	{P\'{e}rez, Guillermo A. and Raskin, Jean-Fran\c{c}ois},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18997},
  URN =		{urn:nbn:de:0030-drops-189971},
  doi =		{10.4230/LIPIcs.CONCUR.2023.3},
  annote =	{Keywords: constraint automata, emptiness problem}
}

Keywords: constraint automata, emptiness problem
Collection: 34th International Conference on Concurrency Theory (CONCUR 2023)
Issue Date: 2023
Date of publication: 07.09.2023

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