Köcher, Chris: Rational, recognizable, and aperiodic sets in the partially lossy queue monoid Original published in: 35th Symposium on Theoretical Aspects of Computer Science / STACS 35, 2018 Caen, France. - Saarbrücken/Wadern, Germany : Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, February, 2018. - (2018), art. 45, 14 pp. ISBN 978-3-95977-062-0 (Leibniz International Proceedings in Informatics (LIPIcs) ; 96) Original published: February 2018 ISSN: 1868-8969 DOI: 10.4230/LIPIcs.STACS.2018.45 [Visited: 2020-03-02] This work is licensed under a Creative Commons Attribution 3.0 Unported license. To view a copy of this license, visit http://creativecommons.org/licenses/BY/3.0/ TU Ilmenau | Universitätsbibliothek | ilmedia, 2020 http://www.tu-ilmenau.de/ilmedia Rational, Recognizable, and Aperiodic Sets in the Partially Lossy Queue Monoid Chris Köcher Technische Universität Ilmenau, Automata and Logics Group
[email protected] Abstract Partially lossy queue monoids (or plq monoids) model the behavior of queues that can forget arbitrary parts of their content. While many decision problems on recognizable subsets in the plq monoid are decidable, most of them are undecidable if the sets are rational. In particular, in this monoid the classes of rational and recognizable subsets do not coincide. By restricting multiplication and iteration in the construction of rational sets and by allowing complementation we obtain precisely the class of recognizable sets. From these special rational expressions we can