A celebrated result of Schützenberger says that a language is star-free if and only if it is is recognized by a finite aperiodic monoid. We give a new proof for this theorem using local divisors. © 2014 Springer International Publishing.
Published inLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages23 - 28
CitationKUFLEITNER, M., 2014. Star-free languages and local divisors. IN: Jurgensen, H., Karhumaki, J. and Okhotin, A. (eds.) Descriptional Complexity of Formal Systems, 16th International Workshop, DCFS 2014, Turku, Finland, August 5-8, 2014. Proceedings. Chaim: Springer, pp. 23-28.
VersionAM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis is a pre-copyedited version of a contribution published in Jurgensen, H., Karhumaki, J. and Okhotin, A. (eds.) Descriptional Complexity of Formal Systems, 16th International Workshop, DCFS 2014, published by Springer International. The definitive authenticated version is available online via https://doi.org/10.1007/978-3-319-09704-6_3
Book seriesLecture Notes in Computer Science;8614