Classes of languages generated by the Kleene star of a word

Daviaud, Laure and Paperman, Charles (2018) Classes of languages generated by the Kleene star of a word. Information and Computation, 262. pp. 90-109. ISSN 0890-5401

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Abstract

In this paper, we study the lattice and the Boolean algebra, possibly closed under quotient, generated by the languages of the form u⁎, where u is a word. We provide effective equational characterisations of these classes, i.e. one can decide using our descriptions whether a given regular language belongs or not to each of them.

Item Type:	Article
Additional Information:	Funding Information: This work was carried out when the first author was supported by ANR Project ELICA ANR-14-CE25-0005 and by ANR Project RECRE ANR-11-BS02-0010 (ENS Lyon, France) and the second author by Warsaw Center of Mathematics and Computer Science (WCMCS) (Poland).
Uncontrolled Keywords:	automata theory,decidability,kleene star,profinite equations,regular languages,theoretical computer science,information systems,computer science applications,computational theory and mathematics ,/dk/atira/pure/subjectarea/asjc/2600/2614
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) Faculty of Science > Research Groups > Data Science and AI
Related URLs:	http://www.scopus.com/inward/record.url?... https://openaccess.city.ac.uk/id/eprint/...
Depositing User:	LivePure Connector
Date Deposited:	07 Jun 2023 13:30
Last Modified:	10 Dec 2024 01:42
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92316
DOI:	10.1016/j.ic.2018.07.002

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