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Classes of languages generated by the Kleene star of a word

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Daviaud, Laure and Paperman, Charles (2018) Classes of languages generated by the Kleene star of a word. Information and Computation, 262 (Part 1). pp. 90-109. doi:10.1016/j.ic.2018.07.002 ISSN 0890-5401.

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Official URL: https://doi.org/10.1016/j.ic.2018.07.002

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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: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science, Engineering and Medicine > Science > Computer Science
Library of Congress Subject Headings (LCSH): Machine theory, Formal languages, Programming languages (Electronic computers), Logic, Symbolic and mathematical
Journal or Publication Title: Information and Computation
Publisher: Academic Press
ISSN: 0890-5401
Official Date: October 2018
Dates:
DateEvent
18 July 2018Available
October 2018Published
22 June 2018Accepted
Volume: 262
Number: Part 1
Page Range: pp. 90-109
DOI: 10.1016/j.ic.2018.07.002
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 19 July 2018
Date of first compliant Open Access: 18 July 2019
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
ELICA ANR-14-CE25-0005[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665
RECRE ANR-11-BS02-0010[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665
UNSPECIFIEDWarsaw Center of Mathematics and Computer ScienceUNSPECIFIED
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