City Research Online

Classes of languages generated by the Kleene star of a word

Daviaud, L. & Paperman, C. (2018). Classes of languages generated by the Kleene star of a word. Information and Computation, 262, pp. 90-109. doi: 10.1016/j.ic.2018.07.002

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.

Publication Type: Article
Additional Information: © 2018 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Publisher Keywords: Automata theory, Regular languages, Profinite equations, Kleene star, Decidability
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments: School of Science & Technology > Computer Science
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