Classes of languages generated by the Kleene star of a word

Laure Daviaud; Charles Paperman

doi:10.1016/j.ic.2018.07.002

Classes of languages generated by the Kleene star of a word

Laure Daviaud
, Charles Paperman

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	90-109
Number of pages	20
Journal	Information and Computation
Volume	262
Early online date	26 Sept 2018
DOIs	https://doi.org/10.1016/j.ic.2018.07.002
Publication status	Published - Oct 2018

Keywords

Automata theory
Decidability
Kleene star
Profinite equations
Regular languages

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10.1016/j.ic.2018.07.002Licence: Other

https://openaccess.city.ac.uk/id/eprint/21287Licence: CC BY-NC-ND

Cite this

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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.",

keywords = "Automata theory, Decidability, Kleene star, Profinite equations, Regular languages",

author = "Laure Daviaud and Charles Paperman",

note = "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). ",

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AU - Paperman, Charles

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N2 - 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.

AB - 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.

KW - Automata theory

KW - Decidability

KW - Kleene star

KW - Profinite equations

KW - Regular languages

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VL - 262

SP - 90

EP - 109

JO - Information and Computation

JF - Information and Computation

ER -

Classes of languages generated by the Kleene star of a word

Abstract

Keywords

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