descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1983 English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 24, pages 21-34 (issn: 0304-3975,

Authors: DE LUCA, ALDO; A. RESTIVO; S. SALEMI;

doi: 10.1016/0304-3975(83)90128-7

handle: 11588/347950

On the centers of a language

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Abstract

AbstractThe center of a language has been defined in [7, 8, 9] as the set of all words which have infinite right completions in the language. In this paper we extend this notion by taking into account also left and two-sided completions. Thus, for any language X, we consider the left center Cl(X), the right center Cr(X) and two different bilateral centers C1(X) and C2(X). Some properties of these centers are derived. In particular the main results of the paper give some general conditions under which C1(X)=C2(X)and Cr(Cl(X))=Cl(Cr(X)). These conditions deal with ‘strong’ and ‘weak’ iteration properties and ‘periodicity’ of a language.

Related Organizations

University of Palermo
Italy
University Federico II of Naples
Italy

Keywords

centers of a language, iteration properties, Formal languages and automata, Theoretical Computer Science, Computer Science(all)

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