Affiliation:
1. Institut Gaspard Monge, Université de Marne-la-Vallée, 2, rue de la Butte Verte, 93166 Noisy-le-Grand Cedex, France
Abstract
For a given integer n, we define ωn-semigroups as a generalization of ω-semigroups for languages of words of length less than ωn+1. When they are finite, those algebraic structures define the same sets as those recognized by Choueka automata. These sets are also equivalent to regular expressions in which an unary ω operator standing for the infinite repetition of a language is as free as the Kleene closure operator is. Naturally, the notion of syntactic congruence still works on ωn-semigroups: among all ωn-semigroups recognizing a regular language X, there exists an unique ωn-semigroup of which all others are refinements.
Publisher
World Scientific Pub Co Pte Lt
Cited by
12 articles.
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