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Zbl 0892.68056
Carton, O.
A hierarchy of cyclic languages. (English)
[J] RAIRO, Inform. Théor. Appl. 31, No.4, 355-369 (1997). ISSN 0988-3754

Summary: We introduce a hierarchy of cyclic languages. The $k$th level of this hierarchy consists of all cyclic languages which are equal to some Boolean combination of size $k$ of strongly cyclic languages. We then show how this hierarchy can be characterized by chains of idempotents in monoids. Finally, we give a method to compute an optimal (in the number of terms) decomposition of a cyclic language into strongly cyclic languages.
MSC 2000:
*68Q45 Formal languages

Keywords: hierarchy of cyclic languages

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