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Zbl 0889.68088
Rhodes, J.; Weil, P.
Algebraic and topological theory of languages. (English)
[J] RAIRO, Inform. Théor. Appl. 29, No.1, 1-44 (1995). ISSN 0988-3754

Summary: A language is torsion (resp. bounded torsion, aperiodic, bounded aperiodic), if its syntactic monoid is torsion (resp. bounded torsion, aperiodic, bounded aperiodic). We generalize the regular language theorems of Klenne, Schützenberger and Straubing to describe the classes of torsion, bounded torsion, aperiodic and bounded aperiodic languages. These descriptions involve taking limits of sequences of languages and automata for certain topologies defined by filtrations of the free monoid. A theorem for arbitrary languages over finite alphabets is also stated and proved.
MSC 2000:
*68Q45 Formal languages

Keywords: torsion language

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