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Generalized Sturmian languages

  • Automata and Formal Languages II
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Book cover Automata, Languages and Programming (ICALP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 944))

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Abstract

The purpose of this paper is to generalize some recent results about Sturmian words and morphisms. This is done by introducing a new mathematical interpretation of them, using the modern topological framework of laminations and train tracks. The main result is a description of a class of languages invariant by the action of a finitely generated monoid of morphisms (where classical Sturmian objects represent the case over an alphabet of two letters). We also discuss how these languages can be effectively constructed, and we show how topological results about Pseudo-Anosov homeomorphisms can be proved in terms of D0L-systems theory.

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Author information

Authors and Affiliations

  1. Université Marne-La-Vallée, France

    Luis-Miguel Lopez

  2. ENS Lyon et Université Paris 7, France

    Philippe Narbel

Authors
  1. Luis-Miguel Lopez
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  2. Philippe Narbel
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Editor information

Zoltán Fülöp Ferenc Gécseg

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© 1995 Springer-Verlag Berlin Heidelberg

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Lopez, LM., Narbel, P. (1995). Generalized Sturmian languages. In: Fülöp, Z., Gécseg, F. (eds) Automata, Languages and Programming. ICALP 1995. Lecture Notes in Computer Science, vol 944. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60084-1_86

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  • DOI: https://doi.org/10.1007/3-540-60084-1_86

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60084-8

  • Online ISBN: 978-3-540-49425-6

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