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Languages Defined by Generalized Equality Sets

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Fundamentals of Computation Theory (FCT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2751))

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Abstract

We consider the generalized equality sets which are of the form E G (a,g 1,g 2) = { w | g 1(w) = ag 2(w)}, determined by instances of the generalized Post Correspondence Problem, where the morphisms g 1 and g 2 are nonerasing and a is a letter. We are interested in the family consisting of the languages h(E G (J)), where h is a coding and J is a shifted equality set of the above form. We prove several closure properties for this family.

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References

  1. Ginsburg, S.: Algebraic and Automata-theoretic Properties of Formal Languages. North-Holland, Amsterdam (1975)

    MATH  Google Scholar 

  2. Halava, V., Harju, T., Hoogeboom, H.J., Latteux, M.: Valence Languages Generated by Generalized Equality Sets, Tech. Report 502, Turku Centre for Computer Science (August 2002) (submitted)

    Google Scholar 

  3. Harju, T., Karhumäki, J.: Morphisms. Handbook of Formal Languages. In: Rozenberg, G., Salomaa, A. (eds.), vol. 1, Springer, Heidelberg (1997)

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  4. Latteux, H., Leguy, J.: On the composition of morphisms and inverse morphisms. In: Díaz, J. (ed.) ICALP 1983. LNCS, vol. 154, pp. 420–432. Springer, Heidelberg (1983)

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  5. Latteux, H., Leguy, J.: On Usefulness of Bifaithful Rational cones. Math. Systems Theory 18, 19–32 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  6. Păun, G.: A new generative device: valence grammars, Revue Roumaine de Math. Pures et Appliquées 6, 911–924 (1980)

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  7. Salomaa, A.: Formal Languages. Academic Press, New York (1973)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and TUCS – Turku Centre for Computer Science, University of Turku, FIN-20014, Turku, Finland

    Vesa Halava & Tero Harju

  2. Dept. of Comp. Science, Leiden University, P.O. Box 9512, 2300, RA, Leiden, The Netherlands

    Hendrik Jan Hoogeboom

  3. Université des Sciences et Technologies de Lille, Bâtiment M3, 59655 Cédex, Villeneuve d’Ascq, France

    Michel Latteux

Authors
  1. Vesa Halava
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  2. Tero Harju
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  3. Hendrik Jan Hoogeboom
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  4. Michel Latteux
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Lund University, 22100, Lund, Sweden

    Andrzej Lingas

  2. School of Technology and Society, Malmö University, SE-205 06, Malmö, Sweden

    Bengt J. Nilsson

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© 2003 Springer-Verlag Berlin Heidelberg

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Halava, V., Harju, T., Hoogeboom, H.J., Latteux, M. (2003). Languages Defined by Generalized Equality Sets. In: Lingas, A., Nilsson, B.J. (eds) Fundamentals of Computation Theory. FCT 2003. Lecture Notes in Computer Science, vol 2751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45077-1_33

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  • DOI: https://doi.org/10.1007/978-3-540-45077-1_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40543-6

  • Online ISBN: 978-3-540-45077-1

  • eBook Packages: Springer Book Archive

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