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Sur deux langages linéaires

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Theoretical Computer Science 4th GI Conference

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 67))

Abstract

First, we prove that if the language Sym = {w w R /w ε {a,b}*} belongs to F σ(L), the smallest substitution closed full AFL generated by the family L, then there exists a language L ε L such that Sym ε C(L). We prove that this property does not hold for C 1={anbn/n ≥0 }, by characterizing the languages \(L \subseteq C_1 \) such that C 1 ε C(L).

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Références

  1. J.M. Autebert, J. Beauquier et L. Boasson, "Contribution à l'étude des cônes minimaux", C.R. Acad. Sc. 287 (1978), 353–355.

    Google Scholar 

  2. J. Beauquier, "Substitutions de langages linéaires et à compteur", 1978, soumis à J. Comp. Syst. Sc..

    Google Scholar 

  3. J. Berstel, "Transductions and Context-free languages", Teubner Verlag, 1979.

    Google Scholar 

  4. J. Berstel et L. Boasson, "Une suite décroissante de cônes rationnels", in Loeckx (Ed.), Automata, languages and programming, 2nd Colloquium, Saarbrücken, Springer Verlag (1974), 383–397.

    Google Scholar 

  5. J.L. Durieux, "Sur l'image, par une transduction rationnelle, des mots sur une lettre", RAIRO Informatique Théorique (1975), 25–37.

    Google Scholar 

  6. S. Ginsburg et E.H. Spanier, "On incomparable abstract families of languages (AFL)", J. Comp. Syst. Sc. 9 (1974), 88–108.

    Google Scholar 

  7. J. Goldstine, "Substitution and bounded languages", J. Comp. Syst. Sc. 6 (1972), 9–29.

    Google Scholar 

  8. J. Goldstine, "Bounded AFL's", J. Comp. Syst. Sc. 12 (1976), 399–419.

    Google Scholar 

  9. S. Greibach, "Chains of full AFL's", Math. Syst. Theory 4 (1970), 231–242.

    Article  Google Scholar 

  10. S. Greibach, "Simple Syntactic Operators on full semi-AFL's", J. Comp. Syst. Sc. 6 (1972), 30–76.

    Google Scholar 

  11. M. Latteux, "Cônes rationnels commutativement clos", RAIRO Informatique Théorique 11 (1977), 29–51.

    Google Scholar 

  12. M. Latteux, "Cônes rationnels commutatifs", 1977, à paraître dans J. Comp. Syst. Sc.

    Google Scholar 

  13. M. Latteux, "Languages commutatifs", Thèse de Doctorat d'Etat, Université de Lille I, 1978.

    Google Scholar 

  14. M. Nivat, "Transductions des languages de Chomsky", Annales de l'Institut Fourier 18 (1968), 339–456.

    Google Scholar 

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Authors

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K. Weihrauch

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© 1979 Springer-Verlag Berlin Heidelberg

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Latteux, M. (1979). Sur deux langages linéaires. In: Weihrauch, K. (eds) Theoretical Computer Science 4th GI Conference. Lecture Notes in Computer Science, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09118-1_20

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  • DOI: https://doi.org/10.1007/3-540-09118-1_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09118-9

  • Online ISBN: 978-3-540-35517-5

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