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One-sided Dyck reduction over two letter alphabet and deterministic context-free languages

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 233))

Abstract

We characterize the deterministic context-free languages that are unions of equivalence classes in the equivalence generated by the one-sided Dyck reduction over a two-letter alphabet.

This research was supported in part by A.D.I. under contract 83/695

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5. References

  1. M. Benois: Parties rationnelles du groupe libre C.R. Acad. Sc. Paris, Ser. A 269, 1969, 1188–1190.

    Google Scholar 

  2. R. Book, M. Jantzen, and C. Wrathall: Monadic Thue Systems, Theoret. Comput. Sci 19, 1982, 231–251.

    Google Scholar 

  3. A. H. Clifford, and G. B. Preston: The algebraic theory of semigroups, Amer. Math. Soc, Vol 1: 1961, Vol 2: 1967.

    Google Scholar 

  4. Y. Cochet et M. Nivat: Une généralisation des ensembles de Dyck, Israel J. of Math. 9, 1971, 389–395.

    Google Scholar 

  5. G. Duchamp: Etude d'un treillis, relations d'équivalence régulières sur le monoïde bicyclique, to appear.

    Google Scholar 

  6. S. Ginsburg and S. Greibach: Deterministic context-free languages, Inform. and Control 9, 1966, 620–648.

    Google Scholar 

  7. M. Harrison: Introduction to formal language theory, Addison Wesley, 1978.

    Google Scholar 

  8. M. Jantzen: Thue systems and the Church-Rosser property, M.F.C.S. 1984, Lecture Notes in Computer Science 176, Springer, 1984, 80–95.

    Google Scholar 

  9. M. Nivat: On some families of languages related to the Dyck lnaguage, in Proc. of the Second Annual ACM Symp. on Computing, 1970, 221–225.

    Google Scholar 

  10. J.F. Perrot: Monoïdes syntactiques des langages algébriques, Acta Informatica 7, 1977, 399–413.

    Google Scholar 

  11. J.F. Perrot et J. Sakarovitch: Lanages algébriques déterministes et groupes abéliens, in Automata Theory and Formal Languages (H. Brakhage, ed.), Lecture Notes in Computer Science 33, Springer, 1975, 20–30.

    Google Scholar 

  12. J. Sakarovitch: Syntaxe des langages de Chomsky. Th. Sc. Math., Univ. Paris VII, Paris, 1979.

    Google Scholar 

  13. J. Sakarovitch: Théorème de transversale rationnelle pour les automates à pile déterministes, in Proc. of 4th G.I. Conference on Theorical Computer Science (K. Weihrauch ed.), Lecture Notes in Computer Science 67, Springer, 1979, 276–285.

    Google Scholar 

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Jozef Gruska Branislav Rovan Juraj Wiedermann

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© 1986 Springer-Verlag Berlin Heidelberg

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Romian, F., Sakarovitch, J. (1986). One-sided Dyck reduction over two letter alphabet and deterministic context-free languages. In: Gruska, J., Rovan, B., Wiedermann, J. (eds) Mathematical Foundations of Computer Science 1986. MFCS 1986. Lecture Notes in Computer Science, vol 233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016282

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  • DOI: https://doi.org/10.1007/BFb0016282

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16783-9

  • Online ISBN: 978-3-540-39909-4

  • eBook Packages: Springer Book Archive

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