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String grammars with disconnecting

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Fundamentals of Computation Theory (FCT 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 199))

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Abstract

The complexity of languages generated by context-free grammars with disconnecting is investigated. It is shown that even linear and deterministic context-free languages can generate languages of multisets, the membership problem of which is NP-complete. In contrast to that, this problem is in DSPACE(log n) for regular sets.

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References

  1. W. Bucher and H. Maurer, Theoretische Grundlagen der Programmier-sprachen — Automaten und Sprachen, BI, Mannheim, Reihe Informatik/41, 1984.

    Google Scholar 

  2. M.A. Harrison, Introduction to Formal Language Theory, Addison-Wesley Publ., Reading, 1978.

    Google Scholar 

  3. J. Hopcroft and J. Ullman, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley Publ., Reading, 1979.

    Google Scholar 

  4. H.-J. Kreowski, A pumping lemma for context-free graph languages, Lecture Notes in Computer Science 73, (1979), 270–283.

    Google Scholar 

  5. K.-J. Lange and E. Welzl, String grammars with disconnecting or a basic root of the difficulty in graph grammar parsing, Hamburg 1984, submitted for publication.

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  6. T.W. Pratt, Pair grammars, graph languages and string-to-graph translations, J. of Comput. System Sci. 5 (1971), 560–595.

    Google Scholar 

  7. G. Rozenberg and E. Welzl, Boundary NLC graph grammars — basic definitions, normal forms, and complexity, Report 84-29, Inst. of Appl. Math. and Comput. Sci., University of Leiden, 1984.

    Google Scholar 

  8. K. Ruohonen, Developmental systems with interaction and fragmentation, Information and Control 28 (1975), 91–112.

    Google Scholar 

  9. K. Ruohonen, JL systems with non-fragmented axioms: the hierarchy, Internat. J. of Comput. Math. 5 (1975), 143–156.

    Google Scholar 

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Lothar Budach

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© 1985 Springer-Verlag Berlin Heidelberg

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Lange, KJ., Welzl, E. (1985). String grammars with disconnecting. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1985. Lecture Notes in Computer Science, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028809

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  • DOI: https://doi.org/10.1007/BFb0028809

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15689-5

  • Online ISBN: 978-3-540-39636-9

  • eBook Packages: Springer Book Archive

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