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On Grammars Controlled by Parikh Vectors

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Languages Alive

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7300))

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Abstract

We suggest a concept of grammars with controlled derivations where the Parikh vectors of all intermediate sentential forms have to be from a given restricting set. For several classes of restricting sets, we investigate set-theoretic and closure properties of the corresponding language families.

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References

  1. Berstel, J.: Transductions and Context-Free Languages. Teubner-Verlag, Stuttgart (1979)

    Book  MATH  Google Scholar 

  2. Brainerd, B.: An analog of a theorem about context-free languages. Information and Control 11, 561–567 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  3. Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer (1989)

    Google Scholar 

  4. Ginsburg, S., Spanier, E.: Derivation bounded languages. Journal of Computer and System Sciences 2, 228–250 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  5. Greibach, S.: Full AFLs and nested iterated substitution. Information and Control 16(1), 7–35 (1970)

    Article  MathSciNet  MATH  Google Scholar 

  6. Greibach, S.: A generalization of Parikh’s semilinear theorem. Discrete Mathematics 2, 347–355 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)

    MATH  Google Scholar 

  8. Stiebe, R.: Positive valence grammars. In: Csuhaj-Varjú, E., Kintala, C., Wotschke, D., Vaszil, G. (eds.) Fifth International Workshop Descriptional Complexity of Formal Systems, pp. 186–197. MTA SZTAKI, Budapest (2003)

    Google Scholar 

  9. Stiebe, R., Turaev, S.: Capacity bounded grammars. Journal of Automata, Languages and Combinatorics 15, 175–194 (2010)

    MATH  Google Scholar 

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Stiebe, R. (2012). On Grammars Controlled by Parikh Vectors. In: Bordihn, H., Kutrib, M., Truthe, B. (eds) Languages Alive. Lecture Notes in Computer Science, vol 7300. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31644-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-31644-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31643-2

  • Online ISBN: 978-3-642-31644-9

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