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Computation, Cooperation, and Life pp 90–106Cite as

On the Expressive Power of Valences in Cooperating Distributed Grammar Systems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6610))

Abstract

This paper introduces three different ways of combining valences into CD grammar systems. We focus on characterizing and comparing the obtained language families. Interestingly, the underlying concepts had some anniversaries this year: Valence grammars were introduced 30 years ago, and the first paper that combined valences and CD grammar systems was published 20 years ago.

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References

  1. Păun, G.: A new generative device: valence grammars. Rev. Roumaine Math. Pures Appl. XXV(6), 911–924 (1980)

    MathSciNet  MATH  Google Scholar 

  2. Csuhaj–Varjú, E., Dassow, J.: On cooperating/distributed grammar systems. J. Inf. Process. Cybern. EIK (formerly Elektron. Inf. verarb. Kybern.) 26(1/2), 49–63 (1990)

    MATH  Google Scholar 

  3. Csuhaj–Varjú, E., Dassow, J., Kelemen, J., Păun, G.: Grammar Systems: A Grammatical Approach to Distribution and Cooperation. Gordon and Breach, London (1994)

    MATH  Google Scholar 

  4. Dassow, J., Păun, G.: Cooperating/distributed grammar systems with registers. Foundations of Control Engineering 15(1), 1–38 (1990)

    MathSciNet  MATH  Google Scholar 

  5. Vicolov, S.: Cooperating/distributed grammar systems with registers: the regular case. Computers and Artificial Intelligence 12(1), 89–98 (1993)

    MathSciNet  Google Scholar 

  6. Vicolov-Dumitrescu, S.: Grammars, grammar systems, and gsm mappings with valences. In: Păun, G. (ed.) Mathematical Aspects of Natural and Formal Languages. World Scientific Series in Computer Science, vol. 43, pp. 473–491. World Scientific, Singapore (1994)

    Chapter  Google Scholar 

  7. Dumitrescu, S.: Characterizing of RE using CD grammar systems with two registers and RL rules. In: Păun, G., Salomaa, A. (eds.) New Trends in Formal Languages. LNCS, vol. 1218, pp. 167–177. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  8. Fernau, H., Stiebe, R.: Valences in Lindenmayer systems. Fundamenta Informaticae 45, 329–358 (2001)

    MathSciNet  MATH  Google Scholar 

  9. Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. EATCS Monographs in Theoretical Computer Science, vol. 18. Springer, Heidelberg (1989)

    Book  MATH  Google Scholar 

  10. Boasson, L.: An iteration theorem for one-counter languages. In: STOC, pp. 116–120. ACM, New York (1971)

    Google Scholar 

  11. Mitrana, V., Stiebe, R.: Extended finite automata over groups. Discrete Applied Mathematics 108, 287–300 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  12. Marcus, M., Păun, G.: Valence gsm-mappings, Bull. Math. Soc. Sci. Math. Roumanie. 31(3), 219–229 (1987)

    MathSciNet  MATH  Google Scholar 

  13. Fernau, H., Freund, R., Holzer, M.: Hybrid modes in cooperating distributed grammar systems: internal versus external hybridization. Theoretical Computer Science 259(1-2), 405–426 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  14. Fernau, H., Holzer, M., Freund, R.: Hybrid modes in cooperating distributed grammar systems: combining the t-mode with the modes ≤ k and = k. Theoretical Computer Science 299, 633–662 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  15. Mitrana, V.: Hybrid cooperating/distributed grammar systems. Computers and Artificial Intelligence 12(1), 83–88 (1993)

    MathSciNet  MATH  Google Scholar 

  16. Hauschildt, D., Jantzen, M.: Petri net algorithms in the theory of matrix grammars. Acta Informatica 31, 719–728 (1994)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Fachbereich IV, Abteilung Informatik, Universität Trier, D–54286, Trier, Germany

    Henning Fernau

  2. Fakultät für Informatik, Otto-von-Guericke-Universität Magdeburg, PF-4120, D-39016, Magdeburg, Germany

    Ralf Stiebe

Authors
  1. Henning Fernau
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  2. Ralf Stiebe
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Editor information

Editors and Affiliations

  1. Institute of Computer Science, Silesian University, 74601, Opava, Czech Republic

    Jozef Kelemen  & Alica Kelemenová  & 

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Fernau, H., Stiebe, R. (2011). On the Expressive Power of Valences in Cooperating Distributed Grammar Systems. In: Kelemen, J., Kelemenová, A. (eds) Computation, Cooperation, and Life. Lecture Notes in Computer Science, vol 6610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20000-7_8

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  • DOI: https://doi.org/10.1007/978-3-642-20000-7_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19999-8

  • Online ISBN: 978-3-642-20000-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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