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About One-Sided One-Symbol Insertion-Deletion P Systems

  • Conference paper
Membrane Computing (CMC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8340))

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Abstract

In this article we consider insertion-deletion P systems inserting or deleting one symbol in one or two symbol(s) left context (more precisely of size (1,2,0;1,1,0) and (1,1,0;1,2,0)). We show that computational completeness can be achieved by using only 3 membranes in a tree-like structure. Hence we obtain a trade-off between the sizes of contexts of insertion and deletion rules and the number of membranes sufficient for computational completeness.

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References

  1. Alhazov, A., Krassovitskiy, A., Rogozhin, Y., Verlan, S.: Small size insertion and deletion systems. In: Martin-Vide, C. (ed.) Scientific Applications of Language Methods. Mathematics, Computing, Language, and Life: Frontiers in Mathematical Linguistics and Language Theory, vol. 2, ch. 9, pp. 459–524. World Sci. (2010)

    Google Scholar 

  2. Alhazov, A., Krassovitskiy, A., Rogozhin, Y., Verlan, S.: P Systems with Minimal Insertion and Deletion. Theoretical Computer Science 412(1-2), 136–144 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  3. Benne, R.: RNA Editing: The Alteration of Protein Coding Sequences of RNA. Ellis Horwood, Chichester, West Sussex (1993)

    Google Scholar 

  4. Biegler, F., Burrell, M.J., Daley, M.: Regulated RNA rewriting: Modelling RNA editing with guided insertion. Theor. Comput. Sci. 387(2), 103–112 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Csuhaj-Varjú, E., Salomaa, A.: Networks of Parallel Language Processors. In: Păun, G., Salomaa, A. (eds.) NTFL. LNCS, vol. 1218, pp. 299–318. Springer, Heidelberg (1997)

    Google Scholar 

  6. Daley, M., Kari, L., Gloor, G., Siromoney, R.: Circular contextual insertions/deletions with applications to biomolecular computation. In: SPIRE/CRIWG, pp. 47–54 (1999)

    Google Scholar 

  7. Freund, R., Kogler, M., Rogozhin, Y., Verlan, S.: Graph-controlled insertion-deletion systems. In: McQuillan, I., Pighizzini, G. (eds.) Proc. of 12th Workshop on Descriptional Complexity of Formal Systems. EPTCS, vol. 31, pp. 88–98 (2010)

    Google Scholar 

  8. Galiukschov, B.: Semicontextual grammars. Matem. Logica i Matem. Lingvistika, 38–50, Tallin University (1981) (in Russian)

    Google Scholar 

  9. Geffert, V.: Normal forms for phrase-structure grammars. ITA 25, 473–498 (1991)

    MATH  MathSciNet  Google Scholar 

  10. Haussler, D.: Insertion and Iterated Insertion as Operations on Formal Languages. PhD thesis, Univ. of Colorado at Boulder (1982)

    Google Scholar 

  11. Haussler, D.: Insertion languages. Information Sciences 31(1), 77–89 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  12. Kari, L.: On Insertion and Deletion in Formal Languages. PhD thesis, University of Turku (1991)

    Google Scholar 

  13. Kari, L., Păun, G., Thierrin, G., Yu, S.: At the crossroads of DNA computing and formal languages: Characterizing RE using insertion-deletion systems. In: Proc. of 3rd DIMACS Workshop on DNA Based Computing, Philadelphia, pp. 318–333 (1997)

    Google Scholar 

  14. Kleene, S.C.: Representation of events in nerve nets and finite automata. In: Shannon, C., McCarthy, J. (eds.) Automata Studies, pp. 3–41. Princeton University Press, Princeton (1956)

    Google Scholar 

  15. Krassovitskiy, A.: Complexity and Modeling Power of Insertion-Deletion Systems. PhD thesis, Universitat Rovira i Virgili, Tarragona, Spain (2011)

    Google Scholar 

  16. Krassovitskiy, A., Rogozhin, Y., Verlan, S.: Further results on insertion-deletion systems with one-sided contexts. In: Martín-Vide, C., Otto, F., Fernau, H. (eds.) LATA 2008. LNCS, vol. 5196, pp. 333–344. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  17. Krassovitskiy, A., Rogozhin, Y., Verlan, S.: Computational power of P systems with small size insertion and deletion rules. In: Neary, T., Woods, D., Seda, A.K., Murphy, N. (eds.) Proc. International Workshop on The Complexity of Simple Programs, Cork, Ireland, December 6-7. EPTCS, vol. 1, pp. 108–117 (2009)

    Google Scholar 

  18. Krassovitskiy, A., Rogozhin, Y., Verlan, S.: Computational power of insertion-deletion (P) systems with rules of size two. Natural Computing 10(2), 835–852 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  19. Marcus, S.: Contextual grammars. Rev. Roum. Math. Pures Appl. 14, 1525–1534 (1969)

    MATH  Google Scholar 

  20. Margenstern, M., Păun, G., Rogozhin, Y., Verlan, S.: Context-free insertion-deletion systems. Theor. Comput. Sci. 330(2), 339–348 (2005)

    Article  MATH  Google Scholar 

  21. Matveevici, A., Rogozhin, Y., Verlan, S.: Insertion-deletion systems with one-sided contexts. In: Durand-Lose, J., Margenstern, M. (eds.) MCU 2007. LNCS, vol. 4664, pp. 205–217. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  22. Păun, G.: Marcus Contextual Grammars. Kluwer Academic Publishers, Norwell (1997)

    Book  MATH  Google Scholar 

  23. Păun, G.: Membrane Computing. An Introduction. Springer (2002)

    Google Scholar 

  24. Păun, G., Rozenberg, G., Salomaa, A.: DNA Computing: New Computing Paradigms. Springer (1998)

    Google Scholar 

  25. Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages. Springer, Berlin (1997)

    MATH  Google Scholar 

  26. Smith, W.D.: DNA computers in vitro and in vivo. In: Lipton, R., Baum, E. (eds.) Proceedings of DIMACS Workshop on DNA Based Computers. DIMACS Series in Discrete Math. and Theoretical Computer Science, pp. 121–185. Amer. Math. Society (1996)

    Google Scholar 

  27. Takahara, A., Yokomori, T.: On the computational power of insertion-deletion systems. In: Hagiya, M., Ohuchi, A. (eds.) DNA8. LNCS, vol. 2568, pp. 269–280. Springer, Heidelberg (2003)

    Google Scholar 

  28. Verlan, S.: On minimal context-free insertion-deletion systems. Journal of Automata, Languages and Combinatorics 12(1-2), 317–328 (2007)

    MATH  MathSciNet  Google Scholar 

  29. Verlan, S.: Study of language-theoretic computational paradigms inspired by biology. Habilitation thesis, University of Paris Est (2010)

    Google Scholar 

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Ivanov, S., Verlan, S. (2014). About One-Sided One-Symbol Insertion-Deletion P Systems. In: Alhazov, A., Cojocaru, S., Gheorghe, M., Rogozhin, Y., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. CMC 2013. Lecture Notes in Computer Science, vol 8340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54239-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-54239-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54238-1

  • Online ISBN: 978-3-642-54239-8

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