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Descriptional Complexity of Tissue-Like P Systems with Cell Division

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Unconventional Computation (UC 2009)

Abstract

In this paper we address the problem of describing the complexity of the evolution of a tissue-like P system with cell division. In the computations of such systems the number of (parallel) steps is not sufficient to evaluate the complexity. Following this consideration, Sevilla Carpets were introduced as a tool to describe the space-time complexity of P systems.

Sevilla Carpets have already been used to compare two different solutions of the Subset Sum problem (both designed in the framework of P systems with active membranes) running on the same instance. In this paper we extend the comparison to the framework of tissue-like P systems with cell division.

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References

  1. Ciobanu, G., Păun, G., Ştefănescu, G.: Sevilla Carpets Associated with P Systems. In: Cavaliere, M., Martín–Vide, C., Păun, G. (eds.) Proceedings of the Brainstorming Week on Membrane Computing, Tarragona, Spain, Report RGML 26/03, pp. 135–140 (2003)

    Google Scholar 

  2. Díaz-Pernil, D., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving Subset Sum in Linear Time by Using Tissue P Systems with Cell Division. In: Mira, J., Álvarez, J.R. (eds.) IWINAC 2007. LNCS, vol. 4527, pp. 170–179. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Towards a programming language in cellular computing. Electronic Notes in Theoretical Computer Science 123, 93–110 (2005)

    Article  MathSciNet  Google Scholar 

  4. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: On Descriptive Complexity of P Systems. In: Mauri, G., Păun, G., Jesús Pérez-Jímenez, M., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 320–330. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: On the Degree of Parallelism in Membrane Systems. Theoretical Computer Science 372(2-3), 183–195 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Mäkinen, E.: A Bibliography on Szilard Languages, Dept. of Computer and Information Sciences, University of Tampere, http://www.cs.uta.fi/reports/pdf/Szilard.pdf

  7. Mateescu, A., Salomaa, A.: Aspects of Classical Language Theory. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, vol. 1. Springer, Heidelberg (1997)

    Google Scholar 

  8. Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Tissue P System with cell division. International Journal of Computers, Communications & Control 3(3), 295–303 (2008)

    Article  Google Scholar 

  9. Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving the Subset Sum Problem by Active Membranes. New Generation Computing 23(4), 367–384 (2005)

    MATH  Google Scholar 

  10. Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. In: Csuhaj-Varjú, E., Kintala, C., Wotschke, D., Vaszyl, G. (eds.) Proceedings of the 5th Workshop on Descriptional Complexity of Formal Systems, DCFS 2003, pp. 284–294 (2003)

    Google Scholar 

  11. Salomaa, A.: Formal Languages. Academic Press, New York (1973)

    MATH  Google Scholar 

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Díaz-Pernil, D., Gallego-Ortiz, P., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A. (2009). Descriptional Complexity of Tissue-Like P Systems with Cell Division. In: Calude, C.S., Costa, J.F., Dershowitz, N., Freire, E., Rozenberg, G. (eds) Unconventional Computation. UC 2009. Lecture Notes in Computer Science, vol 5715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03745-0_21

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  • DOI: https://doi.org/10.1007/978-3-642-03745-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03744-3

  • Online ISBN: 978-3-642-03745-0

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