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Tissue P Systems with Cell Separation: Upper Bound by PSPACE

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7505))

Abstract

Tissue P systems are a class of bio-inspired computing models motivated by biochemical interactions between cells in a tissue-like arrangement. This organization is formally described by an interaction graph with membranes at its vertices. Membranes communicate by exchanging objects from a finite set. This basic model was enhanced with the operation of cell separation, resulting in tissue P systems with cell separation. Uniform families of tissue P systems were recently studied. Their computational power was shown to range between P and NP ∪ co − NP, characterizing borderlines between tractability and intractability by length of rules and some other features. Here we show that the computational power of these uniform families in polynomial time is limited from above by the class PSPACE. In this way we relate the information-processing potential of bio-inspired tissue-like systems to classical parallel computing models as PRAM or alternating Turing machine.

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References

  1. Alhazov, A., Martín-Vide, C., Pan, L.: Solving a PSPACE-complete problem by P systems with restricted active membranes. Fundamenta Informaticae 58(2), 67–77 (2003)

    MathSciNet  Google Scholar 

  2. Alhazov, A., Freund, R., Oswald, M.: Tissue P Systems with Antiport Rules and Small Numbers of Symbols and Cells. In: De Felice, C., Restivo, A. (eds.) DLT 2005. LNCS, vol. 3572, pp. 100–111. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  3. Bernardini, F., Gheorghe, M.: Cell communication in tissue P systems and cell division in population P systems. Soft Computing 9(9), 640–649 (2005)

    Article  MATH  Google Scholar 

  4. Freund, R., Păun, G., Pérez-Jiménez, M.: Tissue P systems with channel states. Theoretical Computer Science 330, 101–116 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gutiérrez–Escudero, R., Pérez–Jiménez, M.J., Rius–Font, M.: Characterizing Tractability by Tissue-Like P Systems. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 289–300. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  6. Krishna, S., Lakshmanan, K., Rama, R.: Tissue P Systems with Contextual and Rewriting Rules. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 339–351. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Lakshmanan, K., Rama, R.: The computational efficiency of insertion deletion tissue P systems. In: Subramanian, K., Rangarajan, K., Mukund, M. (eds.) Formal Models, Languages and Applications, pp. 235–245. World Scientific (2006)

    Google Scholar 

  8. Martín-Vide, C., Pazos, J., Păun, G., Rodríguez-Patón, A.: A New Class of Symbolic Abstract Neural Nets: Tissue P Systems. In: Ibarra, O.H., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2387, pp. 290–299. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  9. Martín Vide, C., Pazos, J., Păun, G., Rodríguez Patón, A.: Tissue P systems. Theoretical Computer Science 296, 295–326 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Pan, L., Ishdorj, T.O.: P systems with active membranes and separation rules. Journal of Universal Computer Science 10(5), 630–649 (2004)

    MathSciNet  Google Scholar 

  11. Pan, L., Pérez-Jiménez, M.: Computational complexity of tissue–like P systems. Journal of Complexity 26(3), 296–315 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  12. Păun, G., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford University Press, Oxford (2010)

    MATH  Google Scholar 

  13. Pérez-Jiménez, M., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. Journal of Automata, Languages and Combinatorics 11(4), 423–434 (2006)

    MathSciNet  MATH  Google Scholar 

  14. Păun, A., Păun, G.: The power of communication: P systems with symport/antiport. New Generation Comput. 20(3), 295–306 (2002)

    Article  MATH  Google Scholar 

  15. Păun, G., Pérez-Jiménez, M., Riscos-Núñez, A.: Tissue P systems with cell division. Int. J. of Computers, Communications and Control 3(3), 295–303 (2008)

    Google Scholar 

  16. Sosík, P.: Limits of the power of tissue P systems with cell division. In: Proceedings of the Thirteenth International Conference on Membrane Computing (to appear, 2012)

    Google Scholar 

  17. Sosík, P., Rodríguez-Patón, A.: Membrane computing and complexity theory: A characterization of PSPACE. J. Comput. System Sci. 73(1), 137–152 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  18. The P Systems Web Page, http://ppage.psystems.eu/ (cit. May 29, 2012)

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Sosík, P., Cienciala, L. (2012). Tissue P Systems with Cell Separation: Upper Bound by PSPACE. In: Dediu, AH., Martín-Vide, C., Truthe, B. (eds) Theory and Practice of Natural Computing. TPNC 2012. Lecture Notes in Computer Science, vol 7505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33860-1_17

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  • DOI: https://doi.org/10.1007/978-3-642-33860-1_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33859-5

  • Online ISBN: 978-3-642-33860-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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