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A Case Study in (Mem)Brane Computation: Generating Squares of Natural Numbers

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Membrane Computing (WMC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4361))

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Abstract

The aim of this paper is to start an investigation and a comparison of the expressiveness of the two most relevant formalisms inspired by membranes interactions, namely, P systems and Brane Calculi. We compare the two formalisms with respect to their ability to act as generator devices. In particular, we show different ways of generating the set \({\cal L}=\{n^2\,|\,n \ge 1\}\) in P systems and in Brane Calculi.

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References

  1. Adleman, L.M.: Molecular computations of solutions to combinatorial problems. Science 226, 1021–1024 (1994)

    Article  Google Scholar 

  2. Besozzi, D., Busi, N., Franco, G., Freund, R., Păun, G.: Two universality results for (mem)brane systems. In: Gutiérrez Naranjo, M.A., Păun, G., Riscos-Núñez, A., Romero-Campero, F.J. (eds.) Proceedings of the Fourth Brainstorming Week on Membrane Computing, Fénix Editora, vol. I, pp. 49–62 (2006)

    Google Scholar 

  3. Busi, N., Gorrieri, R.: On the computation power of brane calculi. In: Third Workshop on Computational Methods in Systems Biology, Edinburgh (2005)

    Google Scholar 

  4. Cardelli, L.: Brane calculi. In: Danos, V., Schachter, V. (eds.) CMSB 2004. LNCS (LNBI), vol. 3082, pp. 257–278. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Cardelli, L., Gordon, A.D.: Mobile ambients. Theoretical Computer Science 240(1), 177–213 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  6. Cardelli, L., Păun, G.: An universality result for a (mem)brane calculus based on mate/drip operations. Intern. J. Found. Computer Sci. 17(1), 49–68 (2006)

    Article  MATH  Google Scholar 

  7. Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  8. McCulloch, W.S., Pitts, W.: A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics 5, 115–133 (1943)

    Article  MATH  MathSciNet  Google Scholar 

  9. Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  10. Păun, G., Pérez-Jiménez, M.J.: Recent computing models inspired from biology: DNA and membrane computing. Theoria 18, 72–84 (2003)

    Google Scholar 

  11. Păun, G.: Membrane Computing – An Introduction. Springer, Berlin (2002)

    MATH  Google Scholar 

  12. Regev, A., Panina, E.M., Silverman, W., Cardelli, L., Shapiro, E.: BioAmbients: An abstraction for biological compartments. Theoretical Computer Science 325(1), 141–167 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  13. Riscos-Núñez, A.: Cellular Programming: Efficient Resolution of Numerical NP-Complete Problems. Ph.D. Thesis. University of Seville (2004)

    Google Scholar 

  14. P systems web page: http://psystems.disco.unimib.it/

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© 2006 Springer-Verlag Berlin Heidelberg

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Busi, N., Gutiérrez-Naranjo, M.A. (2006). A Case Study in (Mem)Brane Computation: Generating Squares of Natural Numbers. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_15

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  • DOI: https://doi.org/10.1007/11963516_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69088-7

  • Online ISBN: 978-3-540-69090-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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