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A Membrane Computing Model for Generation of Picture Arrays

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Advances in Visual Informatics (IVIC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9429))

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Abstract

In the bio-inspired area of membrane computing, P system is a versatile model providing a rich framework for many computational problems. Array P system and its variant with parallel rewriting facilitate the study of picture languages within this area of membrane computing. Here another variant of array P system, called tabled parallel array P system (TPAP), is introduced, by endowing it with the features of parallel rewriting and tables of array-rewriting rules. The generative power of TPAP as well as the ability of this system in describing picture patterns are investigated.

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References

  1. Ceterchi, R., Mutyam, M., Pǎun, G., Subramanian, K.G.: Array-rewriting P systems. Nat. Comput. 2, 229–249 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  2. Freund, R.: Array Grammars. Technical report 15/00, Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona, p. 164 (2000)

    Google Scholar 

  3. Gheorghe, M., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G.: Research frontiers of membrane computing: open problem and research topics. Int. J. Found. Comput. Sci. 24(05), 547–623 (2013)

    Article  MATH  Google Scholar 

  4. Giammarresi, D., Restivo, A.: Two-dimensional languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, vol. 3, pp. 215–267. Springer, New York (1997)

    Chapter  Google Scholar 

  5. Pan, L., Păun, G.: On parallel array P systems. In: Adamatzky, A. (ed.) Automata, Universality, Computation. Emergence, Complexity and Computation, vol. 12, pp. 171–181. Springer, Switzerland (2015)

    Google Scholar 

  6. Păun, G.: Computing with membranes. J. Comput. Syst. Sci. 61, 108–143 (2000)

    Article  MATH  Google Scholar 

  7. Păun, G., Rozenberg, G., Salomaa, A.: The Oxford Handbook of Membrane Computing. Oxford University Press, Inc., New York (2010)

    Book  MATH  Google Scholar 

  8. Rosenfeld, A., Siromoney, R.: Picture languages - a survey. Lang. Des. 1, 229–245 (1993)

    Google Scholar 

  9. Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages, vol. 1–3. Springer, Berlin (1997)

    MATH  Google Scholar 

  10. Rozenberg, G., Salomaa, A.: The Mathematical Theory of L Systems. Academic Press, New York (1980)

    MATH  Google Scholar 

  11. Siromoney, G., Siromoney, R., Krithivasan, K.: Array grammars and kolam. Comput. Graph. Image Process. 3, 6382 (1974)

    Article  Google Scholar 

  12. Subramanian, K.G., Rangarajan, K., Mukund, M. (eds.): Formal Models, Languages and Applications. Series in Machine Perception and Artificial Intelligence, vol. 66. World Scientific Publishing, Singapore (2006)

    MATH  Google Scholar 

  13. Subramanian, K.G., Saravanan, R., Robinson, T.: P system for array generation and application to kolam patterns. Forma 22, 47–54 (2007)

    MathSciNet  Google Scholar 

  14. Subramanian, K.G., Isawasan, P., Venkat, I., Pan, L.: Parallel array-rewriting P systems. Rom. J. Inf. Sci. Technol. 17(1), 103–116 (2014)

    Google Scholar 

  15. Wang, P.S.P. (ed.): Array Grammars, Patterns and Recognizers. Series in Computer Science, vol. 18. World Scientific, Singapore (1989)

    Google Scholar 

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Acknowledgements

The first author would like to thank Ministry of Higher Education for the award of MyPhD under which this research was jointly carried out by him. The second author gratefully acknowledges support for this research from an RUI grant 1001/PKOMP/811290 awarded by Universiti Sains Malaysia. The third author gratefully acknowledges support for this research from Science Fund of Ministry of Science, Technology and Innovation (MOSTI), Malaysia with grant code: 01-01-02-SF1104.

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Correspondence to K. G. Subramanian .

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Isawasan, P., Venkat, I., Muniyandi, R.C., Subramanian, K.G. (2015). A Membrane Computing Model for Generation of Picture Arrays. In: Badioze Zaman, H., et al. Advances in Visual Informatics. IVIC 2015. Lecture Notes in Computer Science(), vol 9429. Springer, Cham. https://doi.org/10.1007/978-3-319-25939-0_14

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  • DOI: https://doi.org/10.1007/978-3-319-25939-0_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25938-3

  • Online ISBN: 978-3-319-25939-0

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