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On String Languages Generated by Sequential Spiking Neural P Systems Based on Maximum Spike Number

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8553))

Abstract

Spiking neural P systems (SN P systems, for short) are a class of distributed parallel computing devices inspired from the way neurons communicate by means of spikes. In this work, we consider SN P systems with the restriction: at each step the neuron with the maximum number of spikes among the neurons that can spike will fire (if there is a tie for the maximum number of spikes stored in the active neurons, only one of the neurons containing the maximum is chosen non-deterministically). We investigate the computational power of such sequential SN P systems that are used as language generators. We prove that recursively enumerable languages can be characterized as projections of inverse-morphic images of languages generated by that sequential SN P systems. The relationships of the languages generated by these sequential SN P systems with finite and regular languages are also investigated.

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References

  1. Chen, H., Freund, R., Ionescu, M., Păun, G., Pérez-Jiménez, M.J.: On string languages generated by spikng neural P systems. Fund. Inform. 75, 141–162 (2007)

    MATH  MathSciNet  Google Scholar 

  2. Chen, H., Ionescu, M., Ishdorj, T.-O., Păun, A., Păun, G., Pérez-Jiménez, M.J.: Spiking neural P systems with extended rules: universality and languages. Nat. Comput. 7(2), 147–166 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ibarra, O.H., Păun, A., Rodríguez-Patón, A.: Sequential SNP systems based on min/max spike number. Theor. Comput. Sci. 410(30-32), 2982–2991 (2009)

    Article  MATH  Google Scholar 

  4. Ionescu, M., Păun, G., Yokomori, T.: Spiking neural P systems. Fund. Inform. 71(2-3), 279–308 (2006)

    MATH  MathSciNet  Google Scholar 

  5. Ishdorj, T.-O., Leporati, A., Pan, L., Zeng, X., Zhang, X.: Deterministic solutions to qsat and q3sat by spiking neural P systems with pre-computed resources. Theor. Comput. Sci. 411(25), 2345–2358 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  6. Minsky, M.: Computation – Finite and Infinite Machines. Prentice Hall, Englewood Cliffs, New Jersey (1967)

    MATH  Google Scholar 

  7. Pan, L., Păun, G., Pérez-Jiménez, M.J.: Spiking neural P systems with neuron division and budding. Sci. China Inform. Sci. 54(8), 1596–1607 (2011)

    Article  MATH  Google Scholar 

  8. Păun, A., Păun, G.: Small universal spiking neural P systems. BioSystems 90(1), 48–60 (2007)

    Article  Google Scholar 

  9. Păun, A., Sidoroff, M.: Sequentiality induced by spike number in SNP systems: Small universal machines. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 333–345. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

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

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  12. Song, T., Pan, L., Păun, G.: Asynchronous spiking neural P systems with local synchronization. Inform. Sciences 219, 197–207 (2013)

    Article  Google Scholar 

  13. Wang, J., Hoogeboom, H.J., Pan, L., Păun, G., Pérez-Jiménez, M.J.: Spiking neural P systems with weights. Neural Comput. 22(10), 2615–2646 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  14. Zhang, X., Zeng, X., Pan, L.: On languages generated by asynchronous spiking neural P systems. Theor. Comput. Sci. 410(26), 2478–2488 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  15. Zhang, X., Zeng, X., Pan, L.: Smaller universal spiking neural P systems. Fund. Inform. 87(1), 117–136 (2008)

    MATH  MathSciNet  Google Scholar 

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Correspondence to Keqin Jiang .

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© 2014 Springer International Publishing Switzerland

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Jiang, K., Zhang, Y., Pan, L. (2014). On String Languages Generated by Sequential Spiking Neural P Systems Based on Maximum Spike Number. In: Ibarra, O., Kari, L., Kopecki, S. (eds) Unconventional Computation and Natural Computation. UCNC 2014. Lecture Notes in Computer Science(), vol 8553. Springer, Cham. https://doi.org/10.1007/978-3-319-08123-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-08123-6_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08122-9

  • Online ISBN: 978-3-319-08123-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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