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Natural Computing

, Volume 7, Issue 2, pp 147–166 | Cite as

Spiking neural P systems with extended rules: universality and languages

  • Haiming Chen
  • Mihai Ionescu
  • Tseren-Onolt Ishdorj
  • Andrei Păun
  • Gheorghe PăunEmail author
  • Mario J. Pérez-Jiménez
Article

Abstract

We consider spiking neural P systems with rules allowed to introduce zero, one, or more spikes at the same time. The motivation comes both from constructing small universal systems and from generating strings; previous results from these areas are briefly recalled. Then, the computing power of the obtained systems is investigated, when considering them as number generating and as language generating devices. In the first case, a simpler proof of universality is obtained, while in the latter case we find characterizations of finite and recursively enumerable languages (without using any squeezing mechanism, as it was necessary in the case of standard rules). The relationships with regular languages are also investigated.

Keywords

Membrane computing Spiking neural P systems Turing computability Universality Chomsky hierarchy 

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Notes

Acknowledgements

The authors gratefully acknowledge the following (partial) support of their research. H. Chen: Grants numbers 60573013 and 60421001 of the National Natural Science Foundation of China. M. Ionescu: Programa Nacional para la Formación del Profesorado Universitario from the Spanish Ministry of Education. A. Păun: LA BoR RSC grant LEQSF (2004-07)-RD-A-23, and NSF Grants IMR-0414903 and CCF-0523572. Gh. Păun and M.J. Pérez-Jiménez: Project TIN2005-09345-C03-01 of Ministerio de Educación y Ciencia of Spain, cofinanced by FEDER funds, and Project of Excellence TIC 581 of Junta de Andalucia.

References

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • Haiming Chen
    • 1
  • Mihai Ionescu
    • 2
  • Tseren-Onolt Ishdorj
    • 3
    • 4
  • Andrei Păun
    • 5
    • 6
  • Gheorghe Păun
    • 3
    • 7
    Email author
  • Mario J. Pérez-Jiménez
    • 3
  1. 1.Computer Science LaboratoryInstitute of Software, Chinese Academy of SciencesBeijingChina
  2. 2.Universitat Rovira i VirgiliTarragonaSpain
  3. 3.Department of Computer Science and AIUniversity of SevillaSevillaSpain
  4. 4.Computational Biomodelling LaboratoryTUCS, Abo Akademi UniversityTurkuFinland
  5. 5.Department of Computer ScienceLouisiana Tech UniversityRustonUSA
  6. 6.Faculdad de InformatícaUniversidad Politécnica de Madrid – UPMMadridSpain
  7. 7.Institute of Mathematics of the Romanian AcademyBucharestRomania

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