A Note on the Generative Power of Axon P Systems

Authors

  • Xingyi Zhang Huazhong University of Science and Technology, Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Wuhan 430074, Hubei, People’s Republic of China
  • Jun Wang Huazhong University of Science and Technology, Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Wuhan 430074, Hubei, People’s Republic of China
  • Linqiang Pan Huazhong University of Science and Technology, Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Wuhan 430074, Hubei, People’s Republic of China

Keywords:

Membrane computing, SN P systems, Axon P systems

Abstract

Axon P systems are a class of spiking neural P systems. In this paper, the axon P systems are used as number generators and language generators. As a language generator, the relationships of the families of languages generated by axon P systems with finite and context-free languages are considered. As a number generator, a characterization of the family of finite sets can be obtained by axon P systems with only one node. The relationships of sets of numbers generated by axon P systems with semilinear sets of numbers are also investigated. This paper partially answers some open problems formulated by H. Chen, T.-O. Ishdorj and Gh. Păun.

References

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The P System Web Page: http://ppage.psystems.eu

X. Y. Zhang, X. X. Zeng and L. Q. Pan, On String Languages Generated by Spiking Neural P Systems with Exhaustive Use of Rules, Natural Computing, to appear. http://dx.doi.org/10.1007/s11047-008-9079-7

Published

2009-03-01

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