Smaller Universal Spiking Neural P Systems

  • Authors:
  • Xingyi Zhang;Xiangxiang Zeng;Linqiang Pan

  • Affiliations:
  • Key Lab. of Image Processing and Intelligent Control, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, Hubei, PRC. xyzhanghust@gmail.com, zxxhust@g ...;Key Lab. of Image Processing and Intelligent Control, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, Hubei, PRC. xyzhanghust@gmail.com, zxxhust@g ...;(Correspd.) Key Lab. of Image Proc. and Intelligent Ctrl., Dept. of Control Sci. and Eng., Huazhong Univ. of Sci. and Technol., Wuhan 430074, Hubei, PRC. xyzhanghust@gmail.com, zxxhust@gmail.com, ...

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2008

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Abstract

The problem of finding small universal spiking neural P systemswas recently investigated by Andrei Păun and GheorghePăun, for spiking neural P systems used as devices computingfunctions and as devices generating sets of numbers. For the firstcase, a universal spiking neural P system was produced by using 84neurons for standard rules and using 49 neurons for extended rules.For spiking neural P systems used as generators of sets of numbers,a universal system with standard rules having 76 neurons, and onewith extended rules having 50 neurons were obtained. In this paper,we continue the study of small universal spiking neural P systemsand we improve in the number of neurons as follows. The smalluniversal spiking neural P systems use 67 neurons for standardrules and 41 neurons for extended rules in the case of computingfunctions, and 63 neurons for standard rules and 41 neurons forextended rules in the case of generating sets of numbers.