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Computational power of sequential spiking neural P systems with multiple channels

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Abstract

Spiking neural P systems with multiple channels (SNP-MC systems, for short) are a kind of distributed parallel computing devices, inspired by the way that neurons communicate by means of spikes as well as one or more synaptic channels. SNP-MC systems working in synchronous mode have been investigated. This paper discusses SNP-MC systems working in sequential mode, i.e., sequential SNP-MC systems (SSNP-MC systems, for short). The combination of two sequential sub-modes and two strategies of rule application is considered, that is, four sequentiality strategies. It is proven that SSNP-MC systems working in four sequentiality strategies are Turing universal number generating and accepting devices, respectively.

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Acknowledgements

The authors thank the anonymous reviewers for providing very insightful and constructive suggestions, which have greatly help improve the presentation of this paper.

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Authors and Affiliations

  1. School of Computer and Software Engineering, Xihua University, Chengdu, 610039, Sichuan, China

    Zeqiong Lv, Qian Yang & Hong Peng

  2. School of Electrical Engineering and Electronic Information, Xihua University, Chengdu, 610039, China

    Xiaoxiao Song & Jun Wang

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  1. Zeqiong Lv
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  2. Qian Yang
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Correspondence to Hong Peng.

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This work was partially supported by the National Natural Science Foundation of China (No. 62076206 and No. 62176216), China.

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Lv, Z., Yang, Q., Peng, H. et al. Computational power of sequential spiking neural P systems with multiple channels. J Membr Comput 3, 270–283 (2021). https://doi.org/10.1007/s41965-021-00089-9

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