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Cell-like P Systems with Channel States and Synchronization Rule

Author

Listed:
  • Suxia Jiang

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

  • Tao Liang

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

  • Bowen Xu

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

  • Zhichao Shen

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

  • Xiaoliang Zhu

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

  • Yanfeng Wang

    (School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China)

Abstract

Cell-like P systems with channel states and symport/antiport rules (CCS P systems) are a type of nondeterministic parallel biological computing model, where there exists a channel between adjacent regions and there is a state on each channel to control the execution of symport/antiport rules. In this work, a synchronization rule is introduced into CCS P systems, a variant of CCS P systems called CCS P systems with synchronization rule (CCSs P systems) is proposed. The universality of CCSs P systems with only uniport (symport or antiport) rules is investigated. By simulating the register machine, we proved that CCSs P systems have the ability to simulate any Turing machine in the following three cases: having two membranes, two channel states and using symport rules of length at most 2; having one membrane, three channel states and using symport rules of length at most 2; and having one membrane, two channel states and using antiport rules of length at most 3.

Suggested Citation

  • Suxia Jiang & Tao Liang & Bowen Xu & Zhichao Shen & Xiaoliang Zhu & Yanfeng Wang, 2022. "Cell-like P Systems with Channel States and Synchronization Rule," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:117-:d:1016264
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    References listed on IDEAS

    as
    1. Suxia Jiang & Jihui Fan & Yijun Liu & Yanfeng Wang & Fei Xu, 2020. "Spiking Neural P Systems with Polarizations and Rules on Synapses," Complexity, Hindawi, vol. 2020, pages 1-12, July.
    2. Linqiang Pan & Bosheng Song & Luis Valencia-Cabrera & Mario J. Pérez-Jiménez, 2018. "The Computational Complexity of Tissue P Systems with Evolutional Symport/Antiport Rules," Complexity, Hindawi, vol. 2018, pages 1-21, April.
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