Cell-like P Systems with Channel States and Synchronization Rule

Suxia Jiang (), Tao Liang, Bowen Xu, Zhichao Shen, Xiaoliang Zhu and Yanfeng Wang ()
Additional contact information
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

Mathematics, 2022, vol. 11, issue 1, 1-14

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.

Keywords: bio-inspired computing; membrane computing; cell-like P systems; channel states; synchronization rule; universality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/1/117/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/1/117/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2022:i:1:p:117-:d:1016264

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().