Solving the SAT Problem by Cell-Like P Systems with Channel States and Symport Rules

Cell-like P systems with channel states, which are a variant of tissue P systems in membrane computing, can be viewed as highly parallel computing devices based on the nested structure of cells, where communication rules are classified as symport rules and antiport rules. In this work, we remove the...

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Published inDiscrete dynamics in nature and society Vol. 2023; pp. 1 - 9
Main Authors Wan, Xiaoming, Liu, Chuchuan, Luo, Yueguo
Format Journal Article
LanguageEnglish
Published New York Hindawi 10.06.2023
John Wiley & Sons, Inc
Wiley
Subjects
Online AccessGet full text
ISSN1026-0226
1607-887X
1607-887X
DOI10.1155/2023/4993855

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Abstract Cell-like P systems with channel states, which are a variant of tissue P systems in membrane computing, can be viewed as highly parallel computing devices based on the nested structure of cells, where communication rules are classified as symport rules and antiport rules. In this work, we remove the antiport rules and construct a novel variant, namely, cell-like P systems with channel states and symport rules, where one rule is only allowed to be nondeterministically applied once per channel. To explore the computational efficiency of the variant, we solve the SAT problem and obtain a uniform solution in polynomial time with the maximal length of rules 1. The results of our work are reflected in the following two aspects: first, communication rules are restricted to only one type, namely, symport rules; second, the maximal length of rules is decreased from 2 to 1. Our work indicates that the constructed variant with fewer rule types can still solve the SAT problem and obtain better results in terms of computational complexity. Hence, in terms of computational efficiency, our work is a notable improvement.
AbstractList Cell-like P systems with channel states, which are a variant of tissue P systems in membrane computing, can be viewed as highly parallel computing devices based on the nested structure of cells, where communication rules are classified as symport rules and antiport rules. In this work, we remove the antiport rules and construct a novel variant, namely, cell-like P systems with channel states and symport rules, where one rule is only allowed to be nondeterministically applied once per channel. To explore the computational efficiency of the variant, we solve the SAT problem and obtain a uniform solution in polynomial time with the maximal length of rules 1. The results of our work are reflected in the following two aspects: first, communication rules are restricted to only one type, namely, symport rules; second, the maximal length of rules is decreased from 2 to 1. Our work indicates that the constructed variant with fewer rule types can still solve the SAT problem and obtain better results in terms of computational complexity. Hence, in terms of computational efficiency, our work is a notable improvement.
Cell-like P systems with channel states, which are a variant of tissue P systems in membrane computing, can be viewed as highly parallel computing devices based on the nested structure of cells, where communication rules are classified as symport rules and antiport rules. In this work, we remove the antiport rules and construct a novel variant, namely, cell-like P systems with channel states and symport rules, where one rule is only allowed to be nondeterministically applied once per channel. To explore the computational efficiency of the variant, we solve the S A T problem and obtain a uniform solution in polynomial time with the maximal length of rules 1. The results of our work are reflected in the following two aspects: first, communication rules are restricted to only one type, namely, symport rules; second, the maximal length of rules is decreased from 2 to 1. Our work indicates that the constructed variant with fewer rule types can still solve the S A T problem and obtain better results in terms of computational complexity. Hence, in terms of computational efficiency, our work is a notable improvement.
Audience Academic
Author Wan, Xiaoming
Liu, Chuchuan
Luo, Yueguo
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Copyright © 2023 Xiaoming Wan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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SubjectTerms Algorithms
Computational efficiency
Computing time
Efficiency
Laws, regulations and rules
Membranes
Polynomials
Telecommunication
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Title Solving the SAT Problem by Cell-Like P Systems with Channel States and Symport Rules
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