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基于对称三进制系统的一种算数运算 P 系统。

An arithmetic operation P system based on symmetric ternary system.

机构信息

School of Computer Science and Engineering, Chongqing University of Technology, Chongqing, Chongqing, China.

School of Artificial Intelligence and Big Data, Chongqing Metropolitan College of Science and Technology, Chongqing, Chongqing, China.

出版信息

PLoS One. 2024 Nov 1;19(11):e0312778. doi: 10.1371/journal.pone.0312778. eCollection 2024.

DOI:10.1371/journal.pone.0312778
PMID:39485751
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11530024/
Abstract

Nowadays, electronic computers use a "binary" numbering system, as opposed to "ternary" logic, which is closer to the way the human brain thinks. In this paper, the symmetric ternary system is applied to membrane computing for the first time. By combining the symmetric ternary system with membrane computing, this paper provides a more suitable arithmetic operation method for bio-computers, which breaks through the limitations of the traditional binary system in complex operations, and has a great potential for application in artificial intelligence and automatic learning in particular. The P System we designed include: Π+ for symmetric ternary addition, Π* for symmetric ternary multiplication, and Π/ for symmetric ternary division. The operation process of each P System was explained through examples, and their feasibility and effectiveness were verified through simulation software, UPSimulator. The system we designed can be further applied to symmetric ternary applications.

摘要

如今，电子计算机使用“二进制”编号系统，而不是更接近人脑思维方式的“三进制”逻辑。本文首次将对称三进制系统应用于膜计算。通过将对称三进制系统与膜计算相结合，本文为生物计算机提供了一种更合适的算术运算方法，突破了传统二进制系统在复杂运算中的局限性，特别是在人工智能和自动学习方面具有很大的应用潜力。我们设计的 P 系统包括：用于对称三进制加法的 Π+，用于对称三进制乘法的 Π*，以及用于对称三进制除法的 Π/。通过示例解释了每个 P 系统的操作过程，并通过模拟软件 UPSimulator 验证了它们的可行性和有效性。我们设计的系统可以进一步应用于对称三进制应用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/4a795483e8d7/pone.0312778.g013.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/7a3f8cc2dddb/pone.0312778.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/782f894342b7/pone.0312778.g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/fd21d2be5486/pone.0312778.g009.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/4a795483e8d7/pone.0312778.g013.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/807e638cd8ce/pone.0312778.g004.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/7a3f8cc2dddb/pone.0312778.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/782f894342b7/pone.0312778.g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/fd21d2be5486/pone.0312778.g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/c5b763c1520d/pone.0312778.g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/f37dcd120278/pone.0312778.g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/19aa/11530024/dadd3ff9e215/pone.0312778.g012.jpg
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本文引用的文献

1
Experimental High-Dimensional Quantum Teleportation.实验性高维量子隐形传态
Phys Rev Lett. 2020 Dec 4;125(23):230501. doi: 10.1103/PhysRevLett.125.230501.
2
Membrane computing: brief introduction, recent results and applications.膜计算：简要介绍、近期成果与应用
Biosystems. 2006 Jul;85(1):11-22. doi: 10.1016/j.biosystems.2006.02.001. Epub 2006 May 2.