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Parallel contextual array P systems

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Abstract

Contextual array P systems generate two-dimensional picture arrays by sequential application of contextual array rules on picture arrays. Here we consider a parallel mode of application of the contextual array rules in the regions of such an array P system. We call the resulting array P system as parallel contextual array P system (PCAP) and we study the generative power of these systems. A main advantage is that the number of membranes needed in the constructions of the PCAP for picture array generation is reduced in comparison with the sequential counterpart.

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Acknowledgements

The work of Linqiang Pan and Bosheng Song was supported by National Natural Science Foundation of China (61320106005, 61602192 and 61772214), the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (154200510012) and China Postdoctoral Science Foundation (2016M600592, 2017T100554). The author K.G. Subramanian is grateful to University Grants Commission, India, for the award of Emeritus Fellowship (No.F.6-6/2016-17/EMERITUS-2015-17-GEN-5933 / (SA-II)) to him to execute his work in the Department of Mathematics, Madras Christian College. The work of Gexiang Zhang was supported by National Natural Science Foundation of China (61672437 and 61702428) and by Sichuan Science and Technology Program (2018GZ0185, 2018GZ0085 and 2017GZ0159).

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Authors and Affiliations

  1. Key Laboratory of Image Information Processing and Intelligent Control of Education Ministry of China, School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, China

    Somnath Bera, Linqiang Pan & Bosheng Song

  2. School of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450002, Henan, China

    Linqiang Pan

  3. Department of Mathematics, Madras Christian College, Chennai, 600059, India

    K. G. Subramanian

  4. School of Electrical and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Gexiang Zhang

  5. Robotics Research Center, Xihua University, Chengdu, 610039, China

    Gexiang Zhang

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  1. Somnath Bera
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  2. Linqiang Pan
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  4. K. G. Subramanian
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  5. Gexiang Zhang
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Correspondence to Gexiang Zhang.

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Bera, S., Pan, L., Song, B. et al. Parallel contextual array P systems. Int J Adv Eng Sci Appl Math 10, 203–212 (2018). https://doi.org/10.1007/s12572-018-0226-9

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