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Hierarchical P Systems with Randomized Right-Hand Sides of Rules

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Membrane Computing (CMC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10725))

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Abstract

P systems are a model of hierarchically compartmentalized multiset rewriting. We introduce a novel kind of P systems in which rules are dynamically constructed in each step by non-deterministic pairing of left-hand and right-hand sides. We define three variants of right-hand side randomization and compare each of them with the power of conventional P systems. It turns out that all three variants enable non-cooperative P systems to generate exponential (and thus non-semi-linear) number languages. We also give a binary normal form for one of the variants of P systems with randomized rule right-hand sides.

A. Alhazov—The work is supported by National Natural Science Foundation of China (61320106005, 61033003, and 61772214) and the Innovation Scientists and Technicians Troop Construction Projects of Henan Province (154200510012).

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Academiei 5, 2028, Chişinău, Moldova

    Artiom Alhazov

  2. 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

    Artiom Alhazov

  3. Faculty of Informatics, TU Wien, Favoritenstraße 9–11, 1040, Vienna, Austria

    Rudolf Freund

  4. LACL, Université Paris Est – Créteil Val de Marne, 61, av. Général de Gaulle, 94010, Créteil, France

    Sergiu Ivanov

  5. TIMC-IMAG/DyCTiM, Faculty of Medicine of Grenoble, 5 avenue du Grand Sablon, 38700, La Tronche, France

    Sergiu Ivanov

Authors
  1. Artiom Alhazov
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  2. Rudolf Freund
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  3. Sergiu Ivanov
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Corresponding author

Correspondence to Sergiu Ivanov .

Editor information

Editors and Affiliations

  1. University of Bradford, Bradford, United Kingdom

    Marian Gheorghe

  2. Leiden University, Leiden, The Netherlands

    Grzegorz Rozenberg

  3. Turku Centre for Computer Science, Turku, Finland

    Arto Salomaa

  4. University of Milan-Bicocca, Milan, Italy

    Claudio Zandron

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Alhazov, A., Freund, R., Ivanov, S. (2018). Hierarchical P Systems with Randomized Right-Hand Sides of Rules. In: Gheorghe, M., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2017. Lecture Notes in Computer Science(), vol 10725. Springer, Cham. https://doi.org/10.1007/978-3-319-73359-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-73359-3_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73358-6

  • Online ISBN: 978-3-319-73359-3

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