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Parallel contextual array insertion–deletion P systems and array rewriting P systems with pure 2D context-free rules

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Abstract

The problem of handling array languages using P systems was initially considered by Ceterchi et al. (In Nat Comput 2(3): 229–249, 2003), thereby linking the two areas of membrane computing and picture grammars. In recent years, the problem of the generation of 2D picture languages using P systems has received more attention James et al. (2017) introduced Parallel contextual array insertion–deletion P systems (PCAIDPS) exploiting insertion and deletion operations together with contextual operations. Subramanian et al. (In Math Comput Modell 152(2): 1901–1909, 2010) introduced the array-rewriting P system with pure 2D context-free rules AP(P2DCFG). In this paper, we compare the generative power of AP(P2DCFG) with that of PCAIDPS and prove that PCAIDPS has more generative power than that of AP(P2DCFG).

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Author notes

  1. G. Arul Freeda Vinodhini, S. Jayasankar and D. Gnanaraj Thomas are contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Saveetha School of Engineering, SIMATS and Saveetha Engineering College, Chennai, 602105, India

    M. Gayathri Lakshmi

  2. Department of Science and Humanities, Saveetha School of Engineering, SIMATS, Chennai, 602105, India

    G. Arul Freeda Vinodhini

  3. Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, 600004, India

    S. Jayasankar

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

    D. Gnanaraj Thomas

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  1. M. Gayathri Lakshmi
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  2. G. Arul Freeda Vinodhini
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  3. S. Jayasankar
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  4. D. Gnanaraj Thomas
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Correspondence to M. Gayathri Lakshmi.

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Lakshmi, M.G., Vinodhini, G.A.F., Jayasankar, S. et al. Parallel contextual array insertion–deletion P systems and array rewriting P systems with pure 2D context-free rules. J Membr Comput 5, 144–160 (2023). https://doi.org/10.1007/s41965-023-00124-x

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