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Array-Rewriting P Systems with Basic Puzzle Grammar Rules and Permitting Features

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Membrane Computing (CMC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10105))

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Abstract

Motivated by the problem of tiling the plane, puzzle grammars were introduced as a mechanism for generating languages of picture arrays in the two-dimensional plane. On the other hand BPG array P system with array objects and basic puzzle grammar (BPG) rules was introduced as a variant of array generating P systems that were developed with a view to link the two areas of membrane computing and picture array grammars. Here we incorporate the feature of permitting symbols in the rules of the BPG array P system, thus introducing permitting array P system with BPG rules (pAP(BPG)). We show that the permitting feature gives more generative power to the BPG array P system with one or two membranes. We also show that a pAP(BPG) with only two membranes under t–communication mode, can generate picture arrays of square frames.

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Acknowledgements

The fourth author K.G. Subramanian is grateful to UGC, 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.

Author information

Authors and Affiliations

  1. Department of Computing, School of Engineering, Computing and Built Environment, KDU Penang University College, 10400, George Town, Penang, Malaysia

    Pradeep Isawasan

  2. School of Computer Science, Faculty of Information Science and Technology, Universiti Kebangsaan Malaysia, 43600, Bangi, Malaysia

    Ravie Chandren Muniyandi

  3. School of Computer Sciences, Universiti Sains Malaysia, 11800, Gelugor, Penang, Malaysia

    Ibrahim Venkat

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

    K. G. Subramanian

Authors
  1. Pradeep Isawasan
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  2. Ravie Chandren Muniyandi
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  3. Ibrahim Venkat
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  4. K. G. Subramanian
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Corresponding author

Correspondence to K. G. Subramanian .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca , Milan, Italy

    Alberto Leporati

  2. Leiden University , Leiden, The Netherlands

    Grzegorz Rozenberg

  3. Turku Center for Computer Science , Turku, Finland

    Arto Salomaa

  4. University of Milan-Bicocca , Milan, Italy

    Claudio Zandron

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Isawasan, P., Muniyandi, R.C., Venkat, I., Subramanian, K.G. (2017). Array-Rewriting P Systems with Basic Puzzle Grammar Rules and Permitting Features. In: Leporati, A., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2016. Lecture Notes in Computer Science(), vol 10105. Springer, Cham. https://doi.org/10.1007/978-3-319-54072-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-54072-6_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54071-9

  • Online ISBN: 978-3-319-54072-6

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