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Labelled graph rules in P systems

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Abstract

P systems with graph productions were introduced by Freund in 2004. It was shown that such a variant of P system can generate any recursively enumerable language of weakly connected graphs. In this paper, we consider such P systems where the input is any connected graph and each graph production is labelled over an alphabet. We name the system as Process Guided P System where the computation is guided by a string over the set of labels. The set of all strings over the label alphabet which results in the halting computation of the system forms a guiding language of the system. We compare such guiding languages with Chomsky hierarchy. Two direct applications of this variant are also given.

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Acknowledgements

This work was funded by the Project No: SB/S4/MS-865/14, Department of Science and Technology, Government of India.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Saveetha University, Chennai, 602105, India

    Williams Sureshkumar

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India

    Kalpana Mahalingam & Raghavan Rama

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  1. Williams Sureshkumar
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  2. Kalpana Mahalingam
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  3. Raghavan Rama
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Correspondence to Kalpana Mahalingam.

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Sureshkumar, W., Mahalingam, K. & Rama, R. Labelled graph rules in P systems. Iran J Comput Sci 1, 133–145 (2018). https://doi.org/10.1007/s42044-018-0010-9

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