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Contextual array grammars and array P systems

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Abstract

Contextual array grammars, with selectors not having empty cells, are considered. A P system model, called contextual array P system, that makes use of array objects and contextual array rules, is introduced and its generative power for the description of picture arrays is examined. A main result of the paper is that there is a proper infinite hierarchy with respect to the classes of languages described by contextual array P systems. Such a hierarchy holds as well in the case when the selector is also endowed with the #−sensing ability.

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Authors and Affiliations

  1. FB 4 – Abteilung Informatikwissenschaften, Universität Trier, D-54296, Trier, Germany

    Henning Fernau & Markus L. Schmid

  2. Technische Universität Wien, Institut für Computersprachen, A-1040, Wien, Austria

    Rudolf Freund

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

    K. G. Subramanian

  4. Depto. de Control Automático, Centro de Investigación y de Estudios Avanzados (CINVESTAV-IPN), Av. I.P.N. 2508, Col. San Pedro Zacatenco, Mexico, 07000, D.F., Mexico

    Petra Wiederhold

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  1. Henning Fernau
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  2. Rudolf Freund
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  3. Markus L. Schmid
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  4. K. G. Subramanian
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  5. Petra Wiederhold
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Correspondence to K. G. Subramanian.

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Fernau, H., Freund, R., Schmid, M.L. et al. Contextual array grammars and array P systems. Ann Math Artif Intell 75, 5–26 (2015). https://doi.org/10.1007/s10472-013-9388-0

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