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Parallel Contextual Array Insertion Deletion P Systems and Tabled Matrix Grammars

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Membrane Computing (CMC 2020)

Abstract

Siromoney et al. introduced a parallel/sequential generative model called Tabled Matrix Grammars (TMGs) by generalising phrase structure matrix grammars generating abstract families of languages (AFLs). James et al. introduced Parallel Contextual Array Insertion Deletion P Systems (PCAIDPSs) to generate two-dimensional array languages using insertion and deletion operations through parallel contextual mappings. In this paper, we compare the generative powers of PCAIDPSs and TMGs. We prove that the family of languages generated by PCAIDPS with two membranes properly includes the family of languages generated by Tabled Context-sensitive Matrix Grammars (TCSMGs).

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Immanuel, S.J., Jayasankar, S., Thomas, D.G., Paramasivan, M. (2021). Parallel Contextual Array Insertion Deletion P Systems and Tabled Matrix Grammars. In: Freund, R., Ishdorj, TO., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2020. Lecture Notes in Computer Science(), vol 12687. Springer, Cham. https://doi.org/10.1007/978-3-030-77102-7_4

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  • DOI: https://doi.org/10.1007/978-3-030-77102-7_4

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