Abstract
Siromoney et al. introduced Siromoney matrix grammars (1973) which are of sequential-parallel type in the sense that first a horizontal string of nonterminals is derived sequentially by applying the horizontal production rules and then vertical productions are applied in parallel to get the intended two-dimensional picture. In 1999, Radhakrishnan et al. introduced and studied a variant of Siromoney matrix grammars called (X:Y)MG where \(X, Y \in \{Context-Free (CF), Regular(R)\}\). James et al. in 2018 introduced Parallel Contextual Array Insertion Deletion Grammar (PCAIDG) to generate two-dimensional array languages using insertion and deletion operations and parallel contextual mappings. In this paper, we prove that this family of languages generated by PCAIDGs properly includes the family (CF : CF) ML.
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We are grateful to the reviewers whose comments made to refine the paper significantly.
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Jayasankar, S., Thomas, D.G., Immanuel, S.J., Paramasivan, M., Robinson, T., Nagar, A.K. (2020). Parallel Contextual Array Insertion Deletion Grammar and (Context-Free : Context-Free) Matrix Grammar. In: Lukić, T., Barneva, R., Brimkov, V., Čomić, L., Sladoje, N. (eds) Combinatorial Image Analysis. IWCIA 2020. Lecture Notes in Computer Science(), vol 12148. Springer, Cham. https://doi.org/10.1007/978-3-030-51002-2_11
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