Abstract
Many formal models have been proposed to recognize or to generate two-dimensional words. In this paper, we focus our analysis on (regular) pure 2D context-free grammars, regional tile grammars and Průša grammars, showing that nevertheless they have been proposed as a generalization of string context free grammars their expressiveness is different. This work refines the relationship among the classes of languages generated by the above grammars and Local languages and states some considerations about closure properties of (regular) pure 2D context-free languages.
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Bersani, M.M., Frigeri, A., Cherubini, A. (2011). On Some Classes of 2D Languages and Their Relations. In: Aggarwal, J.K., Barneva, R.P., Brimkov, V.E., Koroutchev, K.N., Korutcheva, E.R. (eds) Combinatorial Image Analysis. IWCIA 2011. Lecture Notes in Computer Science, vol 6636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21073-0_21
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DOI: https://doi.org/10.1007/978-3-642-21073-0_21
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