Abstract
We propose a new formalism for generating picture languages based on an assembly mechanism of tiles that uses rules having a context and a replacement site. More precisely, a picture language will be generated from a finite set of initial pictures by iteratively applying rewriting rules from a given finite set of rules, called a tiling rule system (TRuS system). We prove that the TRuS systems have a greater generative capacity than the tiling systems of Giammarresi and Restivo, even in the case of one-letter alphabet picture languages. This is due mainly to the use of the notion of replacement.
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Bonizzoni, P., Ferretti, C., Roslin Sagaya Mary, A., Mauri, G. (2009). Picture Languages Generated by Assembling Tiles. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2009. Lecture Notes in Computer Science, vol 5457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00982-2_19
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DOI: https://doi.org/10.1007/978-3-642-00982-2_19
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