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Recognizable picture languages and domino tiling

✍ Scribed by Michel Latteux; David Simplot


Book ID
104326242
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
466 KB
Volume
178
Category
Article
ISSN
0304-3975

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✦ Synopsis


In , Giammarresi and Restivo define the notion of local picture languages by giving a set of authorized 2 x 2 tiles over C U {#} where # is a boundary symbol which surrounds the pictures. Then they define the class of recognizable picture languages as the set of languages which can be obtained by projection of a local one. This class is of interest since it admits several quite different characterizations . Here, we define the hv-local picture languages where 2 x 2 tiles are replaced by horizontal and vertical dominoes. So the horizontal and the vertical scanning can be done separately. However, we prove that every recognizable picture language can be obtained as a projection of a hv-local language.


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