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picture codes

RAIRO - Theoretical Informatics and Applications (1)

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Picture codes
Symeon Bozapalidis, Archontia Grammatikopoulou
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 40 / Issue 4 / October 2006

Published online by Cambridge University Press:

08 November 2006, pp. 537-550

Print publication:

October 2006
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We introduce doubly-ranked (DR) monoids in order to study picturecodes. We show that a DR-monoid is free iff it is pictoriallystable. This allows us to associate with a set C of pictures apicture code B(C) which is the basis of the least DR-monoidincluding C.A weak version of the defect theorem for pictures is established.A characterization of picture codes through picture series isalso given.