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Original Articles

Array automata and operations on array languages

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Pages 3-30 | Published online: 19 Mar 2007
 

Abstract

Array automata acting on scenes (two dimensional tapes) are defined. The set of scenes accepted by array automata are proved to be equivalent to the set of arrays generated by array grammars. Certain operators like substitution, homomorphic replication and insertion are extended to sets of arrays. These operators yield interesting classes of pictures.

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