Splicing systems were introduced by Tom Head [3] on biological considerations to model certain recombinant behaviour of DNA molecules. An effective extension of this operation to images was introduced by Helen Chandra et al. [5] and H array splicing systems were considered. A new method of applying the splicing operation on images of hexagonal arrays was introduced by Thomas et al. [12] and generated a new class of hexagonal array languages HASSL. On the other hand, P systems, introduced by Paun [6] generating rectangular arrays and hexagonal arrays have been studied in the literature, bringing together the two areas of theoretical computer science namely membrane computing and picture languages. P system with array objects and parallel splicing operation on arrays is introduced as a simple and effective extension of P system with operation of splicing on strings and this new class of array languages is compared with the existing families of array languages. Also we propose another P system with hexagonal array objects and parallel splicing operation on hexagonal arrays is introduced and this new class of hexagonal array languages is compared with the existing families of hexagonal array languages.
A computability model based on DNA sequences called sticker systems was introduced by Kari et al. (1998). Sticker systems are language generating devices based on the sticker operation. In this work, a theoretical study about a new class of P system based on the sticker operation has been proposed. In this system, objects are double stranded sequences with sticky ends and evolution rules are sticking rules based on sticker operation. The authors compare the language generated by the proposed system with regular languages. The authors suggest another P system based on the bidirectional sticker system.
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