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In this paper we introduce hexagonal Wang tiles, local hexagonal picture languages, and recognizable hexagonal picture languages. We use hexagonal Wang tiles to introduce hexagonal Wang systems(HWS), a formalism to recognize hexagonal picture languages. It is noticed that the family of hexagonal picture languages defined by hexagonal Wang systems coincides… (More)
In this paper we associate permitting symbols with rules of Grammars in the components of cooperating distributed context-free hexagonal array grammar systems as a control mechanism and investigating the generative power of the resulting systems in the terminal mode. This feature of associating permitting symbols with rules when extended to patterns in the… (More)
Cyclic weak ϕ-contraction mapping is introduced in Menger space and fixed point theorem for such mappings are studied in Menger space.