Abstract

A picture is a set of unit lines from the Cartesian plane considered as a square grid. A word over the alphabet l, r, u, d is a picture description in the sense that it represents a traversal of a picture where the interpretation of the symbols l, r, u, d, is: go one unit line to the left of the current point go one unit line to the right of the current point go one unit line up from the current point, and go one unit line down from the current point. A set of picture descriptions forms a picture description language. This paper investigates the basic properties of pictures and picture description languages from the formal language theory point of view.

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