Abstract A Parsing Technique for Tile Rewriting Picture Grammars

Abstract

Recently, a novel model, called Tile Rewriting Grammar (TRG), has been introduced to apply the generative grammar approach to picture languages, or 2D languages. In many respects, the TRGs can be considered the equivalent of context-free (CF) grammars for 2D languages. However, the possibility to investigate applications was precluded so far by the lack of a good parsing algorithm. We propose a parsing algorithm for TRGs, which can be described as an extension to 2D of Cocke, Kasami and Younger’s classical parsing technique for 1D context-free grammars.