Exploiting spatial relations for grammar-based specification of multidimensional languages

As opposed to textual programming languages, multidimensional languages compiler construction paradigms lack standardization. To this aim, in this paper we present the spatial grammar (SG) formalism, a grammar model for multidimensional languages which has string-like productions containing more general spatial relations other than string concatenation, and we provide mapping rules to translate an SG specification into a translation schema. In this way, the SG formalism inherits and extends to the multidimensional context concepts and techniques of standard compiler generation tools like YACC.