Mathematics of Generic Specifications for Model Management, I

This article (further referred to as Math-I), and the next one (further referred to as Math-II, see p. 359), form a mathematical companion to the article in this encyclopedia on Generic Model Management (further referred to as GenMMt, see p.258 ). Articles Math-I and II present the basics of the arrow diagram machinery that provides model management with truly generic specifications. Particularly, it allows us to build a generic pattern for heterogeneous data and schema transformation, which is presented in Math-II for the first time in the literature.