Translating database mathematical schemes into relational database software applications with MatBase

Abstract: We present a pseudocode algorithm for translating our (Elementary) Mathematical Data Model schemes into relational ones and associated sets of non-relational constraints, used by MatBase, our intelligent database management system prototype. We prove that this algorithm is very fast, solid, complete, and optimal. We apply it to a mathematical scheme modeling the genealogical trees subuniverse. We also provide examples of SQL and VBA code for enforcing some of its non-relational constraints, as well as guidelines to develop code for enforcing such constraints.