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.

翻译：本文提出一种伪代码算法，用于将我们提出的（基本）数学数据模型模式转化为关系型数据库模式及相应的非关系型约束集合，该算法应用于我们研发的智能数据库管理系统原型MatBase。我们证明该算法具有高效性、稳健性、完备性和最优性。我们将该算法应用于家谱树子宇宙建模的数学模式，并提供了用于实现部分非关系型约束的SQL和VBA代码示例，同时给出了开发此类约束执行代码的指导原则。