Translating database mathematical schemes into relational database software applications with MatBase
Databases
2026-05-12 v4
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 data and knowledge base management system prototype. We prove that this algorithm is very fast, solid, complete, and optimal. We apply it to a Mathema tical 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.
Keywords
Cite
@article{arxiv.2601.10604,
title = {Translating database mathematical schemes into relational database software applications with MatBase},
author = {Christian Mancas and Diana Christina Mancas},
journal= {arXiv preprint arXiv:2601.10604},
year = {2026}
}
Comments
Submitted to Journal of Advances in Knowledge-Based Systems, Data Science, and Cybersecurity, ISSN 2582-9793, on January 22, 2026, published May 8, 2026