The (Elementary) Mathematical Data Model Revisited

Abstract

This paper presents the current version of our (Elementary) Mathematical Data Model ((E)MDM), which is based on the na\"ive theory of sets, relations, and functions, as well as on the first-order predicate calculus with equality. Many real-life examples illustrate its 4 types of sets, 4 types of functions, and 76 types of constraints. This rich panoply of constraints is the main strength of this model, guaranteeing that any data value stored in a database is plausible, which is the highest possible level of syntactical data quality. A (E)MDM example scheme is presented and contrasted with some popular family tree software products. The paper also presents the main (E)MDM related approaches in data modeling and processing.