Abstract
The family of sets is proposed as the basic structure for modeling data. A family is created by indexing one set of objects by another to represent a directed binary association between two sets. Familial models are shown to have a number of distinct advantages in supporting diverse user views through a hierarchy of abstractions and a variety of derived data, and in describing themselves and other data models through metamodels. An algebra of families is introduced to provide a data definition, maintenance and processing language that is minimal, intuitive, algebraic and theoretically sound. The language is extended to a specification language for database application systems, largely eliminating the need for embedding database constructs into procedural programming languages.
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