A New Approach to Database Logic.

Abstract
In this paper the authors propose a mathematical framework for unifying and generalizing the three principal data models, i.e., the relational, hierarchical and network models. Until recently most work on database theory has focussed on the relational model, mainly due to its elegance and mathematical simplicity compared to the other models. Some of this work has pointed out various disadvantages of the relational model, among them its lack of semantics and the fact that it forces the data to have a flat structure that the real data does not always have. In the model the authors propose here a database scheme is an arbitrary directed graph. As in the format model, leaves (i.e., nodes with no outgoing edges) represent data, and internal nodes have a function r on L, that assigns r-values to these l-values, and the authors require that the r-values be of the correct form, depending on the type of the node.

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