Theory of random observables in relational data bases
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TL;DR
A statistical data-base model, based on the representation of the attributes by random observables, is introduced and it is shown that such a language has the same deductive power as the formal theories of functional dependencies and of multivalued dependencies.
Abstract
We introduce a statistical data-base model, based on the representation of the attributes by random observables. This is shown to form a conceptual framework for the description both of the data-base contents and of the data-base dependencies. Besides, the application of the information theory to our model allows a high-level data language, suitable for a statistical data analysis, to be developed. Finally, it is shown that such a language has the same deductive power as the formal theories of functional dependencies and of multivalued dependencies.
