Algebraization of Inferring Functional Dependences in Relational Databases


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Abstract

The paper considers a closed automaton with six not more than two-address instructions called inference axioms. Its purpose is to transform the so-called functional dependences over an arbitrary finite set R called a scheme. We establish the possibility of a functionally equivalent replacement of algorithms for inferring functional dependences by algebraic expressions with one of the binary algebraic operations ▶ and ▷ with the addition of very simple nullary and unary operations (instructions) to them, which together comprise the universal D-algebra.

About the authors

L. A. Pomortsev

Moscow Institute of Aviation (National Research University); Dorodnicyn Computing Center, Federal Research Center Computer Science,
Russian Academy of Sciences

Author for correspondence.
Email: brickfactory.org@mail.ru
Russian Federation, Moscow, 125993; Moscow, 119333

V. I. Tsurkov

Moscow Institute of Aviation (National Research University); Dorodnicyn Computing Center, Federal Research Center Computer Science,
Russian Academy of Sciences

Author for correspondence.
Email: tsur@ccas.ru
Russian Federation, Moscow, 125993; Moscow, 119333


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