A relation-algebraic approach to the "Hoare logic" of functional dependencies

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Date
2014
Authors
José Nuno Oliveira
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Abstract
.Abstract algebra has the power to unify seemingly disparate theories once they are encoded into the same abstract formalism. This paper shows how a relation-algebraic rendering of both database dependency theory and Hoare programming logic purports one such unification, in spite of the latter being an algorithmic theory and the former a data theory. The approach equips relational data with functional types and an associated type system which is useful for database operation type checking and optimization. The prospect of a generic, unified approach to both programming and data theories on top of libraries already available in automated deduction systems is envisaged.
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