%0 Journal Article %J JLAP - The Journal of Logic and Algebraic Programming %D 2014 %T A relation-algebraic approach to the 'Hoare logic' of functional dependencies %A José Nuno Oliveira %I Elsevier, North-Holland %X

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 \emph{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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