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Inspired by the trend on unifying theories of programming, this paper showshow the algebraic treatment of standard data dependency theory equipsrelational data with functional types and an associated type system which isuseful for type checking database operations and for query optimization.  Such a typed approach to database programming is then shown to be of the samefamily as other programming logics such as eg. Hoare logic or that of strongestinvariant functions which has been used in the analysis of while statements.  The prospect of using automated deduction systems such as Prover9 fortype-checking and query optimization on top of such an algebraic approach isconsidered.

Functions as types or the "Hoare logic" of functional dependencies