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By Bohm J.

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For this model we exhibit and study the counterpart to the well-known decomposition of a relation scheme according to a nontrivial nonkey functional dependency. For decomposing a class of a database schema the transformation pivoting is used. Pivoting separates apart some attributes of the class into a newly generated class. This new class is declared to be a subclass of the result class of the so-called pivot attribute. Moreover the pivot attribute provides the link between the original class and the new subclass.

8 Pivoting with Functional Dependencies Only Although in general pivoting might increase the path length of path functional dependencies, by adding the pivot attribute mp as a prefix, in most practical cases simplification is hoped to actually avoid such an increase. e. all path functional dependencies have only path-functions of length 1), then simplification will come up with functional dependencies again in many cases. But not in all cases, as demonstrated by the example in the introductory section.

It is t1 =t2 where t1 and t2 are terms of the same sort. It is t ∈ s where t is a path term and s is a nested path expression. φ ∧ ψ (resp. φ ∨ ψ, ¬ φ, (∃X) φ and (∀X) φ where φ and ψ are path formulas. Intuitively, t ∈ s intends to check that the path t is among the paths spelled by the path expression s. 2 (Nested path query). A nested path query of arity n is of the form {X1 , . . n, Xi is a path variable, and the set F ree(ϕ) of free variables of ϕ is exactly {X1 , . . , Xn }. 3. Let us consider the nested path query r : {X | imdb q(X)} where q is the unary query {Y | Y ∈ title}.

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