Lecture 6. Normalization: Advanced forms. Objectives. How inference rules can identify a set of all functional dependencies for a relation.
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Normalization: Advanced forms
If B is a subset of A, then A → B
If A → B, then A,C → B,C
If A → B and B → C, then A → C
A → A
If A → B,C, then A → B and A → C
If A → B and A → C, then A → B,C
If A → B and C → D then A,C → B,D
A −>> B
A −>> C
A MVD A −>> B in relation R is defined as being trivial if (a) B is a subset of A or (b) A B = R.
A MVD is defined as being nontrivial if neither (a) nor (b) are satisfied.
A trivial MVD does not specify a constraint on a relation, while a nontrivial MVD does specify a constraint.