13.13

Give a normalized version of the Index_metadata relation, and explain why using the normalized version would result in worse performance.

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The above schema will result in worse performance, because given an index_name we would have to perform a join with the relation Index_Attributes every time we want to see the attributes that are associated with that index.

Note that the above schema is in first normal form. Normalizing it further, to BCNF will result in a more even worse schema in the eyes of performance. It is not in BCNF because of the functional dependency index_name \(\twoheadrightarrow\) relation_name in the table Index_Attributes.