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Superkey
In the relational data model a superkey is any set of attributes that uniquely identifies each tuple of a relation. Because superkey values are unique, tuples with the same superkey value must also have the same non-key attribute values. That is, non-key attributes are functionally dependent on the superkey. The set of all attributes is always a superkey (the trivial superkey). Tuples in a relation are by definition unique, with duplicates removed after each operation, so the set of all attributes is always uniquely valued for every tuple. A candidate key (or minimal superkey) is a superkey that can't be reduced to a simpler superkey by removing an attribute. For example, in an employee schema with attributes, , , and , if values are unique then combined with any or all of the other attributes can uniquely identify tuples in the table. Each combination, { }, {, }, { , , }, and so on is a superkey. { } is a candidate key, since no subset of its attributes is also a superkey. {, , , } is the trivial superkey. If attribute set K is a superkey of relation R, then at all times it is the case that the projection of R over K has the same cardinality as R itself.
Example
First, list out all the sets of attributes: Second, eliminate all the sets which do not meet superkey's requirement. For example, {Monarch Name, Royal House} cannot be a superkey because for the same attribute values (Edward, Plantagenet), there are two distinct tuples: Finally, after elimination, the remaining sets of attributes are the only possible superkeys in this example: In reality, superkeys cannot be determined simply by examining one set of tuples in a relation. A superkey defines a functional dependency constraint of a relation schema which must hold for all possible instance relations of that relation schema.
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