Database Attribute Closure for Candidate Keys

L44 attribute closure: a key tool for finding candidate keys in database normalization. in relational database theory, the closure of an attribute set (denoted as x+) is the complete set of attributes that can be functionally determined from x using a given set of functional dependencies. it is used to identify candidate keys, verify dependencies, and assist in normalization. example: given relation r(a, b, c, d, e) with fds: a -> b, b -> c, c -> d, d -> e. to compute a+: start with {a}, then repeatedly apply fds: a -> b ⇒ {a, b}   b -> c ⇒ {a, b, c}   c -> d ⇒ {a, b, c, d}   d -> e ⇒ {a, b, c, d, e} final closure: a+ = {a, b, c, d, e} since a+ contains all attributes of r, a is a candidate key (since it alone determines all attributes and is minimal). #DBMS #SQL #Databases

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