(a) Consider the $\mathrm{R}=\{A, B, C, D, E, F, G, H, t, J\}$ and the sel of funclional dependencies. $$ F=\{\{A, B\} \rightarrow\{C\},\{A\} \rightarrow\{D, E\},\{B\} \rightarrow[F] \rightarrow\{G, H\},(D) \rightarrow\{1, A\} . $$ What is the key for $R$ ? Decompose the relation to the highest normal form and explain. 10
Explanation
The key is determined by identifying the attributes that are functionally dependent on other attributes. The decomposition is done to eliminate the multi-valued dependencies and to achieve the highest normal form, which is Boyce-Codd normal form (BCNF).
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