\begin{frame} \frametitle{Third Normal Form vs. Boyce-Codd Normal Form} In short, we can say: \bigskip \begin{goal}{} BCNF $\iff$ for every non-trivial FD: \begin{itemize} \item the left-hand side contains a key \end{itemize} \end{goal} \bigskip \begin{goal}{} 3NF $\iff$ for every non-trivial FD: \begin{itemize} \item the left-hand side contains a key, or \item the right-hand side is an attribute of a minimal key \end{itemize} \end{goal} \end{frame}