\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}