\begin{frame}
\frametitle{Introduction}
\begin{block}{Recall the Decomposition Theorem}
The split of relations is \emph{guaranteed to be lossless} if the
intersection (the shared set attributes) of the attributes of the new tables is a key of at least one of them.
\end{block}
\pause
\begin{alertblock}{}
The condition in the decomposition theorem is only
\begin{itemize}
\item \emph{sufficient} (it guarantees losslessness),
\item but \emph{not necessary} (a decomposition might be lossless
even if the condition is not satisfied).
\end{itemize}
\end{alertblock}
\bigskip
\pause
\begin{goal}{}
\emph{Multivalued dependencies (MVDs)} are constraints that
give a \emph{necessary and sufficient} condition for lossless decomposition
\end{goal}
MVDs lead to the \emph{Fourth Normal Form (4NF)}.
\end{frame}