\begin{frame}
\frametitle{IS-A, `Inheritance'}
\vspace{-.5ex}
\begin{goal}{\emph{Membership} constraints}
\begin{itemize}
\item
\begin{minipage}[t]{.66\textwidth}
\emph{value-based}: assigns an entity to a specific subclass based on attribute values\\
\hint{e.g. a \textit{person} of age $\ge$ 18 is an \textit{adult}}
\end{minipage}~%
\begin{minipage}[t]{.25\textwidth}\vspace{-3ex}
\hspace{1cm}\scalebox{.9}{{\small%
\begin{tikzpicture}[baseline=0ex,every edge/.style={link},node distance=12mm,>=triangle 45]
\node[isa,scale=.7] (R) {ISA};
\node (l) [above of=R,node distance=9mm] {}; \draw [=] (R) -- (l);
\node (r) [below of=R,node distance=7mm] {}; \draw [-] (R) -- node[right,align=center,pos=.9] {\textit{age}\\[-.5ex] $\ge$ 18} (r);
\end{tikzpicture}%
}}
\end{minipage}\vspace{-0ex}
\item default is \emph{user-defined}: manual assignment to subclasses
\end{itemize}
\end{goal}
\pause
\vspace{-.75ex}
\begin{goal}{\emph{Disjointness} constraints}
\begin{itemize}
\item
\begin{minipage}[t]{.66\textwidth}
\emph{disjoint}: an entity can belong to at most one subclass;
\hint{e.g. a \textit{fruit} can be an \textit{apple} or a \textit{pear}, but not both}
\end{minipage}~%
\begin{minipage}[t]{.25\textwidth}\vspace{-3ex}
\hspace{.8cm}\scalebox{.9}{{\small%
\begin{tikzpicture}[baseline=0ex,every edge/.style={link},node distance=12mm,>=triangle 45]
\node[isa,scale=.7] (R) {ISA};
\node (l) [above of=R,node distance=9mm] {}; \draw [=] (R) -- (l);
\node (r) [below of=R,node distance=7mm] {}; \draw [-] (R) -- node[right,pos=.7] {disjoint} (r);
\end{tikzpicture}%
}}
\end{minipage}
\item default is \emph{overlapping}: can belong to multiple subclasses
\end{itemize}
\end{goal}
\pause
\vspace{-.75ex}
\begin{goal}{\emph{Completeness} constraints}
\begin{itemize}
\item
\begin{minipage}[t]{.66\textwidth}
\emph{total specialisation (generalisation)} constraint:
each superclass entity must belong to a subclass;
\hint{e.g. a \textit{person} is either a \textit{minor} or an \textit{adult}}
\end{minipage}~%
\begin{minipage}[t]{.25\textwidth}\vspace{-3ex}
\hspace{1cm}\scalebox{.9}{{\small%
\begin{tikzpicture}[baseline=0ex,every edge/.style={link},node distance=12mm,>=triangle 45]
\node[isa,scale=.7] (R) {ISA};
\node (l) [above of=R,node distance=9mm] {}; \draw [-,double,double distance=1] (R) -- (l);
\node (r) [below of=R,node distance=7mm] {}; \draw [-] (R) -- (r);
\end{tikzpicture}%
}}
\end{minipage}
% \vspace{.1ex}
% \item default is \emph{partial specialisation (generalisation)}:
% entities of the superclass may not belong to any subclass
\end{itemize}
\end{goal}
\end{frame}