intro slide
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\begin{frame}
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\begin{frame}[t, fragile]
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\frametitle{Type Systems}
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\frametitle{Type Systems}
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\framesubtitle{Safety <> Flexibility}
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\framesubtitle{Safety <> Flexibility}
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\begin{itemize}
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\centering
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\item<1-> Goal: eliminate undefined behaviour,
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\includegraphics[width=0.9\textwidth]{intro.pdf}
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facilitate abstract code
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\item<2-> simple types are overly restrictive,
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loss of low level control
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\item<3-|alert@3> polymorphism
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\pause
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(regain flexibility in type-safe way)
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\begin{block}{type information in comments}
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\begin{itemize}
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\begin{lstlisting}
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\item<4-> parametric polymorphism (generics)
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\item<4-> subtype polymorphism (inheritance / coercions)
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\end{itemize}
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\end{itemize}
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\end{frame}
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\begin{frame}[t, fragile]{Type Systems}
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\framesubtitle{Safety <> Flexibility}
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\begin{lstlisting}
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/* this is an angle in degrees */
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/* this is an angle in degrees */
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double hue = 156.4;
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double hue = 156.4;
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\end{lstlisting}
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\end{lstlisting}
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\end{block}
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\end{frame}
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\end{frame}
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\begin{frame}[t, fragile]{Example - Image Processing}
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\begin{lstlisting}
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image-read :: FilePath -> [Color]
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image-write :: FilePath -> [Color] -> ()
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image-mix :: $\mathbb{R}$ -> [Color] -> [Color] -> [Color]
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image-saturate :: $\mathbb{R}$ -> [Color] -> [Color]
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let im1 = image-read "in1.png"
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let im2 = image-read "in2.png"
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let im3 = image-mix 0.5
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im1
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(image-saturate 0.8 im2)
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image-write "out.png" im3
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\end{lstlisting}
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\end{frame}
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\begin{frame}{Performance Checklist}
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\begin{frame}{Performance Checklist}
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@ -124,7 +128,6 @@ image-write "out.png" im3
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\end{lstlisting}
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\end{lstlisting}
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\end{frame}
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\end{frame}
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\begin{frame}{Example - Image Processing}
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\begin{frame}{Example - Image Processing}
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\framesubtitle{More Types}
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\framesubtitle{More Types}
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\end{frame}
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\end{frame}
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\begin{frame}{Abstract Concept - Multiple Representations}
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\begin{frame}{Example - Image Processing}
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\framesubtitle{OpenGL Image Formats}
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\framesubtitle{OpenGL Image Formats}
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\begin{itemize}
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\begin{itemize}
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@ -340,7 +343,7 @@ image-write "out.png" im3
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\begin{frame}{Morphisms}
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\begin{frame}{Morphisms}
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\framesubtitle{Coherence}
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\framesubtitle{Coherence}
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\begin{block}{Coherence Condition}
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\begin{block}{Morphism Condition}
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Assume\\
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Assume\\
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\(\metavariable{m_\sigma} : \typeterminal{\metavariable{\sigma} \sim \metavariable{\sigma_1} \rightarrow_\text{morph} \metavariable{\sigma} \sim \metavariable{\sigma_2}}\)\\
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\(\metavariable{m_\sigma} : \typeterminal{\metavariable{\sigma} \sim \metavariable{\sigma_1} \rightarrow_\text{morph} \metavariable{\sigma} \sim \metavariable{\sigma_2}}\)\\
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\(\metavariable{m_\tau} : \typeterminal{\metavariable{\tau} \sim \metavariable{\tau_1} \rightarrow_\text{morph} \metavariable{\tau} \sim \metavariable{\tau_2}}\)\\
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\(\metavariable{m_\tau} : \typeterminal{\metavariable{\tau} \sim \metavariable{\tau_1} \rightarrow_\text{morph} \metavariable{\tau} \sim \metavariable{\tau_2}}\)\\
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@ -688,8 +691,11 @@ D :: \Gamma \vdash \metavariable{e} : \metavariable{\tau}\\
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\begin{frame}{Summary}
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\begin{frame}[t, fragile]{Summary}
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todo
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%\begin{tabular*}[h]{p{0.5\textwidth}|p{0.5\textwidth}}
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%\end{tabular*}
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\end{frame}
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\end{frame}
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BIN
beamer/lc-beamer/intro.pdf
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BIN
beamer/lc-beamer/intro.pdf
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