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jan@42442: %% Titelblatt-Einstellungen
jan@42442: \institute[IST]{Institute for Software Technology\\Graz University of Technology}
jan@42442: \title[ISAC for Signal Processing]{Interactive Course Material by TP-based Programming}
jan@42442: \subtitle{A Case Study}
jan@42442: \author{Jan Ro\v{c}nik}
jan@42442: \date{24. June 2012}
jan@42442: 
jan@42442: % Subject and Keywords for PDF
jan@42442: \subject{CADGME Presentation}
jan@42442: \keywords{interactive course material, signal processing, z transform, TP-based programming
jan@42442: language, Lucas-Interpreter, Theorem Proving}
jan@42442: 
jan@42442: \titlegraphic{\includegraphics[width=20mm]{tuglogo}}
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \begin{document}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42442: \begin{frame}[plain]
jan@42442:   \frametitle{}
jan@42442:   \titlepage
jan@42442: \end{frame}
jan@42442: 
jan@42442: 
jan@42442: 
jan@42442: %\begin{frame}
jan@42442: %  \frametitle{Contents}
jan@42442: %  \begin{spacing}{0.3}
jan@42442: %        \tableofcontents[hideallsubsections %
jan@42442: %                        % ,pausesections
jan@42442: %                        ] % erzeugt Inhaltsverzeichnis
jan@42442: %  \end{spacing}
jan@42442: %\end{frame}
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \section{Introduction}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42442: \subsection{isabelle}
jan@42442: \begin{frame}
jan@42442: 	\frametitle{What is Isabelle?}
jan@42444: 	\begin{spacing}{2}
jan@42442: 		\begin{itemize}
jan@42461: 			\item Interactive Theorem Prover (Interactice TP)
jan@42461: 			\item Large body of mechanized math knowledge
jan@42461: 			\item Developed in Cambridge, Munich and Paris
jan@42442: 		\end{itemize}
jan@42442: 	\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: \subsection{isac}
jan@42442: \begin{frame}
jan@42442: 	\frametitle{What is {\isac}?}
jan@42444: 	\begin{spacing}{1.7}
jan@42442: 		\begin{itemize}
jan@42442: 			\item \textcolor{tug}{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal A}$}belle for~{}\textcolor{tug}{${\cal C}$}alculations
jan@42442: 			\item Interactive Course Material
jan@42442: 			\item Learning Coach
jan@42442: 			\item Developed at Austrian Universities
jan@42442: 		\end{itemize}
jan@42442: 	\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: \subsection{motivation}
jan@42442: \begin{frame}
jan@42461: 	\frametitle{{\isac{}} for Interactive Course Material}
jan@42442: 	\begin{itemize}
jan@42442: 		\item Stepwise solving of engineering problems\\
jan@42461: 					{\small $\rightarrow$ \textcolor{tug}{One Framework for all phases of problem solving}}
jan@42442: 		\item Explaining underlying knowledge\\
jan@42442: 					{\small $\rightarrow$  \textcolor{tug}{Transparent Content, Access to Multimedia Content}}
jan@42442: 		\item Checking steps input by the student\\
jan@42442: 					{\small $\rightarrow$ \textcolor{tug}{Proof Situation}}
jan@42442: 		\item Assessing stepwise problem solving\\
jan@42442: 					{\small $\rightarrow$ \textcolor{tug}{One system for tutoring and assessment}}
jan@42442: 	\end{itemize}
jan@42442: \end{frame}
jan@42442: 
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \section{Material Creation}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42461: \subsection{steps}
jan@42442: \begin{frame}
jan@42444: 	\frametitle{Course Material Creation {\normalsize Iterations}} %tasks? work flow?
jan@42444: 	\begin{spacing}{1.3}
jan@42444: 		\begin{enumerate}
jan@42444: 			\item Problem Analysis\\
jan@42461: 				{\small Variants of problem solving steps} %example partial fractions
jan@42461: 			\item \textbf{Analysis of mechanized knowledge}\\
jan@42461: 				{\small Existing and missing knowledge}
jan@42461: 			\item \textbf{Programming in a TP based language (TP-PL)}			
jan@42461: 			\item Additional Content\\
jan@42461: 				{\small Multimedia explanations for underlying knowledge}
jan@42444: 		\end{enumerate}
jan@42442: 	\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: \subsection{issues}
jan@42442: \begin{frame}
jan@42444: 	\frametitle{Issues to Accomplish {\normalsize Information Collection}}
jan@42444: 	\begin{spacing}{1.3}
jan@42442: 		\begin{itemize}
jan@42442: 			\item What knowledge is mechanized in Isabelle?\\
jan@42461: 						{\small Theorems, Definitions, Numbers,\ldots}
jan@42461: 			\item What knowledge is mechanized in {\isac{}}?\\
jan@42461: 						{\small Problem specifications, Programs,\ldots}
jan@42461: 			\item What additional explanations are required?\\
jan@42461: 				{\small Figures, Examples,\ldots}
jan@42442: 		\end{itemize}
jan@42442: 	\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \section{Details}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42442: \subsection{Technical Survey}
jan@42461: %\begin{frame}
jan@42461: %	\frametitle{Technical Survey I {\normalsize Mechanizing Knowledge}}
jan@42461: %	\begin{spacing}{1.5}
jan@42461: %		\begin{itemize}
jan@42461: %			\item Not enough knowledge is mechanized\\
jan@42461: %						{\small Equation Solving, Integrals,\ldots}
jan@42461: %			\item Computer Mathematicians required!\\
jan@42461: %						{\small Mathematics: Equation solving, Engineer: Z-Transform}
jan@42461: %			\item RISC Linz, Mathematics TU Graz
jan@42461: %		\end{itemize}
jan@42461: %	\end{spacing}
jan@42461: %\end{frame}
jan@42461: 
jan@42461: %\begin{frame}
jan@42461: %	\frametitle{Technical Survey II {\normalsize Representation Problems} }
jan@42461: %	\begin{spacing}{1.9}
jan@42461: %		\begin{itemize}
jan@42461: %			\item Different brackets have different meanings\\
jan@42461: %						{\small $u[n]$ is a specific function application :) }
jan@42461: %			\item We need Symbols, Indizes and Hochzahlen
jan@42461: %			\item Different Representations for different purpos %winkel in polar oder kartesischen koordinaten usw.
jan@42461: %		\end{itemize}
jan@42461: %	\end{spacing}
jan@42461: %\end{frame}
jan@42442: 
jan@42442: \begin{frame}
jan@42461: 	\frametitle{Representation Problems}
jan@42461: 	\begin{spacing}{1.4}
jan@42444: 		\begin{center}
jan@42461: 			
jan@42461: 			  \begin{itemize}
jan@42461: 			  		\item Can meaning of symbols be varied?\\
jan@42461: 							{\small $u[n]$ is a specific function in Signal Processing}
jan@42461: 						\item Simplification, tricks and beauty
jan@42461: 				\end{itemize}
jan@42461: 				
jan@42444: 				{\small $X\cdot(a+b)+Y\cdot(c+d)=aX+bX+cY+dY$}\\
jan@42444: 				\vspace{3mm}
jan@42444: 				{\small $\frac{1}{j\omega}\cdot\left(e^{-j\omega}-e^{j3\omega}\right)=\frac{1}{j\omega}\cdot e^{-j2\omega}\cdot\left(e^{j\omega}-e^{-j\omega}\right)=$}\\
jan@42444: 				{\small $=\frac{1}{\omega}\, e^{-j2\omega}\cdot\colorbox{lgray}{$\frac{1}{j}\,\left(e^{j\omega}-e^{-j\omega}\right)$}=\frac{1}{\omega}\,e^{-j2\omega}\cdot\colorbox{lgray}{$2\, sin(\omega)$} $}
jan@42461: 		
jan@42461: 		
jan@42444: 		\end{center}
jan@42444: 	\end{spacing}
jan@42444: \end{frame}
jan@42444: 
jan@42442: \subsection{Demonstration}
jan@42442: \begin{frame}
jan@42461: 	\frametitle{Demonstration}
jan@42442: 	\begin{spacing}{1.5}
jan@42442: 		\begin{itemize}
jan@42461: 			\item Backend
jan@42444: 			\begin{itemize}
jan@42444: 				\item Equation solving
jan@42444: 				\item Notation problems, Working with Rulesets
jan@42444: 				\item Framework expansion
jan@42444: 				\item My Work
jan@42444: 			\end{itemize}
jan@42442: 		\end{itemize}
jan@42442: 	\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \section{Summary}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42444: \subsection{conclusion}
jan@42442: \begin{frame}
jan@42442: 	\frametitle{Conclusion}
jan@42442: 	\begin{spacing}{1.2}
jan@42442: 	    \begin{itemize}
jan@42461: 	    	\item Proof of concept for TP-PL succesfull
jan@42461: 				\item Usability of TP-PL not sufficient
jan@42461: 				\item Requirements for improved usability clarified
jan@42442: 				\vspace{5mm}
jan@42461: 				\item Unacceptable to spend 200h on 1 program
jan@42442: 				\item \isac{} pointed at my own error
jan@42442: 			\end{itemize}
jan@42442: 		\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42444: \subsection{contact}
jan@42442: \begin{frame}
jan@42442: 	\frametitle{Contact}
jan@42444: 	\begin{spacing}{1.7}
jan@42444: 	    \begin{tabular}{lr}
jan@42444: 				Isabelle & \small \texttt{\href{isabelle.in.tum.de}{isabelle.in.tum.de}}\\
jan@42444: 				The {\isac}-Project & \small \texttt{\href{www.ist.tugraz.at/isac}{www.ist.tugraz.at/isac}}\\
jan@42461: 				Project leader & \small \texttt{\href{mailto:wneuper@ist.tugraz.at}{wneuper@ist.tugraz.at}}\\
jan@42444: 				Jan Rocnik & \small \texttt{\href{mailto:jan.rocnik@student.tugraz.at}{jan.rocnik@student.tugraz.at}}
jan@42444: 			\end{tabular}
jan@42442: 		\end{spacing}
jan@42442: \end{frame}
jan@42442: 
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: \end{document}
jan@42442: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
jan@42442: 
jan@42442: %% EOF