\documentclass[%
%handout, % prints handouts (=no animations, for printed version)
%mathserif
%xcolor=pst,
14pt
% fleqn
]{beamer}

\usepackage{beamerthemedefault}

\usepackage{color}
\definecolor{lgray}{RGB}{238,238,238}
\definecolor{gray}{rgb}{0.8,0.8,0.8}

\useoutertheme[subsection=false]{smoothbars}
%\useinnertheme{circles}

\setbeamercolor{block title}{fg=black,bg=gray}
\setbeamercolor{block title alerted}{use=alerted text,fg=black,bg=alerted text.fg!75!bg}
\setbeamercolor{block title example}{use=example text,fg=black,bg=example text.fg!75!bg}
\setbeamercolor{block body}{parent=normal text,use=block title,bg=block title.bg!25!bg}
\setbeamercolor{block body alerted}{parent=normal text,use=block title alerted,bg=block title alerted.bg!25!bg}
\setbeamercolor{block body example}{parent=normal text,use=block title example,bg=block title example.bg!25!bg}

%activate hyperlinks at the end
%\usepackage{hyperref}

\usepackage[english]{babel}
\usepackage[utf8]{inputenc}
\usepackage{array}
\usepackage{setspace}
\usepackage{url}

\definecolor{tug}{rgb}{0.96862,0.14509,0.27450}

\def\isac{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}
\def\sisac{{\footnotesize${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}}

\setbeamertemplate{headline}[text line]{
	\begin{beamercolorbox}[wd=\paperwidth,ht=8ex,dp=4ex]{}
		\insertnavigation{0.85\paperwidth} 
		\raisebox{-10pt}{\includegraphics[width=15mm]{tuglogo}}\vskip2pt
		\hskip-1pt\rule{\paperwidth}{0.3pt}
	\end{beamercolorbox}
}

\setbeamertemplate{navigation symbols}{}
\setbeamercolor{footline}{fg=black,bg=gray}

% Fusszeile mit Autor, Titel und Foliennummer / Gesamtfolienzahl
\setbeamertemplate{footline}[text line]{
	\hskip-1pt
	\begin{beamercolorbox}[wd=\paperwidth]{footline}
			\rule{\paperwidth}{0.3pt}
			\colorbox{tug}{\rule{3pt}{0pt}\rule{0pt}{3pt}}
			\textbf{\rule{0pt}{5pt}\insertshortauthor\hfill\insertshortinstitute\hfill%
					\insertshorttitle\rule{1em}{0pt}}
			\rule{\paperwidth}{0.3pt}
	\end{beamercolorbox}
	\begin{beamercolorbox}[wd=\paperwidth,ht=2ex,dp=2ex]{white}
	\end{beamercolorbox}
}%

%% Titelblatt-Einstellungen
\institute[IST]{Institute for Software Technology\\Graz University of Technology}
\title[ISAC for Signal Processing]{Interactive Course Material by TP-based Programming}
\subtitle{A Case Study}
\author{Jan Ro\v{c}nik}
\date{24. June 2012}

% Subject and Keywords for PDF
\subject{CADGME Presentation}
\keywords{interactive course material, signal processing, z transform, TP-based programming
language, Lucas-Interpreter, Theorem Proving}

\titlegraphic{\includegraphics[width=20mm]{tuglogo}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[plain]
  \frametitle{}
  \titlepage
\end{frame}



%\begin{frame}
%  \frametitle{Contents}
%  \begin{spacing}{0.3}
%        \tableofcontents[hideallsubsections %
%                        % ,pausesections
%                        ] % erzeugt Inhaltsverzeichnis
%  \end{spacing}
%\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Introduction}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\subsection{isabelle}
\begin{frame}
	\frametitle{What is Isabelle?}
	\begin{spacing}{2}
		\begin{itemize}
			\item Interactive Theorem Prover (Interactice TP)
			\item Large body of mechanized math knowledge
			\item Developed in Cambridge, Munich and Paris
		\end{itemize}
	\end{spacing}
\end{frame}

\subsection{isac}
\begin{frame}
	\frametitle{What is {\isac}?}
	\begin{spacing}{1.7}
		\begin{itemize}
			\item \textcolor{tug}{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal A}$}belle for~{}\textcolor{tug}{${\cal C}$}alculations
			\item Interactive Course Material
			\item Learning Coach
			\item Developed at Austrian Universities
		\end{itemize}
	\end{spacing}
\end{frame}

\subsection{motivation}
\begin{frame}
	\frametitle{{\isac{}} for Interactive Course Material}
	\begin{itemize}
		\item Stepwise solving of engineering problems\\
					{\small $\rightarrow$ \textcolor{tug}{One Framework for all phases of problem solving}}
		\item Explaining underlying knowledge\\
					{\small $\rightarrow$  \textcolor{tug}{Transparent Content, Access to Multimedia Content}}
		\item Checking steps input by the student\\
					{\small $\rightarrow$ \textcolor{tug}{Proof Situation}}
		\item Assessing stepwise problem solving\\
					{\small $\rightarrow$ \textcolor{tug}{One system for tutoring and assessment}}
	\end{itemize}
\end{frame}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Material Creation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\subsection{steps}
\begin{frame}
	\frametitle{Course Material Creation {\normalsize Iterations}} %tasks? work flow?
	\begin{spacing}{1.3}
		\begin{enumerate}
			\item Problem Analysis\\
				{\small Variants of problem solving steps} %example partial fractions
			\item \textbf{Analysis of mechanized knowledge}\\
				{\small Existing and missing knowledge}
			\item \textbf{Programming in a TP based language (TP-PL)}			
			\item Additional Content\\
				{\small Multimedia explanations for underlying knowledge}
		\end{enumerate}
	\end{spacing}
\end{frame}

\subsection{issues}
\begin{frame}
	\frametitle{Issues to Accomplish {\normalsize Information Collection}}
	\begin{spacing}{1.3}
		\begin{itemize}
			\item What knowledge is mechanized in Isabelle?\\
						{\small Theorems, Definitions, Numbers,\ldots}
			\item What knowledge is mechanized in {\isac{}}?\\
						{\small Problem specifications, Programs,\ldots}
			\item What additional explanations are required?\\
				{\small Figures, Examples,\ldots}
		\end{itemize}
	\end{spacing}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Details}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\subsection{Technical Survey}
%\begin{frame}
%	\frametitle{Technical Survey I {\normalsize Mechanizing Knowledge}}
%	\begin{spacing}{1.5}
%		\begin{itemize}
%			\item Not enough knowledge is mechanized\\
%						{\small Equation Solving, Integrals,\ldots}
%			\item Computer Mathematicians required!\\
%						{\small Mathematics: Equation solving, Engineer: Z-Transform}
%			\item RISC Linz, Mathematics TU Graz
%		\end{itemize}
%	\end{spacing}
%\end{frame}

%\begin{frame}
%	\frametitle{Technical Survey II {\normalsize Representation Problems} }
%	\begin{spacing}{1.9}
%		\begin{itemize}
%			\item Different brackets have different meanings\\
%						{\small $u[n]$ is a specific function application :) }
%			\item We need Symbols, Indizes and Hochzahlen
%			\item Different Representations for different purpos %winkel in polar oder kartesischen koordinaten usw.
%		\end{itemize}
%	\end{spacing}
%\end{frame}

\begin{frame}
	\frametitle{Representation Problems}
	\begin{spacing}{1.4}
		\begin{center}
			
			  \begin{itemize}
			  		\item Can meaning of symbols be varied?\\
							{\small $u[n]$ is a specific function in Signal Processing}
						\item Simplification, tricks and beauty
				\end{itemize}
				
				{\small $X\cdot(a+b)+Y\cdot(c+d)=aX+bX+cY+dY$}\\
				\vspace{3mm}
				{\small $\frac{1}{j\omega}\cdot\left(e^{-j\omega}-e^{j3\omega}\right)=\frac{1}{j\omega}\cdot e^{-j2\omega}\cdot\left(e^{j\omega}-e^{-j\omega}\right)=$}\\
				{\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}{$2\, sin(\omega)$} $}
		
		
		\end{center}
	\end{spacing}
\end{frame}

\subsection{Demonstration}
\begin{frame}
	\frametitle{Demonstration}
	\begin{spacing}{1.5}
		\begin{itemize}
			\item Backend
			\begin{itemize}
				\item Equation solving
				\item Notation problems, Working with Rulesets
				\item Framework expansion
				\item My Work
			\end{itemize}
		\end{itemize}
	\end{spacing}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Summary}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\subsection{conclusion}
\begin{frame}
	\frametitle{Conclusion}
	\begin{spacing}{1.2}
	    \begin{itemize}
	    	\item Proof of concept for TP-PL succesfull
				\item Usability of TP-PL not sufficient
				\item Requirements for improved usability clarified
				\vspace{5mm}
				\item Unacceptable to spend 200h on 1 program
				\item \isac{} pointed at my own error
			\end{itemize}
		\end{spacing}
\end{frame}

\subsection{contact}
\begin{frame}
	\frametitle{Contact}
	\begin{spacing}{1.7}
	    \begin{tabular}{lr}
				Isabelle & \small \texttt{\href{isabelle.in.tum.de}{isabelle.in.tum.de}}\\
				The {\isac}-Project & \small \texttt{\href{www.ist.tugraz.at/isac}{www.ist.tugraz.at/isac}}\\
				Project leader & \small \texttt{\href{mailto:wneuper@ist.tugraz.at}{wneuper@ist.tugraz.at}}\\
				Jan Rocnik & \small \texttt{\href{mailto:jan.rocnik@student.tugraz.at}{jan.rocnik@student.tugraz.at}}
			\end{tabular}
		\end{spacing}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\end{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% EOF