% $Header: /cvsroot/latex-beamer/latex-beamer/solutions/conference-talks/conference-ornate-20min.en.tex,v 1.7 2007/01/28 20:48:23 tantau Exp $

 \documentclass{beamer}

 % This file is a solution template for:

 % - Talk at a conference/colloquium.

 % - Talk length is about 20min.

 % - Style is ornate.

 % Copyright 2004 by Till Tantau <tantau@users.sourceforge.net>.

 %

 % In principle, this file can be redistributed and/or modified under

 % the terms of the GNU Public License, version 2.

 %

 % However, this file is supposed to be a template to be modified

 % for your own needs. For this reason, if you use this file as a

 % template and not specifically distribute it as part of a another

 % package/program, I grant the extra permission to freely copy and

 % modify this file as you see fit and even to delete this copyright

 % notice.

 \mode<presentation>

 {

   \usetheme{Hannover}

   % or ...

   \setbeamercovered{transparent}

   % or whatever (possibly just delete it)

 }

 %\usepackage{setspace} %for "\begin{onehalfspace}"

 \usepackage[english]{babel}

 % or whatever

 \usepackage[utf8]{inputenc}

 % or whatever

 \usepackage{times}

 \usepackage[T1]{fontenc}

 % Or whatever. Note that the encoding and the font should match. If T1

 % does not look nice, try deleting the line with the fontenc.

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

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

 \title[\isac: Computation \& Deduction] % (optional, use only with long paper titles)

 {Integrating Computation and Deduction\\

   in the \isac-System}

 \subtitle{Projektpraktikum: Introducing Isabelle's Contexts}

 \author[Lehnfeld, Neuper] % (optional, use only with lots of authors)

 {Mathias~Lehnfeld\inst{1} \and Walther~Neuper\inst{2}}

 % - Give the names in the same order as the appear in the paper.

 % - Use the \inst{?} command only if the authors have different

 %   affiliation.

 \institute % (optional, but mostly needed)

 {

   \inst{1}%

   Vienna University of Technology

   \and

   \inst{2}%

   Institute of Software Technology\\

   Graz University of Technology

 }

 % - Use the \inst command only if there are several affiliations.

 % - Keep it simple, no one is interested in your street address.

 % \date[CFP 2003] % (optional, should be abbreviation of conference name)

 % {Conference on Fabulous Presentations, 2003}

 % - Either use conference name or its abbreviation.

 % - Not really informative to the audience, more for people (including

 %   yourself) who are reading the slides online

 % \subject{Theoretical Computer Science}

 % This is only inserted into the PDF information catalog. Can be left

 % out.

 % If you have a file called "university-logo-filename.xxx", where xxx

 % is a graphic format that can be processed by latex or pdflatex,

 % resp., then you can add a logo as follows:

 % \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}

 % \logo{\pgfuseimage{university-logo}}

 % Delete this, if you do not want the table of contents to pop up at

 % the beginning of each subsection:

 \AtBeginSubsection[]

 {

   \begin{frame}<beamer>{Outline}

     \tableofcontents[currentsection,currentsubsection]

   \end{frame}

 }

 % If you wish to uncover everything in a step-wise fashion, uncomment

 % the following command:

 %\beamerdefaultoverlayspecification{<+->}

 \begin{document}

 \begin{frame}

   \titlepage

 \end{frame}

 \begin{frame}{Outline}

   \tableofcontents

   % You might wish to add the option [pausesections]

 \end{frame}

 % Structuring a talk is a difficult task and the following structure

 % may not be suitable. Here are some rules that apply for this

 % solution:

 % - Exactly two or three sections (other than the summary).

 % - At *most* three subsections per section.

 % - Talk about 30s to 2min per frame. So there should be between about

 %   15 and 30 frames, all told.

 % - A conference audience is likely to know very little of what you

 %   are going to talk about. So *simplify*!

 % - In a 20min talk, getting the main ideas across is hard

 %   enough. Leave out details, even if it means being less precise than

 %   you think necessary.

 % - If you omit details that are vital to the proof/implementation,

 %   just say so once. Everybody will be happy with that.

 \section[Introduction]{Introduction}

 \subsection[TODO]{Isabelle and \isac}

 \begin{frame}

   \frametitle{Isabelle and \isac}

 TODO

 \end{frame}

 \subsection[TODO]{Computation and deduction in a Lucas-Interpreter}

 \begin{frame}

   \frametitle{Computation and deduction in a Lucas-Interpreter}

 TODO

 \end{frame}

 \section[Contributions]{Contributions of the project}

 \subsection[TODO]{Introduction of Isabelle Contexts}

 \begin{frame}

   \frametitle{TODO}

 TODO

 \end{frame}

 \subsection[TODO]{Redesign of type inference in \isac}

 \begin{frame}

   \frametitle{TODO}

 TODO

 \end{frame}

 \subsection[TODO]{Improvement of functional code}

 \begin{frame}

   \frametitle{Drop \textit{Check\_Elementwise} !}

 %\begin{verbatim}

 %solve (x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 / x, x)

 %   x / (x ^ 2 - 6 * x + 9) - 1 / (x ^ 2 - 3 * x) = 1 / x

 %   x / (x ^ 2 + -1 * (6 * x) + 9) + -1 * 1 / (x ^ 2 + -1 * (3 * x)) = 1 / x

 %   (3 + -1 * x + x ^ 2) / (9 * x + -6 * x ^ 2 + x ^ 3) = 1 / x

 %   (3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3)

 %   solve ((3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3), x)

 %      (3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3)

 %      (3 + -1 * x + x ^ 2) * x - 1 * (9 * x + -6 * x ^ 2 + x ^ 3) = 0

 %      (3 + -1 * x + x ^ 2) * x - (9 * x + -6 * x ^ 2 + x ^ 3) = 0

 %      -6 * x + 5 * x ^ 2 = 0

 %      solve (-6 * x + 5 * x ^ 2 = 0, x)

 %      [x = 0, x = 6 / 5]

 %   [x = 0, x = 6 / 5]

 %   [x = 6 / 5]

 %[x = 6 / 5]

 %\end{verbatim}

 \small{

 %\begin{onehalfspace}

 \begin{tabbing}

 xxx\=xxx\=\kill

 $\mathit{solve}\;(\frac{x}{x ^ 2 - 6 * x + 9} - \frac{1}{x ^ 2 - 3 * x} = \frac{1}{x}, x)$\\ \\

 \>$\frac{x}{x ^ 2 - 6 * x + 9} - \frac{1}{x ^ 2 - 3 * x} = \frac{1}{x}$ \\ \\

 \>$\frac{x}{x ^ 2 + -1 * (6 * x) + 9} + \frac{-1 * 1}{x ^ 2 + -1 * (3 * x)} = \frac{1}{x}$ \\ \\

 %\>$\frac{3 + -1 * x + x ^ 2}{9 * x + -6 * x ^ 2 + x ^ 3} = \frac{1}{x}$ \\ \\

 \>$(3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3)$ \\

 \>$\mathit{solve}\;((3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3), x)$ \\

 \>\>$(3 + -1 * x + x ^ 2) * x = 1 * (9 * x + -6 * x ^ 2 + x ^ 3)$ \\

 %\>\>$(3 + -1 * x + x ^ 2) * x - 1 * (9 * x + -6 * x ^ 2 + x ^ 3) = 0$ \\

 \>\>$(3 + -1 * x + x ^ 2) * x - (9 * x + -6 * x ^ 2 + x ^ 3) = 0$ \\

 \>\>$-6 * x + 5 * x ^ 2 = 0$ \\

 \>\>$\mathit{solve}\;(-6 * x + 5 * x ^ 2 = 0, x)$ \\

 \>\>$[x = 0, x = \frac{6}{5}]$ \\

 \>$[x = 0, x = \frac{6}{5}]$ \\

                                           \`\alert{$\mathit{Check\_Elementwise}\;\mathit{Assumptions}$}\\

 \>$[x = \frac{6}{5}]$ \\

 $[x = \frac{6}{5}]$

 \end{tabbing}

 }

 %\end{onehalfspace}

 \end{frame}

 \subsection[TODO]{Preparation of future development}

 \begin{frame}

   \frametitle{TODO}

 TODO

 \end{frame}

 \section[Problems]{Problems encountered in the project}

 %\subsection[TODO]{TODO}

 \begin{frame}

   \frametitle{TODO}

 \begin{itemize}

 \item Publication of new Isabelle release

 \item Amount of code in Isabelle and \isac

 \item Changes scattered throughout the code

 \end{itemize}

 \end{frame}

 \section{Summary}

 \begin{frame}

   \frametitle{TODO}

 TODO

 \end{frame}

 \end{document}