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\documentclass[dvipsnames,14pt,t]{beamer}
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\usepackage{proof}
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\usepackage{beamerthemeplainculight}
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\usepackage[T1]{fontenc}
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\usepackage[latin1]{inputenc}
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\usepackage{mathpartir}
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\usepackage{isabelle}
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\usepackage{isabellesym}
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\usepackage[absolute,overlay]{textpos}
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\usepackage{ifthen}
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\usepackage{tikz}
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\usepackage{courier}
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\usepackage{listings}
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\usetikzlibrary{arrows}
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\usetikzlibrary{positioning}
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\usetikzlibrary{calc}
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\usepackage{graphicx}
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\isabellestyle{rm}
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\renewcommand{\isastyle}{\rm}%
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\renewcommand{\isastyleminor}{\rm}%
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\renewcommand{\isastylescript}{\footnotesize\rm\slshape}%
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\renewcommand{\isatagproof}{}
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\renewcommand{\endisatagproof}{}
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\renewcommand{\isamarkupcmt}[1]{#1}
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% Isabelle characters
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\renewcommand{\isacharunderscore}{\_}
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\renewcommand{\isacharbar}{\isamath{\mid}}
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\renewcommand{\isasymiota}{}
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\renewcommand{\isacharbraceleft}{\{}
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\renewcommand{\isacharbraceright}{\}}
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\renewcommand{\isacharless}{$\langle$}
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\renewcommand{\isachargreater}{$\rangle$}
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\renewcommand{\isasymsharp}{\isamath{\#}}
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\renewcommand{\isasymdots}{\isamath{...}}
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\renewcommand{\isasymbullet}{\act}
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\definecolor{javared}{rgb}{0.6,0,0} % for strings
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\definecolor{javagreen}{rgb}{0.25,0.5,0.35} % comments
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\definecolor{javapurple}{rgb}{0.5,0,0.35} % keywords
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\definecolor{javadocblue}{rgb}{0.25,0.35,0.75} % javadoc
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\lstset{language=Java,
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basicstyle=\ttfamily,
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keywordstyle=\color{javapurple}\bfseries,
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stringstyle=\color{javagreen},
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commentstyle=\color{javagreen},
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morecomment=[s][\color{javadocblue}]{/**}{*/},
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numbers=left,
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numberstyle=\tiny\color{black},
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stepnumber=1,
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numbersep=10pt,
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tabsize=2,
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showspaces=false,
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showstringspaces=false}
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\lstdefinelanguage{scala}{
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morekeywords={abstract,case,catch,class,def,%
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do,else,extends,false,final,finally,%
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for,if,implicit,import,match,mixin,%
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new,null,object,override,package,%
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private,protected,requires,return,sealed,%
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super,this,throw,trait,true,try,%
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type,val,var,while,with,yield},
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otherkeywords={=>,<-,<\%,<:,>:,\#,@},
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sensitive=true,
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morecomment=[l]{//},
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morecomment=[n]{/*}{*/},
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morestring=[b]",
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morestring=[b]',
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morestring=[b]"""
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}
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\lstset{language=Scala,
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basicstyle=\ttfamily,
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keywordstyle=\color{javapurple}\bfseries,
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stringstyle=\color{javagreen},
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commentstyle=\color{javagreen},
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morecomment=[s][\color{javadocblue}]{/**}{*/},
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numbers=left,
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numberstyle=\tiny\color{black},
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stepnumber=1,
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numbersep=10pt,
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tabsize=2,
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showspaces=false,
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showstringspaces=false}
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% beamer stuff
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\renewcommand{\slidecaption}{APP 07, King's College London, 13 November 2012}
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\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}% for definitions
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\newcommand{\bl}[1]{\textcolor{blue}{#1}}
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\begin{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}<1>[t]
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\frametitle{%
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\begin{tabular}{@ {}c@ {}}
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\\
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\LARGE Access Control and \\[-3mm]
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\LARGE Privacy Policies (7)\\[-6mm]
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\end{tabular}}\bigskip\bigskip\bigskip
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%\begin{center}
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%\includegraphics[scale=1.3]{pics/barrier.jpg}
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%\end{center}
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\normalsize
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\begin{center}
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\begin{tabular}{ll}
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Email: & christian.urban at kcl.ac.uk\\
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Of$\!$fice: & S1.27 (1st floor Strand Building)\\
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Slides: & KEATS (also homework is there)\\
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\end{tabular}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Judgements}
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\begin{center}
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\begin{tikzpicture}[scale=1]
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\draw (0.0,0.0) node {\LARGE \bl{$\Gamma \vdash F$}};
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\onslide<2->{
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\draw (-1,-0.3) node (X) {};
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\draw (-2.0,-2.0) node (Y) {};
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\draw (0.7,-3) node {\begin{tabular}{l}Gamma\\stands for a collection of formulas\\(``assumptions'')\end{tabular}};
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\draw[red, ->, line width = 2mm] (Y) -- (X);
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\draw (1.2,-0.1) node (X1) {};
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\draw (2.8,-0.1) node (Y1) {};
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\draw (4.5,-0.1) node {\begin{tabular}{l}a single formula\end{tabular}};
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\draw[red, ->, line width = 2mm] (Y1) -- (X1);
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\draw (-0.1,0.1) node (X2) {};
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\draw (0.5,1.5) node (Y2) {};
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\draw (1,1.8) node {\begin{tabular}{l}entails sign\end{tabular}};
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\draw[red, ->, line width = 2mm] (Y2) -- (X2);}
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\end{tikzpicture}
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\end{center}
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\pause\pause
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\footnotesize Gimel (Phoenician), Gamma (Greek), C and G (Latin), Gim (Arabic),\\[-2mm] ?? (Indian), Ge (Cyrillic)
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Inference Rules}
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\begin{center}
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\begin{tikzpicture}[scale=1]
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\draw (0.0,0.0) node
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{\Large\bl{\infer{\Gamma \vdash F_1 \wedge F_2}{\Gamma \vdash F_1 & \Gamma \vdash F_2}}};
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\draw (-0.1,-0.7) node (X) {};
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\draw (-0.1,-1.9) node (Y) {};
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\draw (-0.2,-2) node {\begin{tabular}{l}conclusion\end{tabular}};
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\draw[red, ->, line width = 2mm] (Y) -- (X);
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\draw (-1,0.6) node (X2) {};
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\draw (0.0,1.6) node (Y2) {};
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\draw (0,1.8) node {\begin{tabular}{l}premisses\end{tabular}};
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\draw[red, ->, line width = 2mm] (Y2) -- (X2);
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\draw (1,0.6) node (X3) {};
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\draw (0.0,1.6) node (Y3) {};
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\draw[red, ->, line width = 2mm] (Y3) -- (X3);
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\end{tikzpicture}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Trusted Third Party}
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Simple protocol for establishing a secure connection via a mutually
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trusted 3rd party (server):
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\begin{center}
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\begin{tabular}{@ {\hspace{-7mm}}l@{\hspace{2mm}}r@ {\hspace{1mm}}l}
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Message 1 & \bl{$A \rightarrow S :$} & \bl{$A, B$}\\
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Message 2 & \bl{$S \rightarrow A :$} & \bl{$\{K_{AB}\}_{K_{AS}}$} and \bl{$\{\{K_{AB}\}_{K_{BS}} \}_{K_{AS}}$}\\
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Message 3 & \bl{$A \rightarrow B :$} & \bl{$\{K_{AB}\}_{K_{BS}} $}\\
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Message 4 & \bl{$A \rightarrow B :$} & \bl{$\{m\}_{K_{AB}}$}\\
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\end{tabular}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Encrypted Messages}
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\begin{itemize}
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\item Alice sends a message \bl{$m$}
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\begin{center}
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\bl{Alice says $m$}
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\end{center}\medskip\pause
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\item Alice sends an encrypted message \bl{$m$}\\ (with key \bl{$K$})
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\begin{center}
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\bl{Alice says $\{m\}_K$}
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\end{center}\medskip\pause
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\item Decryption of Alice's message\smallskip
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\begin{center}
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\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;m}
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{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
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\end{center}
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\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Encryption}
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\begin{itemize}
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\item Encryption of a message\smallskip
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\begin{center}
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\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K}
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{\Gamma \vdash \text{Alice}\;\text{says}\;m & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
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\end{center}
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\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Trusted Third Party}
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\begin{itemize}
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\item Alice calls Sam for a key to communicate with Bob
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\item Sam responds with a key that Alice can read and a key Bob can read (pre-shared)
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\item Alice sends the message encrypted with the key and the second key it recieved
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\end{itemize}\bigskip
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\begin{center}
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\bl{\begin{tabular}{lcl}
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$A$ sends $S$ &:& $\textit{Connect}(A,B)$\\
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$S$ sends $A$ &:& $\{K_{AB}\}_{K_{AS}}$ \textcolor{black}{and} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
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$A$ sends $B$ &:& $\{K_{AB}\}_{K_{BS}}$\\
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$A$ sends $B$ &:& $\{m\}_{K_{AB}}$
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\end{tabular}}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Sending Rule}
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\bl{\begin{center}
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\mbox{\infer{\Gamma \vdash Q \;\textit{says}\; F}
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{\Gamma \vdash P \;\textit{says}\; F & \Gamma \vdash P \;\textit{sends}\; Q : F}}
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\end{center}}\bigskip\pause
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\bl{$P \,\text{sends}\, Q : F \dn$}\\
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\hspace{6mm}\bl{$(P \,\text{says}\, F) \Rightarrow (Q \,\text{says}\, F)$}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Trusted Third Party}
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\begin{center}
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\bl{\begin{tabular}{l}
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$A$ sends $S$ : $\textit{Connect}(A,B)$\\
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\bl{$S \,\text{says}\, (\textit{Connect}(A,B) \Rightarrow$}\\
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\hspace{2.5cm}\bl{$\{K_{AB}\}_{K_{AS}} \wedge
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\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}})$}\\
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$S$ sends $A$ : $\{K_{AB}\}_{K_{AS}}$ \bl{$\wedge$} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
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$A$ sends $B$ : $\{K_{AB}\}_{K_{BS}}$\\
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$A$ sends $B$ : $\{m\}_{K_{AB}}$
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\end{tabular}}
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\end{center}\bigskip\pause
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\bl{$\Gamma \vdash B \,\text{says} \, m$}?
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Challenge-Response Protocol}
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\begin{itemize}
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\item an engine \bl{$E$} and a transponder \bl{$T$} share a key \bl{$K$}\bigskip
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\item \bl{$E$} sends out a \alert{nonce} \bl{$N$} (random number) to \bl{$T$}\bigskip
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\item \bl{$T$} responds with \bl{$\{N\}_K$}\bigskip
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\item if \bl{$E$} receives \bl{$\{N\}_K$} from \bl{$T$} then starts engine
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\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\frametitle{Challenge-Response Protokol}
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\begin{center}
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\bl{\begin{tabular}{l}
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$E \;\text{says}\; N$\hfill(start)\\
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$E \;\text{sends}\; T : N$\hfill(challenge)\\
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$(T \;\text{says}\; N) \Rightarrow (T \;\text{sends}\; E : \{N\}_K \wedge$\\
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\hspace{3.5cm} $T \;\text{sends}\; E : \text{Id}(T))$\;\;\;\hfill(response)\\
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$T \;\text{says}\; K$\hfill(key)\\
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$T \;\text{says}\; \text{Id}(T)$\hfill(identity)\\
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$(E \;\text{says}\; \{N\}_K \wedge E \;\text{says}\; \text{Id}(T)) \Rightarrow$\\
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\hspace{5cm}$ \text{start\_engine}(T)$\hfill(engine)\\
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\end{tabular}}
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\end{center}\bigskip
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\bl{$\Gamma \vdash \text{start\_engine}(T)$}?
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: t
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%%% End:
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