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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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\usetikzlibrary{shapes}
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\usetikzlibrary{shadows}
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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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\only<2>{
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\begin{textblock}{11}(1,13)
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\small
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\bl{$P \,\text{says}\, F \vdash Q\,\text{says}\, F\wedge P \,\text{says}\, G $}
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\end{textblock}}
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\only<3>{
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\begin{textblock}{11}(1,13)
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\small
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\bl{$\underbrace{P \,\text{says}\, F}_{\Gamma} \vdash \underbrace{Q\,\text{says}\, F}_{F_1} \,\wedge
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\underbrace{P \,\text{says}\, G}_{F_2} $}
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\end{textblock}}
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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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\begin{center}
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\Large
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\bl{\infer{\Gamma \vdash F_2}{\Gamma \vdash F_1\Rightarrow F_2 & \Gamma \vdash F_1}}\bigskip\bigskip\bigskip
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\bl{\infer{\Gamma\vdash P\,\text{says}\, F}{\Gamma \vdash F}}
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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{Digression: Proofs in CS}
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Formal proofs in CS sound like science fiction?\pause{} Completely irrelevant!\pause
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\begin{itemize}
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\item in 2008, verification of a small C-compiler\medskip
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\item in 2010, verification of a micro-kernel operating system (approximately 8700 loc)
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\begin{itemize}
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\item 200k loc of proof
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\item 25 - 30 person years
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\item found 160 bugs in the C code (144 by the proof)
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\end{itemize}
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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{}
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\begin{tabular}{c@ {\hspace{2mm}}c}
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\\[6mm]
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\begin{tabular}{c}
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\includegraphics[scale=0.11]{harper.jpg}\\[-2mm]
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{\footnotesize Bob Harper}\\[-2.5mm]
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{\footnotesize (CMU)}
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\end{tabular}
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\begin{tabular}{c}
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\includegraphics[scale=0.37]{pfenning.jpg}\\[-2mm]
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{\footnotesize Frank Pfenning}\\[-2.5mm]
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{\footnotesize (CMU)}
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\end{tabular} &
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\begin{tabular}{p{6cm}}
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\raggedright
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\color{gray}{published a proof about a specification in a journal (2005),
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$\sim$31pages}
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\end{tabular}\\
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\pause
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\\[0mm]
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\begin{tabular}{c}
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\includegraphics[scale=0.36]{appel.jpg}\\[-2mm]
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{\footnotesize Andrew Appel}\\[-2.5mm]
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{\footnotesize (Princeton)}
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\end{tabular} &
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\begin{tabular}{p{6cm}}
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\raggedright
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\color{gray}{relied on their proof in a\\ {\bf security} critical application}
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\end{tabular}
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\end{tabular}
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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}
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\frametitle{Proof-Carrying Code}
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\begin{textblock}{10}(2.5,2.2)
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\begin{block}{Idea:}
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\begin{center}
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\begin{tikzpicture}
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\draw[help lines,cream] (0,0.2) grid (8,4);
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\draw[line width=1mm, red] (5.5,0.6) rectangle (7.5,4);
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\node[anchor=base] at (6.5,2.8)
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{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\centering user: untrusted code\end{tabular}};
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\draw[line width=1mm, red] (0.5,0.6) rectangle (2.5,4);
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\node[anchor=base] at (1.5,2.3)
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{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\centering developer ---\\ web server\end{tabular}};
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\onslide<3->{
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\draw[line width=1mm, red, fill=red] (5.5,0.6) rectangle (7.5,1.8);
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\node[anchor=base,white] at (6.5,1.1)
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{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\bf\centering proof- checker\end{tabular}};}
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\node at (3.8,3.0) [single arrow, fill=red,text=white, minimum height=3cm]{\bf code};
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\onslide<2->{
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\node at (3.8,1.3) [single arrow, fill=red,text=white, minimum height=3cm]{\bf certificate};
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\node at (3.8,1.9) {\small\color{gray}{\mbox{}\hspace{-1mm}a proof}};
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}
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\end{tikzpicture}
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\end{center}
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\end{block}
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\end{textblock}
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%\begin{textblock}{15}(2,12)
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%\small
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%\begin{itemize}
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%\item<4-> Appel's checker is $\sim$2700 lines of code (1865 loc of\\ LF definitions;
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%803 loc in C including 2 library functions)\\[-3mm]
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%\item<5-> 167 loc in C implement a type-checker
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%\end{itemize}
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%\end{textblock}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\tikzstyle{every node}=[node distance=25mm,text height=1.5ex, text depth=.25ex]
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\tikzstyle{node1}=[rectangle, minimum size=10mm, rounded corners=3mm, very thick,
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draw=black!50, top color=white, bottom color=black!20]
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\tikzstyle{node2}=[rectangle, minimum size=12mm, rounded corners=3mm, very thick,
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draw=red!70, top color=white, bottom color=red!50!black!20]
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}<2->[squeeze]
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\frametitle{}
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\begin{columns}
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\begin{column}{0.8\textwidth}
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\begin{textblock}{0}(1,2)
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\begin{tikzpicture}
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\matrix[ampersand replacement=\&,column sep=7mm, row sep=5mm]
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{ \&[-10mm]
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\node (def1) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}}; \&
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\node (proof1) [node1] {\large Proof}; \&
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\node (alg1) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}}; \\
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\onslide<4->{\node {\begin{tabular}{c}\small 1st\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
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\onslide<4->{\node (def2) [node2] {\large Spec$^\text{+ex}$};} \&
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\onslide<4->{\node (proof2) [node1] {\large Proof};} \&
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\onslide<4->{\node (alg2) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}};} \\
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\onslide<5->{\node {\begin{tabular}{c}\small 2nd\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
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\onslide<5->{\node (def3) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}};} \&
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\onslide<5->{\node (proof3) [node1] {\large Proof};} \&
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\onslide<5->{\node (alg3) [node2] {\large Alg$^\text{-ex}$};} \\
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\onslide<6->{\node {\begin{tabular}{c}\small 3rd\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
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\onslide<6->{\node (def4) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}};} \&
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\onslide<6->{\node (proof4) [node2] {\large\hspace{1mm}Proof\hspace{1mm}};} \&
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\onslide<6->{\node (alg4) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}};} \\
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};
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\draw[->,black!50,line width=2mm] (proof1) -- (def1);
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\draw[->,black!50,line width=2mm] (proof1) -- (alg1);
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\onslide<4->{\draw[->,black!50,line width=2mm] (proof2) -- (def2);}
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\onslide<4->{\draw[->,black!50,line width=2mm] (proof2) -- (alg2);}
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\onslide<5->{\draw[->,black!50,line width=2mm] (proof3) -- (def3);}
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\onslide<5->{\draw[->,black!50,line width=2mm] (proof3) -- (alg3);}
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\onslide<6->{\draw[->,black!50,line width=2mm] (proof4) -- (def4);}
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\onslide<6->{\draw[->,black!50,line width=2mm] (proof4) -- (alg4);}
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\onslide<3->{\draw[white,line width=1mm] (1.1,3.2) -- (0.9,2.85) -- (1.1,2.35) -- (0.9,2.0);}
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\end{tikzpicture}
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\end{textblock}
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\end{column}
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\end{columns}
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\begin{textblock}{3}(12,3.6)
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\onslide<4->{
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\begin{tikzpicture}
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\node at (0,0) [single arrow, shape border rotate=270, fill=red,text=white]{2h};
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\end{tikzpicture}}
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\end{textblock}
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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{Mars Pathfinder Mission 1997}
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\begin{center}
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\includegraphics[scale=0.15]{marspath1.png}
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\includegraphics[scale=0.16]{marspath3.png}
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\includegraphics[scale=0.3]{marsrover.png}
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\end{center}
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\begin{itemize}
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\item despite NASA's famous testing procedure, the lander crashed frequently on Mars
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\item problem was an algorithm not used in the OS
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\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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65
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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}}$}\\
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\end{tabular}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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432 |
\mode<presentation>{
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\begin{frame}[c]
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434 |
\frametitle{Encrypted Messages}
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|
435 |
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436 |
\begin{itemize}
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\item Alice sends a message \bl{$m$}
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438 |
\begin{center}
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|
439 |
\bl{Alice says $m$}
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440 |
\end{center}\medskip\pause
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441 |
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\item Alice sends an encrypted message \bl{$m$}\\ (with key \bl{$K$})
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443 |
\begin{center}
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\bl{Alice says $\{m\}_K$}
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\end{center}\medskip\pause
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446 |
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\item Decryption of Alice's message\smallskip
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448 |
\begin{center}
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|
449 |
\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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452 |
\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|
458 |
\mode<presentation>{
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459 |
\begin{frame}[c]
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|
460 |
\frametitle{Encryption}
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|
461 |
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462 |
\begin{itemize}
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|
463 |
\item Encryption of a message\smallskip
|
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|
464 |
\begin{center}
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|
465 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K}
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|
466 |
{\Gamma \vdash \text{Alice}\;\text{says}\;m & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
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467 |
\end{center}
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\end{itemize}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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472 |
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473 |
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474 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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475 |
\mode<presentation>{
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476 |
\begin{frame}[c]
|
|
|
477 |
\frametitle{Trusted Third Party}
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478 |
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|
479 |
\begin{itemize}
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|
480 |
\item Alice calls Sam for a key to communicate with Bob
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|
481 |
\item Sam responds with a key that Alice can read and a key Bob can read (pre-shared)
|
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|
482 |
\item Alice sends the message encrypted with the key and the second key it recieved
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|
483 |
\end{itemize}\bigskip
|
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|
484 |
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|
485 |
\begin{center}
|
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|
486 |
\bl{\begin{tabular}{lcl}
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|
487 |
$A$ sends $S$ &:& $\textit{Connect}(A,B)$\\
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|
488 |
$S$ sends $A$ &:& $\{K_{AB}\}_{K_{AS}}$ \textcolor{black}{and} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
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|
489 |
$A$ sends $B$ &:& $\{K_{AB}\}_{K_{BS}}$\\
|
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|
490 |
$A$ sends $B$ &:& $\{m\}_{K_{AB}}$
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491 |
\end{tabular}}
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492 |
\end{center}
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493 |
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494 |
\end{frame}}
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495 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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496 |
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497 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
498 |
\mode<presentation>{
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499 |
\begin{frame}[c]
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|
500 |
\frametitle{Sending Rule}
|
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|
501 |
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|
502 |
\bl{\begin{center}
|
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|
503 |
\mbox{\infer{\Gamma \vdash Q \;\textit{says}\; F}
|
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|
504 |
{\Gamma \vdash P \;\textit{says}\; F & \Gamma \vdash P \;\textit{sends}\; Q : F}}
|
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|
505 |
\end{center}}\bigskip\pause
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|
506 |
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|
507 |
\bl{$P \,\text{sends}\, Q : F \dn$}\\
|
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|
508 |
\hspace{6mm}\bl{$(P \,\text{says}\, F) \Rightarrow (Q \,\text{says}\, F)$}
|
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|
509 |
|
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|
510 |
\end{frame}}
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|
|
511 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
512 |
|
|
|
513 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
514 |
\mode<presentation>{
|
|
|
515 |
\begin{frame}[c]
|
|
|
516 |
\frametitle{Trusted Third Party}
|
|
|
517 |
|
|
|
518 |
\begin{center}
|
|
|
519 |
\bl{\begin{tabular}{l}
|
|
|
520 |
$A$ sends $S$ : $\textit{Connect}(A,B)$\\
|
|
|
521 |
\bl{$S \,\text{says}\, (\textit{Connect}(A,B) \Rightarrow$}\\
|
|
|
522 |
\hspace{2.5cm}\bl{$\{K_{AB}\}_{K_{AS}} \wedge
|
|
|
523 |
\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}})$}\\
|
|
|
524 |
$S$ sends $A$ : $\{K_{AB}\}_{K_{AS}}$ \bl{$\wedge$} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
|
|
|
525 |
$A$ sends $B$ : $\{K_{AB}\}_{K_{BS}}$\\
|
|
|
526 |
$A$ sends $B$ : $\{m\}_{K_{AB}}$
|
|
|
527 |
\end{tabular}}
|
|
|
528 |
\end{center}\bigskip\pause
|
|
|
529 |
|
|
|
530 |
|
|
|
531 |
\bl{$\Gamma \vdash B \,\text{says} \, m$}?
|
|
|
532 |
\end{frame}}
|
|
|
533 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
534 |
|
|
|
535 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
536 |
\mode<presentation>{
|
|
|
537 |
\begin{frame}[c]
|
|
|
538 |
\frametitle{Challenge-Response Protocol}
|
|
|
539 |
|
|
|
540 |
\begin{itemize}
|
|
|
541 |
\item an engine \bl{$E$} and a transponder \bl{$T$} share a key \bl{$K$}\bigskip
|
|
|
542 |
\item \bl{$E$} sends out a \alert{nonce} \bl{$N$} (random number) to \bl{$T$}\bigskip
|
|
|
543 |
\item \bl{$T$} responds with \bl{$\{N\}_K$}\bigskip
|
|
|
544 |
\item if \bl{$E$} receives \bl{$\{N\}_K$} from \bl{$T$} then starts engine
|
|
|
545 |
\end{itemize}
|
|
|
546 |
|
|
|
547 |
\end{frame}}
|
|
|
548 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
549 |
|
|
|
550 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
551 |
\mode<presentation>{
|
|
|
552 |
\begin{frame}[c]
|
|
|
553 |
\frametitle{Challenge-Response Protokol}
|
|
|
554 |
|
|
|
555 |
\begin{center}
|
|
|
556 |
\bl{\begin{tabular}{l}
|
|
|
557 |
$E \;\text{says}\; N$\hfill(start)\\
|
|
|
558 |
$E \;\text{sends}\; T : N$\hfill(challenge)\\
|
|
|
559 |
$(T \;\text{says}\; N) \Rightarrow (T \;\text{sends}\; E : \{N\}_K \wedge$\\
|
|
|
560 |
\hspace{3.5cm} $T \;\text{sends}\; E : \text{Id}(T))$\;\;\;\hfill(response)\\
|
|
|
561 |
$T \;\text{says}\; K$\hfill(key)\\
|
|
|
562 |
$T \;\text{says}\; \text{Id}(T)$\hfill(identity)\\
|
|
|
563 |
$(E \;\text{says}\; \{N\}_K \wedge E \;\text{says}\; \text{Id}(T)) \Rightarrow$\\
|
|
|
564 |
\hspace{5cm}$ \text{start\_engine}(T)$\hfill(engine)\\
|
|
|
565 |
\end{tabular}}
|
|
|
566 |
\end{center}\bigskip
|
|
|
567 |
|
|
|
568 |
\bl{$\Gamma \vdash \text{start\_engine}(T)$}?
|
|
|
569 |
\end{frame}}
|
|
|
570 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
571 |
|
|
|
572 |
\end{document}
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|
573 |
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|
574 |
%%% Local Variables:
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|
575 |
%%% mode: latex
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|
576 |
%%% TeX-master: t
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577 |
%%% End:
|
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578 |
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