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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{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{\isamarkupcmt}[1]{#1}
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% Isabelle characters
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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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morecomment=[s][\color{javadocblue}]{/**}{*/},
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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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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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morecomment=[s][\color{javadocblue}]{/**}{*/},
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% beamer stuff
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\renewcommand{\slidecaption}{APP 06, King's College London, 29 October 2012}
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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 (6)\\[-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{1st Week}
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\begin{itemize}
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\item What are hashes and salts?\bigskip\pause
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\item \ldots can be use to store securely data on a client, but
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you cannot make your protocol dependent on the
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presence of the data\bigskip\pause
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\item \ldots can be used to store and verify passwords
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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{2nd Week}
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\begin{itemize}
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\item Buffer overflows\bigskip
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\item choice of programming language can mitigate or even eliminate this problem
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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{3rd Week}
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\begin{itemize}
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\item defence in depth\bigskip
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\item privilege separation afforded by the OS
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\end{itemize}
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\begin{center}
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\begin{tikzpicture}[scale=1]
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\draw[line width=1mm] (0, 1.1) rectangle (1.2,2);
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\draw (4.7,1) node {Internet};
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\draw (0.6,1.7) node {\footnotesize Slave};
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\draw[line width=1mm] (0, 0) rectangle (1.2,0.9);
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\draw (0.6,1.7) node {\footnotesize Slave};
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\draw (0.6,0.6) node {\footnotesize Slave};
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\draw (0.6,-0.5) node {\footnotesize \begin{tabular}{c}unprivileged\\[-1mm] processes\end{tabular}};
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\draw (-2.7,-0.4) node {\footnotesize \begin{tabular}{c}privileged\\[-1mm] process\end{tabular}};
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\draw[line width=1mm] (-1.8, 0) rectangle (-3.6,2);
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\draw (-2.9,1.7) node {\footnotesize Monitor};
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\draw[white] (1.7,1) node (X) {};
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\draw[white] (3.7,1) node (Y) {};
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\draw[red, <->, line width = 2mm] (X) -- (Y);
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\draw[red, <->, line width = 1mm] (-0.4,1.4) -- (-1.4,1.1);
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\draw[red, <->, line width = 1mm] (-0.4,0.6) -- (-1.4,0.9);
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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{4th Week}
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\begin{itemize}
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\item voting\ldots has security requirements that are in tension with each other
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\begin{center}
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integrity vs ballot secrecy\\
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authentication vs enfranchisment
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\end{center}\bigskip
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\item electronic voting makes `whole sale' fraud easier as opposed to `retail attacks'
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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{5th Week}
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\begin{itemize}
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\item access control logic\bigskip
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\item formulas
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\item judgements
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\item inference rules
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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}[t]
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\frametitle{\Large\begin{tabular}{@ {}c@ {}}Access Control Logic\end{tabular}}
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Formulas
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\begin{itemize}
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\item[]
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\begin{center}\color{blue}
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\begin{tabular}[t]{rcl@ {\hspace{10mm}}l}
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\isa{F} & \isa{{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}} & \isa{true} \\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \isa{false} \\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \isa{F\ {\isaliteral{5C3C616E643E}{\isasymand}}\ F} \\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \isa{F\ {\isaliteral{5C3C6F723E}{\isasymor}}\ F} \\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \isa{F\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ F}\\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \isa{p\ {\isaliteral{28}{\isacharparenleft}}t\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}t\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{29}{\isacharparenright}}} \\
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& \isa{{\isaliteral{7C}{\isacharbar}}} & \alert{\isa{P\ says\ F}} & \textcolor{black}{``saying predicate''}\\
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\end{tabular}
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\end{center}
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\end{itemize}
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Judgements
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\begin{itemize}
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\item[] \mbox{\hspace{9mm}}\bl{$\Gamma \vdash \text{F}$}
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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{Inference Rules}
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\begin{center}
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\bl{\infer{\Gamma, F\vdash F}{}}\bigskip\\
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\bl{\infer{\Gamma \vdash F_2}{\Gamma \vdash F_1 \Rightarrow F_2 \quad \Gamma \vdash F_1}}
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\qquad
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\bl{\infer{\Gamma \vdash F_1 \Rightarrow F_2}{F_1, \Gamma \vdash F_2}}\bigskip\\
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\bl{\infer{\Gamma \vdash P\,\text{says}\, F}{\Gamma \vdash F}}\medskip\\
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\bl{\infer{\Gamma \vdash P \,\text{says}\, F_2}
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{\Gamma \vdash P \,\text{says}\, (F_1\Rightarrow F_2) \quad
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\Gamma \vdash P \,\text{says}\, F_1}}
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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{Proofs}
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\begin{center}
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\bl{
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\infer{\Gamma \vdash F}
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{\infer{\hspace{1cm}:\hspace{1cm}}
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{\infer{\hspace{1cm}:\hspace{1cm}}{:}
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&
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\infer{\hspace{1cm}:\hspace{1cm}}{:\quad :}
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}}
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}
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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{The Access Control Problem}
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\begin{center}
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\begin{tikzpicture}[scale=1]
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\draw[line width=1mm] (-.3, -0.5) rectangle (1.5,2);
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\draw (-2.7,1) node {\begin{tabular}{l}access\\request\\ (\bl{$F$})\end{tabular}};
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\draw (4.2,1) node {\begin{tabular}{l}provable/\\not provable\end{tabular}};
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\draw (0.6,0.8) node {\footnotesize \begin{tabular}{l}AC-\\ Checker:\\ applies\\ inference\\ rules\end{tabular}};
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\draw[red, ->, line width = 2mm] (1.7,1) -- (2.7,1);
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\draw[red,<-, line width = 2mm] (-0.6,1) -- (-1.6,1);
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\draw[red, <-, line width = 3mm] (0.6,2.2) -- (0.6,3.2);
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\draw (0.6,4) node {\begin{tabular}{l}\large Access Policy (\bl{$\Gamma$})\end{tabular}};
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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{}
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Recall the following scenario:
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\begin{itemize}
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\item If \textcolor{blue}{Admin} says that \textcolor{blue}{\isa{file\isaliteral{5C3C5E697375623E}{} {}}}
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should be deleted, then this file must be deleted.
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\item \textcolor{blue}{Admin} trusts \textcolor{blue}{Bob} to decide whether
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\textcolor{blue}{\isa{file\isaliteral{5C3C5E697375623E}{}}} should be deleted.
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\item \textcolor{blue}{Bob} wants to delete \textcolor{blue}{\isa{file\isaliteral{5C3C5E697375623E}{}}}.
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59
|
339 |
\end{itemize}\bigskip
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340 |
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341 |
\small
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342 |
\textcolor{blue}{\isa{{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{3D}{\isacharequal}}}\small\begin{tabular}{l}
|
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60
|
343 |
\isa{{\isaliteral{28}{\isacharparenleft}}Admin\ says\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}},\\
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344 |
\isa{{\isaliteral{28}{\isacharparenleft}}Admin\ says\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{28}{\isacharparenleft}}Bob\ says\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}{\isaliteral{29}{\isacharparenright}}{\isaliteral{29}{\isacharparenright}}},\\
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345 |
\isa{Bob\ says\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}}\\
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59
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346 |
\end{tabular}}\medskip
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347 |
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60
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348 |
\textcolor{blue}{\isa{{\isaliteral{5C3C47616D6D613E}{\isasymGamma}}\ {\isaliteral{5C3C7475726E7374696C653E}{\isasymturnstile}}\ del{\isaliteral{5F}{\isacharunderscore}}file\isaliteral{5C3C5E697375623E}{}}}
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349 |
\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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353 |
\mode<presentation>{
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354 |
\begin{frame}[c]
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355 |
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356 |
How to prove \bl{$\Gamma \vdash F$}?\bigskip\bigskip
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357 |
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358 |
\begin{center}
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359 |
\Large \bl{\infer{\Gamma, F\vdash F}{}}
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360 |
\end{center}
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361 |
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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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368 |
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\begin{center}
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\Large
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\bl{\infer{\Gamma \vdash F_1 \Rightarrow F_2}{F_1, \Gamma \vdash F_2}}
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\end{center}
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373 |
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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376 |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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378 |
\mode<presentation>{
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379 |
\begin{frame}[c]
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380 |
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381 |
\begin{center}
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382 |
\Large
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383 |
\bl{\infer{\Gamma \vdash P \,\text{says}\, F}{\Gamma \vdash F}}
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\end{center}
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385 |
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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388 |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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390 |
\mode<presentation>{
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391 |
\begin{frame}[c]
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392 |
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393 |
\begin{center}
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394 |
\Large
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395 |
\bl{\infer{\Gamma \vdash F_1 \vee F_2}{\Gamma \vdash F_1}}\qquad
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396 |
\bl{\infer{\Gamma \vdash F_1 \vee F_2}{\Gamma \vdash F_2}}\
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397 |
\end{center}
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398 |
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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402 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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403 |
\mode<presentation>{
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404 |
\begin{frame}[c]
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405 |
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406 |
\begin{center}
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407 |
\Large
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408 |
\bl{\infer{\Gamma \vdash F_1 \wedge F_2}{\Gamma \vdash F_1 \quad \Gamma \vdash F_2}}
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409 |
\end{center}
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410 |
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411 |
\end{frame}}
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412 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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413 |
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414 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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415 |
\mode<presentation>{
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416 |
\begin{frame}[t]
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417 |
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418 |
I want to prove \bl{$\Gamma \vdash \text{Pred}$}\bigskip\bigskip\pause
|
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419 |
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|
420 |
\begin{enumerate}
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|
421 |
\item I found that \bl{$\Gamma$} contains the assumption \bl{$F_1 \Rightarrow F_2$}\bigskip\pause
|
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|
422 |
\item If I can prove \bl{$\Gamma \vdash F_1$},\pause{} then I can prove
|
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|
423 |
\begin{center}
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|
424 |
\bl{$\Gamma \vdash F_2$}
|
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|
425 |
\end{center}\bigskip\pause
|
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|
426 |
|
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|
427 |
\item So better I try to prove \bl{$\Gamma \vdash \text{Pred}$} with the additional assumption
|
|
|
428 |
\bl{$F_2$}.\bigskip
|
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|
429 |
\begin{center}
|
|
|
430 |
\bl{$F_2, \Gamma \vdash \text{Pred}$}
|
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|
431 |
\end{center}
|
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60
|
432 |
\end{enumerate}
|
|
59
|
433 |
|
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60
|
434 |
\only<4>{
|
|
|
435 |
\begin{textblock}{11}(1,10.5)
|
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|
436 |
\bl{\infer{\Gamma\vdash F_2}{\Gamma\vdash F_1\Rightarrow F_2 & \Gamma\vdash F_1}}
|
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|
437 |
\end{textblock}}
|
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|
438 |
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59
|
439 |
|
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|
440 |
\end{frame}}
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441 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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60
|
442 |
\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}% for definitions
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443 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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444 |
\mode<presentation>{
|
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|
445 |
\begin{frame}[c]
|
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59
|
446 |
|
|
60
|
447 |
\begin{itemize}
|
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|
448 |
\item \bl{$P$} is entitled to do \bl{$F$}\smallskip\\
|
|
|
449 |
\bl{$P \,\text{controls}\, F \,\dn\, (P\,\text{says}\, F) \Rightarrow F$}\medskip
|
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|
450 |
|
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|
451 |
\begin{center}
|
|
|
452 |
\bl{\infer{\Gamma \vdash F}{\Gamma \vdash P\,\text{controls}\, F & \Gamma \vdash P\,\text{says}\,F}}
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|
453 |
\end{center}
|
|
|
454 |
|
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|
455 |
\item \bl{$P$} speaks for \bl{$Q$}\smallskip\\
|
|
|
456 |
\bl{$P \mapsto Q \,\dn\, \forall F. (P\,\text{says}\, F) \Rightarrow (Q \,\text{says}\,F)$}\medskip
|
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|
457 |
|
|
|
458 |
\begin{center}
|
|
|
459 |
\bl{\infer{\Gamma \vdash Q\,\text{says}\,F}{\Gamma \vdash P\mapsto Q & \Gamma \vdash P\,\text{says}\,F}}
|
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|
460 |
\medskip\\
|
|
|
461 |
\bl{\infer{\Gamma \vdash P\,\text{controls}\,F}{\Gamma \vdash P\mapsto Q & \Gamma \vdash Q\,\text{controls}\,F}}\\
|
|
|
462 |
|
|
|
463 |
\end{center}
|
|
|
464 |
\end{itemize}
|
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|
465 |
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|
466 |
\end{frame}}
|
|
|
467 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
468 |
|
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|
469 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
470 |
\mode<presentation>{
|
|
|
471 |
\begin{frame}[c]
|
|
|
472 |
\frametitle{Protocol Specifications}
|
|
|
473 |
|
|
|
474 |
The Needham-Schroeder Protocol:
|
|
|
475 |
|
|
|
476 |
\begin{center}
|
|
|
477 |
\begin{tabular}{@ {\hspace{-7mm}}l@{\hspace{2mm}}r@ {\hspace{1mm}}l}
|
|
|
478 |
Message 1 & \bl{$A \rightarrow S :$} & \bl{$A, B, N_A$}\\
|
|
|
479 |
Message 2 & \bl{$S \rightarrow A :$} & \bl{$\{N_A, B, K_{AB},\{K_{AB}, A\}_{K_{BS}} \}_{K_{AS}}$}\\
|
|
|
480 |
Message 3 & \bl{$A \rightarrow B :$} & \bl{$\{K_{AB}, A\}_{K_{BS}} $}\\
|
|
|
481 |
Message 4 & \bl{$B \rightarrow A :$} & \bl{$\{N_B\}_{K_{AB}}$}\\
|
|
|
482 |
Message 5 & \bl{$A \rightarrow B :$} & \bl{$\{N_B-1\}_{K_{AB}}$}\\
|
|
|
483 |
\end{tabular}
|
|
|
484 |
\end{center}
|
|
|
485 |
|
|
|
486 |
\end{frame}}
|
|
|
487 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
488 |
|
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|
489 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
490 |
\mode<presentation>{
|
|
|
491 |
\begin{frame}[c]
|
|
|
492 |
\frametitle{Trusted Third Party}
|
|
|
493 |
|
|
|
494 |
Simple protocol for establishing a secure connection via a mutually
|
|
|
495 |
trusted 3rd party (server):
|
|
|
496 |
|
|
|
497 |
\begin{center}
|
|
|
498 |
\begin{tabular}{@ {\hspace{-7mm}}l@{\hspace{2mm}}r@ {\hspace{1mm}}l}
|
|
|
499 |
Message 1 & \bl{$A \rightarrow S :$} & \bl{$A, B$}\\
|
|
|
500 |
Message 2 & \bl{$S \rightarrow A :$} & \bl{$\{K_{AB}\}_{K_{AS}}$} and \bl{$\{\{K_{AB}\}_{K_{BS}} \}_{K_{AS}}$}\\
|
|
|
501 |
Message 3 & \bl{$A \rightarrow B :$} & \bl{$\{K_{AB}\}_{K_{BS}} $}\\
|
|
|
502 |
Message 4 & \bl{$A \rightarrow B :$} & \bl{$\{m\}_{K_{AB}}$}\\
|
|
|
503 |
\end{tabular}
|
|
|
504 |
\end{center}
|
|
|
505 |
|
|
|
506 |
\end{frame}}
|
|
|
507 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
508 |
|
|
|
509 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
510 |
\mode<presentation>{
|
|
|
511 |
\begin{frame}[c]
|
|
|
512 |
\frametitle{Sending Messages}
|
|
|
513 |
|
|
|
514 |
\begin{itemize}
|
|
|
515 |
\item Alice sends a message \bl{$m$}
|
|
|
516 |
\begin{center}
|
|
|
517 |
\bl{Alice says $m$}
|
|
|
518 |
\end{center}\medskip\pause
|
|
|
519 |
|
|
|
520 |
\item Alice sends an encrypted message \bl{$m$}\\ (with key \bl{$K$})
|
|
|
521 |
\begin{center}
|
|
|
522 |
\bl{Alice says $\{m\}_K$}
|
|
|
523 |
\end{center}\medskip\pause
|
|
|
524 |
|
|
|
525 |
\item Decryption of Alice's message\smallskip
|
|
|
526 |
\begin{center}
|
|
|
527 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;m}
|
|
62
|
528 |
{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
|
|
60
|
529 |
\end{center}
|
|
|
530 |
\end{itemize}
|
|
|
531 |
|
|
|
532 |
\end{frame}}
|
|
|
533 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
534 |
|
|
|
535 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
536 |
\mode<presentation>{
|
|
|
537 |
\begin{frame}[c]
|
|
|
538 |
\frametitle{Encryption}
|
|
|
539 |
|
|
|
540 |
\begin{itemize}
|
|
|
541 |
\item Encryption of a message\smallskip
|
|
|
542 |
\begin{center}
|
|
|
543 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K}
|
|
62
|
544 |
{\Gamma \vdash \text{Alice}\;\text{says}\;m & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
|
|
60
|
545 |
\end{center}
|
|
|
546 |
\end{itemize}
|
|
|
547 |
|
|
|
548 |
\end{frame}}
|
|
|
549 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
550 |
|
|
61
|
551 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
552 |
\mode<presentation>{
|
|
|
553 |
\begin{frame}[c]
|
|
|
554 |
\frametitle{Public/Private Keys}
|
|
|
555 |
|
|
|
556 |
\begin{itemize}
|
|
|
557 |
\item Bob has a private and public key: \bl{$K_{Bob}^{pub}$}, \bl{$K_{Bob}^{priv}$}\bigskip
|
|
|
558 |
\begin{center}
|
|
|
559 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;m}
|
|
|
560 |
{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_{K_{Bob}^{pub}} &
|
|
|
561 |
\Gamma \vdash K_{Bob}^{priv}}}}
|
|
|
562 |
\end{center}\bigskip\pause
|
|
|
563 |
|
|
|
564 |
\item this is {\bf not} a derived rule!
|
|
|
565 |
\end{itemize}
|
|
|
566 |
|
|
|
567 |
\end{frame}}
|
|
|
568 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
569 |
|
|
|
570 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
571 |
\mode<presentation>{
|
|
|
572 |
\begin{frame}[c]
|
|
|
573 |
\frametitle{Trusted Third Party}
|
|
|
574 |
|
|
|
575 |
\begin{itemize}
|
|
|
576 |
\item Alice calls Sam for a key to communicate with Bob
|
|
|
577 |
\item Sam responds with a key that Alice can read and a key Bob can read (pre-shared)
|
|
|
578 |
\item Alice sends the message encrypted with the key and the second key it recieved
|
|
|
579 |
\end{itemize}\bigskip
|
|
|
580 |
|
|
|
581 |
\begin{center}
|
|
|
582 |
\bl{\begin{tabular}{lcl}
|
|
|
583 |
$A$ sends $S$ &:& $\textit{Connect}(A,B)$\\
|
|
|
584 |
$S$ sends $A$ &:& $\{K_{AB}\}_{K_{AS}}$ \textcolor{black}{and} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
|
|
|
585 |
$A$ sends $B$ &:& $\{K_{AB}\}_{K_{BS}}$\\
|
|
|
586 |
$A$ sends $B$ &:& $\{m\}_{K_{AB}}$
|
|
|
587 |
\end{tabular}}
|
|
|
588 |
\end{center}
|
|
|
589 |
|
|
|
590 |
\end{frame}}
|
|
|
591 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
592 |
|
|
|
593 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
594 |
\mode<presentation>{
|
|
|
595 |
\begin{frame}[c]
|
|
|
596 |
\frametitle{Sending Rule}
|
|
|
597 |
|
|
|
598 |
\bl{\begin{center}
|
|
|
599 |
\mbox{\infer{\Gamma \vdash Q \;\textit{says}\; F}
|
|
|
600 |
{\Gamma \vdash P \;\textit{says}\; F & \Gamma \vdash P \;\textit{sends}\; Q : F}}
|
|
|
601 |
\end{center}}\bigskip\pause
|
|
|
602 |
|
|
|
603 |
\bl{$P \,\text{sends}\, Q : F \dn$}\\
|
|
|
604 |
\hspace{6mm}\bl{$(P \,\text{says}\, F) \Rightarrow (Q \,\text{says}\, F)$}
|
|
|
605 |
|
|
|
606 |
\end{frame}}
|
|
|
607 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
608 |
|
|
|
609 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
610 |
\mode<presentation>{
|
|
|
611 |
\begin{frame}[c]
|
|
|
612 |
\frametitle{Trusted Third Party}
|
|
|
613 |
|
|
|
614 |
\begin{center}
|
|
|
615 |
\bl{\begin{tabular}{l}
|
|
|
616 |
$A$ sends $S$ : $\textit{Connect}(A,B)$\\
|
|
|
617 |
\bl{$S \,\text{says}\, (\textit{Connect}(A,B) \Rightarrow$}\\
|
|
|
618 |
\hspace{2.5cm}\bl{$\{K_{AB}\}_{K_{AS}} \wedge
|
|
62
|
619 |
\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}})$}\\
|
|
61
|
620 |
$S$ sends $A$ : $\{K_{AB}\}_{K_{AS}}$ \bl{$\wedge$} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
|
|
|
621 |
$A$ sends $B$ : $\{K_{AB}\}_{K_{BS}}$\\
|
|
|
622 |
$A$ sends $B$ : $\{m\}_{K_{AB}}$
|
|
|
623 |
\end{tabular}}
|
|
|
624 |
\end{center}\bigskip\pause
|
|
|
625 |
|
|
|
626 |
|
|
|
627 |
\bl{$\Gamma \vdash B \,\text{says} \, m$}?
|
|
|
628 |
\end{frame}}
|
|
|
629 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
59
|
630 |
\end{document}
|
|
|
631 |
|
|
|
632 |
%%% Local Variables:
|
|
|
633 |
%%% mode: latex
|
|
|
634 |
%%% TeX-master: t
|
|
|
635 |
%%% End:
|
|
|
636 |
|