
diff -r be35ff24cccc -r d1d07f05325a slides07.tex
--- a/slides07.tex	Sun Dec 09 13:00:33 2012 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,976 +0,0 @@
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}<1>[t]
-\frametitle{%
-  \begin{tabular}{@ {}c@ {}}
-  \\
-  \LARGE Access Control and \\[-3mm] 
-  \LARGE Privacy Policies (7)\\[-6mm] 
-  \end{tabular}}\bigskip\bigskip\bigskip
-
-  %\begin{center}
-  %\includegraphics[scale=1.3]{pics/barrier.jpg}
-  %\end{center}
-
-\normalsize
-  \begin{center}
-  \begin{tabular}{ll}
-  Email:  & christian.urban at kcl.ac.uk\\
-  Of$\!$fice: & S1.27 (1st floor Strand Building)\\
-  Slides: & KEATS (also homework is there)\\
-  \end{tabular}
-  \end{center}
-
-
-\end{frame}}
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{Judgements}
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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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-\pause\pause
-\footnotesize Gimel (Phoenician), Gamma (Greek), C and G (Latin), Gim (Arabic),\\[-2mm] ?? (Indian), Ge (Cyrillic) 
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-\begin{frame}[c]
-\frametitle{Inference Rules}
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-\begin{center}
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-  
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-\begin{textblock}{11}(1,13)
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-\bl{$\underbrace{P \,\text{says}\, F}_{\Gamma} \vdash \underbrace{Q\,\text{says}\, F}_{F_1} \,\wedge
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-\begin{center}
-\Large
-\bl{\infer{\Gamma \vdash F_2}{\Gamma \vdash F_1\Rightarrow F_2 & \Gamma \vdash F_1}}\bigskip\bigskip\bigskip
-
-\bl{\infer{\Gamma\vdash P\,\text{says}\, F}{\Gamma \vdash F}}
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-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-\begin{frame}[t]
-
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-
-\begin{center}
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-
-There is an inference rule
-
-\begin{center}
-\bl{\infer{\Gamma \vdash P \,\text{says}\, F}{\Gamma \vdash F}}
-\end{center}\pause
-
-So we can derive \bl{$\Gamma \vdash \text{Alice} \,\text{says}\,\text{del\_file}$}.\bigskip\pause
-
-\bl{$\Gamma$} contains already \bl{$\text{Alice} \,\text{says}\,\text{del\_file}$}. \\
-So we can use the rule
-
-\begin{center}
-\bl{\infer{\Gamma, F \vdash F}{}}
-\end{center}
-
-\onslide<5>{\bf\alert{What is wrong with this?}}
-\hfill{\bf Done. Qed.}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{Digression: Proofs in CS}
-
-Formal proofs in CS sound like science fiction? Completely irrelevant!
-Lecturers gone mad!\pause
-
-\begin{itemize}
-\item in 2008, verification of a small C-compiler
-\begin{itemize}
-\item ``if my input program has a certain behaviour, then the compiled machine code has the same behaviour''
-\item is as good as \texttt{gcc -O1}, but less buggy 
-\end{itemize}
-\medskip 
-\item in 2010, verification of a micro-kernel operating system (approximately 8700 loc)
-\begin{itemize}
-\item 200k loc of proof
-\item 25 - 30 person years
-\item found 160 bugs in the C code (144 by the proof)
-\end{itemize}
-\end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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-  \frametitle{}
-
-  \begin{tabular}{c@ {\hspace{2mm}}c}
-  \\[6mm]
-  \begin{tabular}{c}
-  \includegraphics[scale=0.11]{harper.jpg}\\[-2mm]
-  {\footnotesize Bob Harper}\\[-2.5mm]
-  {\footnotesize (CMU)}
-  \end{tabular}
-  \begin{tabular}{c}
-  \includegraphics[scale=0.37]{pfenning.jpg}\\[-2mm]
-  {\footnotesize Frank Pfenning}\\[-2.5mm]
-  {\footnotesize (CMU)}
-  \end{tabular} &
-
-  \begin{tabular}{p{6cm}}
-  \raggedright
-  \color{gray}{published a proof about a specification in a journal (2005),
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-  \end{tabular}\\
-
-  \pause
-  \\[0mm]
-  
-  \begin{tabular}{c}
-  \includegraphics[scale=0.36]{appel.jpg}\\[-2mm] 
-  {\footnotesize Andrew Appel}\\[-2.5mm]
-  {\footnotesize (Princeton)}
-  \end{tabular} &
-
-  \begin{tabular}{p{6cm}}
-  \raggedright
-  \color{gray}{relied on their proof in a\\ {\bf security} critical application}
-  \end{tabular}
-  \end{tabular}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}
-  \frametitle{Proof-Carrying Code}
-
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-  \begin{tikzpicture}
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-  \end{textblock}
-
-  %\begin{textblock}{15}(2,12)
-  %\small
-  %\begin{itemize}
-  %\item<4-> Appel's checker is $\sim$2700 lines of code (1865 loc of\\ LF definitions; 
-  %803 loc in C including 2 library functions)\\[-3mm]
-  %\item<5-> 167 loc in C implement a type-checker
-  %\end{itemize}
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-
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-
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-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-     
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Mars Pathfinder Mission 1997}
-
-  \begin{center}
-  \includegraphics[scale=0.15]{marspath1.png}
-  \includegraphics[scale=0.16]{marspath3.png}
-  \includegraphics[scale=0.3]{marsrover.png}
-  \end{center}
-  
-  \begin{itemize}
-  \item despite NASA's famous testing procedure, the lander crashed frequently on Mars
-  \item problem was an algorithm not used in the OS
-  \end{itemize}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Priority Inheritance Protocol}
-
-  \begin{itemize}
-  \item \ldots a scheduling algorithm that is widely used in real-time operating systems
-  \item has been ``proved'' correct by hand in a paper in 1983
-  \item \ldots but the first algorithm turned out to be incorrect, despite its ``proof''\bigskip\pause
-  
-  \item we specified the algorithm and then proved that the specification makes
-  ``sense''	
- \item we implemented our specification in C on top of PINTOS (used for teaching at Stanford)
- \item our implementation was much more efficient than their reference implementation
-  \end{itemize}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
-  
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{Regular Expression Matching}
-\tiny
-
-\begin{tabular}{@ {\hspace{-6mm}}cc}
-\begin{tikzpicture}[y=.1cm, x=.15cm]
- 	%axis
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-
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-		file {re-python.data};
-	\only<1->{
-	\draw[color=red] plot[mark=triangle*, mark options={fill=white} ] 
-		file {re1.data};}
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-	\draw[color=blue] (0,0) -- 
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-		node[right]{\footnotesize Python};
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-		plot[mark=triangle*, mark options={fill=white}] (0.25,0) -- (0.5,0)
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-
-\begin{tikzpicture}[y=.35cm, x=.00045cm]
- 	%axis
-	\draw (0,0) -- coordinate (x axis mid) (10000,0);
-    	\draw (0,0) -- coordinate (y axis mid) (0,6);
-    	%ticks
-    	\foreach \x in {0,2000,...,10000}
-     		\draw (\x,1pt) -- (\x,-3pt)
-			node[anchor=north] {\x};
-    	\foreach \y in {0,1,...,6}
-     		\draw (1pt,\y) -- (-3pt,\y) 
-     			node[anchor=east] {\y}; 
-	%labels      
-	\node[below=0.3cm] at (x axis mid) {\bl{a}s};
-	\node[rotate=90, left=0.6cm] at (y axis mid) {secs};
-
-	%plots
-	\draw[color=blue] plot[mark=*, mark options={fill=white}] 
-		file {re-internal.data};
-	\only<1->{	 
-         \draw[color=red] plot[mark=triangle*, mark options={fill=white} ] 
-		file {re3.data};}
-    
-	%legend
-	\begin{scope}[shift={(2000,4)}] 
-	\draw[color=blue] (0,0) -- 
-		plot[mark=*, mark options={fill=white}] (0.25,0) -- (0.5,0) 
-		node[right]{\footnotesize Scala Internal};
-        \only<1->{
-	\draw[yshift=6mm, color=red] (0,0) -- 
-		plot[mark=triangle*, mark options={fill=white}] (0.25,0) -- (0.5,0)
-		node[right]{\footnotesize Scala V3};}
-	\end{scope}
-\end{tikzpicture}
-\end{tabular}\bigskip\pause
-\normalsize
-\begin{itemize}
-\item I needed a proof in order to make sure my program is correct
-\end{itemize}\pause
-
-\begin{center}
-\bl{End Digression.\\ (Our small proof is 0.0005\% of the OS-proof.)}
-\end{center}
-
-\end{frame}}
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{One More Thing}
-
-\begin{itemize}
-\item I arrived at King's last year
-\item Maxime Crochemore told me about a string algorithm (suffix sorting) that appeared at a
-conference in 2007 (ICALP)
-\item ``horribly incomprehensible'', no implementation, but claims to be the best \bl{$O(n + k)$} algorithm\bigskip\pause
-
-\item Jian Jiang found 1 error and 1 superfluous step in this algorithm
-\item he received 88\% for the project and won the prize for the best 7CCSMPRJ project  in the department
-\item no proof \ldots{} yet
-\end{itemize}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\mode<presentation>{
-\begin{frame}[c]
-\frametitle{Trusted Third Party}
-
-Simple protocol for establishing a secure connection via a mutually
-trusted 3rd party (server):
-
-\begin{center}
-\begin{tabular}{@ {\hspace{-7mm}}l@{\hspace{2mm}}r@ {\hspace{1mm}}l}
-Message 1 & \bl{$A \rightarrow S :$} & \bl{$A, B$}\\
-Message 2 & \bl{$S \rightarrow A :$} & \bl{$\{K_{AB}\}_{K_{AS}}$} and \bl{$\{\{K_{AB}\}_{K_{BS}} \}_{K_{AS}}$}\\
-Message 3 & \bl{$A \rightarrow B :$} & \bl{$\{K_{AB}\}_{K_{BS}} $}\\
-Message 4 & \bl{$A \rightarrow B :$} & \bl{$\{m\}_{K_{AB}}$}\\
-\end{tabular}
-\end{center}
-
-\end{frame}}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Encrypted Messages}
-
-  \begin{itemize}
-  \item Alice sends a message \bl{$m$}
-  \begin{center}
-  \bl{Alice says $m$}
-  \end{center}\medskip\pause
-
-  \item Alice sends an encrypted message \bl{$m$}\\ (with key \bl{$K$})
-  \begin{center}
-  \bl{Alice says $\{m\}_K$}
-  \end{center}\medskip\pause
-
-  \item Decryption of Alice's message\smallskip
-  \begin{center}
-  \bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;m}
-              {\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
-  \end{center}
-  \end{itemize}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
-  
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Encryption}
-
-  \begin{itemize}
-  \item Encryption of a message\smallskip
-  \begin{center}
-  \bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K}
-              {\Gamma \vdash \text{Alice}\;\text{says}\;m & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
-  \end{center}
-  \end{itemize}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-  
-    
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Trusted Third Party}
-
-  \begin{itemize}
-  \item Alice calls Sam for a key to communicate with Bob
-  \item Sam responds with a key that Alice can read and a key Bob can read (pre-shared)
-  \item Alice sends the message encrypted with the key and the second key it recieved
-  \end{itemize}\bigskip
-
-  \begin{center}
-  \bl{\begin{tabular}{lcl}
-  $A$ sends $S$ &:& $\textit{Connect}(A,B)$\\
-  $S$ sends $A$ &:& $\{K_{AB}\}_{K_{AS}}$ \textcolor{black}{and} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
-  $A$ sends $B$ &:& $\{K_{AB}\}_{K_{BS}}$\\
-  $A$ sends $B$ &:& $\{m\}_{K_{AB}}$
-  \end{tabular}}
-  \end{center}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      
-  
-   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Sending Rule}
-
-
-  \bl{\begin{center}
-  \mbox{\infer{\Gamma \vdash Q \;\textit{says}\; F}
-              {\Gamma \vdash P \;\textit{says}\; F & \Gamma \vdash P \;\textit{sends}\; Q : F}}
-  \end{center}}\bigskip\pause
-  
-  \bl{$P \,\text{sends}\, Q : F \dn$}\\
-  \hspace{6mm}\bl{$(P \,\text{says}\, F) \Rightarrow (Q \,\text{says}\, F)$}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
-  
-    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Trusted Third Party}
-
-  \begin{center}
-  \bl{\begin{tabular}{l}
-  $A$ sends $S$ : $\textit{Connect}(A,B)$\\  
-  \bl{$S \,\text{says}\, (\textit{Connect}(A,B) \Rightarrow$}\\ 
-  \hspace{2.5cm}\bl{$\{K_{AB}\}_{K_{AS}} \wedge 
-  \{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}})$}\\
- $S$ sends $A$ : $\{K_{AB}\}_{K_{AS}}$ \bl{$\wedge$} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
-  $A$ sends $B$ : $\{K_{AB}\}_{K_{BS}}$\\
-  $A$ sends $B$ : $\{m\}_{K_{AB}}$
-  \end{tabular}}
-  \end{center}\bigskip\pause
-  
-  
-  \bl{$\Gamma \vdash B \,\text{says} \, m$}?
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-  
-   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Challenge-Response Protocol}
-
- \begin{itemize}
- \item an engine \bl{$E$} and a transponder \bl{$T$} share a key \bl{$K$}\bigskip
- \item \bl{$E$} sends out a \alert{nonce} \bl{$N$} (random number) to \bl{$T$}\bigskip
- \item \bl{$T$} responds with \bl{$\{N\}_K$}\bigskip
- \item if \bl{$E$} receives  \bl{$\{N\}_K$} from \bl{$T$}, it starts engine
- \end{itemize}	
-  
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  
-    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Challenge-Response Protocol}
-
-  \begin{center}
-  \bl{\begin{tabular}{l}
-  $E \;\text{says}\; N$\hfill(start)\\
-  $E \;\text{sends}\; T : N$\hfill(challenge)\\
-  $(T \;\text{says}\; N) \Rightarrow (T \;\text{sends}\; E : \{N\}_K \wedge$\\
-  \hspace{3.5cm} $T \;\text{sends}\; E : \text{Id}(T))$\;\;\;\hfill(response)\\
- $T \;\text{says}\; K$\hfill(key)\\
- $T \;\text{says}\; \text{Id}(T)$\hfill(identity)\\
-  $(E \;\text{says}\; \{N\}_K \wedge E \;\text{says}\; \text{Id}(T)) \Rightarrow$\\
-   \hspace{5cm}$ \text{start\_engine}(T)$\hfill(engine)\\
-  \end{tabular}}
-  \end{center}\bigskip 
-  
-  \bl{$\Gamma \vdash \text{start\_engine}(T)$}?
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-     
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Exchange of a Fresh Key}
-
-\bl{$A$} and \bl{$B$} share a (``super-secret'') key \bl{$K_{AB}$} and want to share another key
-
- \begin{itemize}
- \item assumption \bl{$K_{AB}$} is only known to \bl{$A$} and \bl{$B$}\bigskip 
- \item \bl{$A \,\text{sends}\, B :  A, \{N_A\}_{K_{AB}}$} 
- \item \bl{$B\,\text{sends}\, A : \{N_A + 1, N_B\}_{K_{AB}}$}
- \item \bl{$A \,\text{sends}\, B : \{N_B + 1\}_{K_{AB}}$}
-  \item \bl{$B \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}
-  \item<2> \bl{$A \,\text{sends}\, B : \{msg\}_{K^{new}_{AB}}$}
- \end{itemize}\bigskip
-  
-  Assume \bl{$K^{new}_{AB}$} is compromised by \bl{$I$}
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    
-     
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{The Attack}
-
-An intruder \bl{$I$} convinces \bl{$A$} to accept the compromised key \bl{$K^{new}_{AB}$}\medskip 
-
-\begin{minipage}{1.1\textwidth}
-\begin{itemize}
- \item \bl{$A \,\text{sends}\, B :  A, \{N_A\}_{K_{AB}}$} 
- \item \bl{$B\,\text{sends}\, A : \{N_A + 1, N_B\}_{K_{AB}}$}
- \item \bl{$A \,\text{sends}\, B : \{N_B + 1\}_{K_{AB}}$}
-  \item \bl{$B \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}\;\;recorded by \bl{$I$}\pause
-  \item \bl{$A \,\text{sends}\, B :  A, \{M_A\}_{K_{AB}}$} 
- \item \bl{$B\,\text{sends}\, A : \{M_A + 1, M_B\}_{K_{AB}}$}
- \item \bl{$A \,\text{sends}\, B : \{M_B + 1\}_{K_{AB}}$}
-  \item \bl{$B \,\text{sends}\, I : \{K^{newer}_{AB}, N^{newer}_B\}_{K_{AB}}$}\;intercepted by \bl{$I$}
-  \item \bl{$I \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}\pause
-   \item \bl{$A \,\text{sends}\, B : \{msg\}_{K^{new}_{AB}}$}\;\;\;\;\bl{$I$} can read it also
- \end{itemize}	
- \end{minipage}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
-     
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Another Challenge-Response}
-
-\bl{$A$} and \bl{$B$} share the key \bl{$K_{AB}$} and want to identify
-each other\bigskip
-
- \begin{itemize}
- \item \bl{$A \,\text{sends}\, B :  A, N_A$} 
- \item \bl{$B\,\text{sends}\, A : \{N_A, K'_{AB}\}_{K_{AB}}$}
- \item \bl{$A \,\text{sends}\, B : \{N_A\}_{K'_{AB}}$}
- \end{itemize}
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    
-     
-   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Another Challenge-Response}
-
-\bl{$A$} and \bl{$B$} share the key \bl{$K_{AB}$} and want to identify
-each other\bigskip
-
- \begin{itemize}
- \item \bl{$A \,\text{sends}\, B :  A, N_A$} 
- \item \bl{$B\,\text{sends}\, A : \{N_A, K'_{AB}\}_{K_{AB}}$}
- \item \bl{$A \,\text{sends}\, B : \{N_A\}_{K'_{AB}}$}
- \end{itemize}
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      
-     
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-  \mode<presentation>{
-  \begin{frame}[c]
-  \frametitle{Another Challenge-Response}
-
-Unfortunately, an intruder \bl{$I$} can impersonate \bl{$B$}.
-
-\begin{center}
-\begin{tabular}{@{\hspace{-7mm}}c@{\hspace{1mm}}c@{}}
-\begin{tabular}{@{}l@{}}
-\onslide<1->{\bl{$A \,\text{sends}\, I :  A, N_A$}}\\ 
-\onslide<4->{\bl{$I \,\text{sends}\, A :  \{N_A,\!K'_{\!AB}\}_{K_{\!AB}}$}}\\ 
-\onslide<5->{\bl{$A \,\text{sends}\, I : \{N_A\}_{K'_{AB}}$}}\\
-\end{tabular}
-&
-\begin{tabular}{@{}l@{}}
-\onslide<2->{\bl{$I \,\text{sends}\, A :  B, N_A$}}\\ 
-\onslide<3->{\bl{$A \,\text{sends}\, I :  \{N_A,\!K'_{\!AB}\}_{K_{\!AB}}$}}\\ 
-\onslide<6->{\bl{$I \,\text{sends}\, A : \{N_A\}_{K'_{AB}}$}}\\
-\end{tabular}
-\end{tabular}
-\end{center}
-
-  \end{frame}}
-  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%          
-     
-     
-\end{document}
-
-%%% Local Variables:  
-%%% mode: latex
-%%% TeX-master: t
-%%% End: 
-




