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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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\usetikzlibrary{plotmarks}
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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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\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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% The data files, written on the first run.
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\begin{filecontents}{re-python.data}
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1 0.029
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5 0.029
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10 0.029
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15 0.032
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16 0.042
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17 0.042
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18 0.055
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19 0.084
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20 0.136
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21 0.248
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22 0.464
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23 0.899
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24 1.773
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25 3.505
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26 6.993
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27 14.503
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28 29.307
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#29 58.886
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\end{filecontents}
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\begin{filecontents}{re1.data}
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1 0.00179
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2 0.00011
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3 0.00014
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4 0.00026
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5 0.00050
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6 0.00095
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7 0.00190
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8 0.00287
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9 0.00779
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10 0.01399
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11 0.01894
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12 0.03666
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13 0.07994
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14 0.08944
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15 0.02377
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16 0.07392
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17 0.22798
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18 0.65310
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19 2.11360
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20 6.31606
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21 21.46013
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\end{filecontents}
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\begin{filecontents}{re2.data}
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1 0.00240
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2 0.00013
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3 0.00020
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4 0.00030
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5 0.00049
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6 0.00083
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7 0.00146
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8 0.00228
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9 0.00351
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10 0.00640
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11 0.01217
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12 0.02565
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13 0.01382
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14 0.02423
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15 0.05065
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16 0.06522
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17 0.02140
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18 0.05176
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19 0.18254
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20 0.51898
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21 1.39631
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22 2.69501
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23 8.07952
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\end{filecontents}
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\begin{filecontents}{re-internal.data}
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1 0.00069
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301 0.00700
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601 0.00297
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901 0.00470
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1201 0.01301
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1501 0.01175
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1801 0.01761
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2101 0.01787
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2401 0.02717
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2701 0.03932
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3001 0.03470
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3301 0.04349
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3601 0.05411
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3901 0.06181
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4201 0.07119
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4501 0.08578
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\end{filecontents}
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\begin{filecontents}{re3.data}
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1 0.001605
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501 0.131066
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1001 0.057885
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1501 0.136875
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2001 0.176238
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2501 0.254363
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3001 0.37262
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3501 0.500946
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4001 0.638384
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4501 0.816605
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5001 1.00491
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5501 1.232505
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6001 1.525672
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6501 1.757502
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7001 2.092784
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7501 2.429224
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8001 2.803037
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8501 3.463045
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9001 3.609
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9501 4.081504
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10001 4.54569
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\end{filecontents}
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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} $}
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\end{textblock}}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[c]
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\begin{center}
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\Large
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\bl{\infer{\Gamma \vdash F_2}{\Gamma \vdash F_1\Rightarrow F_2 & \Gamma \vdash F_1}}\bigskip\bigskip\bigskip
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\bl{\infer{\Gamma\vdash P\,\text{says}\, F}{\Gamma \vdash F}}
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\end{center}
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\end{frame}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\mode<presentation>{
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\begin{frame}[t]
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We want to prove
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\begin{center}
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\bl{$\Gamma \vdash \text{del\_file}$}
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\end{center}\pause
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There is an inference rule
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\begin{center}
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\bl{\infer{\Gamma \vdash P \,\text{says}\, F}{\Gamma \vdash F}}
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\end{center}\pause
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So we can derive \bl{$\Gamma \vdash \text{Alice} \,\text{says}\,\text{del\_file}$}.\bigskip\pause
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\bl{$\Gamma$} contains already \bl{$\text{Alice} \,\text{says}\,\text{del\_file}$}. \\
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So we can use the rule
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\begin{center}
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\bl{\infer{\Gamma, F \vdash F}{}}
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\end{center}
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360 |
\onslide<5>{\bf\alert{What is wrong with this?}}
|
|
|
361 |
\hfill{\bf Done. Qed.}
|
|
|
362 |
|
|
|
363 |
\end{frame}}
|
|
|
364 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
365 |
|
|
|
366 |
|
|
66
|
367 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
368 |
\mode<presentation>{
|
|
|
369 |
\begin{frame}[c]
|
|
|
370 |
\frametitle{Digression: Proofs in CS}
|
|
|
371 |
|
|
70
|
372 |
Formal proofs in CS sound like science fiction? Completely irrelevant!
|
|
|
373 |
Lecturers gone mad!\pause
|
|
66
|
374 |
|
|
|
375 |
\begin{itemize}
|
|
70
|
376 |
\item in 2008, verification of a small C-compiler
|
|
|
377 |
\begin{itemize}
|
|
|
378 |
\item ``if my input program has a certain behaviour, then the compiled machine code has the same behaviour''
|
|
|
379 |
\item is as good as \texttt{gcc -O1}, but less buggy
|
|
|
380 |
\end{itemize}
|
|
|
381 |
\medskip
|
|
66
|
382 |
\item in 2010, verification of a micro-kernel operating system (approximately 8700 loc)
|
|
|
383 |
\begin{itemize}
|
|
|
384 |
\item 200k loc of proof
|
|
|
385 |
\item 25 - 30 person years
|
|
|
386 |
\item found 160 bugs in the C code (144 by the proof)
|
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|
387 |
\end{itemize}
|
|
|
388 |
\end{itemize}
|
|
|
389 |
|
|
65
|
390 |
\end{frame}}
|
|
|
391 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
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|
392 |
|
|
66
|
393 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
394 |
\mode<presentation>{
|
|
|
395 |
\begin{frame}[c]
|
|
|
396 |
\frametitle{}
|
|
|
397 |
|
|
|
398 |
\begin{tabular}{c@ {\hspace{2mm}}c}
|
|
|
399 |
\\[6mm]
|
|
|
400 |
\begin{tabular}{c}
|
|
|
401 |
\includegraphics[scale=0.11]{harper.jpg}\\[-2mm]
|
|
|
402 |
{\footnotesize Bob Harper}\\[-2.5mm]
|
|
|
403 |
{\footnotesize (CMU)}
|
|
|
404 |
\end{tabular}
|
|
|
405 |
\begin{tabular}{c}
|
|
|
406 |
\includegraphics[scale=0.37]{pfenning.jpg}\\[-2mm]
|
|
|
407 |
{\footnotesize Frank Pfenning}\\[-2.5mm]
|
|
|
408 |
{\footnotesize (CMU)}
|
|
|
409 |
\end{tabular} &
|
|
|
410 |
|
|
|
411 |
\begin{tabular}{p{6cm}}
|
|
|
412 |
\raggedright
|
|
|
413 |
\color{gray}{published a proof about a specification in a journal (2005),
|
|
|
414 |
$\sim$31pages}
|
|
|
415 |
\end{tabular}\\
|
|
|
416 |
|
|
|
417 |
\pause
|
|
|
418 |
\\[0mm]
|
|
|
419 |
|
|
|
420 |
\begin{tabular}{c}
|
|
|
421 |
\includegraphics[scale=0.36]{appel.jpg}\\[-2mm]
|
|
|
422 |
{\footnotesize Andrew Appel}\\[-2.5mm]
|
|
|
423 |
{\footnotesize (Princeton)}
|
|
|
424 |
\end{tabular} &
|
|
|
425 |
|
|
|
426 |
\begin{tabular}{p{6cm}}
|
|
|
427 |
\raggedright
|
|
|
428 |
\color{gray}{relied on their proof in a\\ {\bf security} critical application}
|
|
|
429 |
\end{tabular}
|
|
|
430 |
\end{tabular}
|
|
|
431 |
|
|
|
432 |
\end{frame}}
|
|
|
433 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
434 |
|
|
|
435 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
436 |
\mode<presentation>{
|
|
|
437 |
\begin{frame}
|
|
|
438 |
\frametitle{Proof-Carrying Code}
|
|
|
439 |
|
|
|
440 |
\begin{textblock}{10}(2.5,2.2)
|
|
|
441 |
\begin{block}{Idea:}
|
|
|
442 |
\begin{center}
|
|
|
443 |
\begin{tikzpicture}
|
|
|
444 |
\draw[help lines,cream] (0,0.2) grid (8,4);
|
|
|
445 |
|
|
|
446 |
\draw[line width=1mm, red] (5.5,0.6) rectangle (7.5,4);
|
|
|
447 |
\node[anchor=base] at (6.5,2.8)
|
|
|
448 |
{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\centering user: untrusted code\end{tabular}};
|
|
|
449 |
|
|
|
450 |
\draw[line width=1mm, red] (0.5,0.6) rectangle (2.5,4);
|
|
|
451 |
\node[anchor=base] at (1.5,2.3)
|
|
|
452 |
{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\centering developer ---\\ web server\end{tabular}};
|
|
|
453 |
|
|
|
454 |
\onslide<3->{
|
|
|
455 |
\draw[line width=1mm, red, fill=red] (5.5,0.6) rectangle (7.5,1.8);
|
|
|
456 |
\node[anchor=base,white] at (6.5,1.1)
|
|
|
457 |
{\small\begin{tabular}{@ {}p{1.9cm}@ {}}\bf\centering proof- checker\end{tabular}};}
|
|
|
458 |
|
|
|
459 |
\node at (3.8,3.0) [single arrow, fill=red,text=white, minimum height=3cm]{\bf code};
|
|
|
460 |
\onslide<2->{
|
|
|
461 |
\node at (3.8,1.3) [single arrow, fill=red,text=white, minimum height=3cm]{\bf certificate};
|
|
|
462 |
\node at (3.8,1.9) {\small\color{gray}{\mbox{}\hspace{-1mm}a proof}};
|
|
|
463 |
}
|
|
|
464 |
|
|
|
465 |
|
|
|
466 |
\end{tikzpicture}
|
|
|
467 |
\end{center}
|
|
|
468 |
\end{block}
|
|
|
469 |
\end{textblock}
|
|
|
470 |
|
|
|
471 |
%\begin{textblock}{15}(2,12)
|
|
|
472 |
%\small
|
|
|
473 |
%\begin{itemize}
|
|
|
474 |
%\item<4-> Appel's checker is $\sim$2700 lines of code (1865 loc of\\ LF definitions;
|
|
|
475 |
%803 loc in C including 2 library functions)\\[-3mm]
|
|
|
476 |
%\item<5-> 167 loc in C implement a type-checker
|
|
|
477 |
%\end{itemize}
|
|
|
478 |
%\end{textblock}
|
|
|
479 |
|
|
|
480 |
\end{frame}}
|
|
|
481 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
482 |
|
|
|
483 |
\tikzstyle{every node}=[node distance=25mm,text height=1.5ex, text depth=.25ex]
|
|
|
484 |
\tikzstyle{node1}=[rectangle, minimum size=10mm, rounded corners=3mm, very thick,
|
|
|
485 |
draw=black!50, top color=white, bottom color=black!20]
|
|
|
486 |
\tikzstyle{node2}=[rectangle, minimum size=12mm, rounded corners=3mm, very thick,
|
|
|
487 |
draw=red!70, top color=white, bottom color=red!50!black!20]
|
|
|
488 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
489 |
\mode<presentation>{
|
|
|
490 |
\begin{frame}<2->[squeeze]
|
|
|
491 |
\frametitle{}
|
|
|
492 |
|
|
|
493 |
\begin{columns}
|
|
|
494 |
|
|
|
495 |
\begin{column}{0.8\textwidth}
|
|
|
496 |
\begin{textblock}{0}(1,2)
|
|
|
497 |
|
|
|
498 |
\begin{tikzpicture}
|
|
|
499 |
\matrix[ampersand replacement=\&,column sep=7mm, row sep=5mm]
|
|
|
500 |
{ \&[-10mm]
|
|
|
501 |
\node (def1) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}}; \&
|
|
|
502 |
\node (proof1) [node1] {\large Proof}; \&
|
|
|
503 |
\node (alg1) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}}; \\
|
|
|
504 |
|
|
|
505 |
\onslide<4->{\node {\begin{tabular}{c}\small 1st\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
|
|
|
506 |
\onslide<4->{\node (def2) [node2] {\large Spec$^\text{+ex}$};} \&
|
|
|
507 |
\onslide<4->{\node (proof2) [node1] {\large Proof};} \&
|
|
|
508 |
\onslide<4->{\node (alg2) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}};} \\
|
|
|
509 |
|
|
|
510 |
\onslide<5->{\node {\begin{tabular}{c}\small 2nd\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
|
|
|
511 |
\onslide<5->{\node (def3) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}};} \&
|
|
|
512 |
\onslide<5->{\node (proof3) [node1] {\large Proof};} \&
|
|
|
513 |
\onslide<5->{\node (alg3) [node2] {\large Alg$^\text{-ex}$};} \\
|
|
|
514 |
|
|
|
515 |
\onslide<6->{\node {\begin{tabular}{c}\small 3rd\\[-2.5mm] \footnotesize solution\end{tabular}};} \&
|
|
|
516 |
\onslide<6->{\node (def4) [node1] {\large\hspace{1mm}Spec\hspace{1mm}\mbox{}};} \&
|
|
|
517 |
\onslide<6->{\node (proof4) [node2] {\large\hspace{1mm}Proof\hspace{1mm}};} \&
|
|
|
518 |
\onslide<6->{\node (alg4) [node1] {\large\hspace{1mm}Alg\hspace{1mm}\mbox{}};} \\
|
|
|
519 |
};
|
|
|
520 |
|
|
|
521 |
\draw[->,black!50,line width=2mm] (proof1) -- (def1);
|
|
|
522 |
\draw[->,black!50,line width=2mm] (proof1) -- (alg1);
|
|
|
523 |
|
|
|
524 |
\onslide<4->{\draw[->,black!50,line width=2mm] (proof2) -- (def2);}
|
|
|
525 |
\onslide<4->{\draw[->,black!50,line width=2mm] (proof2) -- (alg2);}
|
|
|
526 |
|
|
|
527 |
\onslide<5->{\draw[->,black!50,line width=2mm] (proof3) -- (def3);}
|
|
|
528 |
\onslide<5->{\draw[->,black!50,line width=2mm] (proof3) -- (alg3);}
|
|
|
529 |
|
|
|
530 |
\onslide<6->{\draw[->,black!50,line width=2mm] (proof4) -- (def4);}
|
|
|
531 |
\onslide<6->{\draw[->,black!50,line width=2mm] (proof4) -- (alg4);}
|
|
|
532 |
|
|
|
533 |
\onslide<3->{\draw[white,line width=1mm] (1.1,3.2) -- (0.9,2.85) -- (1.1,2.35) -- (0.9,2.0);}
|
|
|
534 |
\end{tikzpicture}
|
|
|
535 |
|
|
|
536 |
\end{textblock}
|
|
|
537 |
\end{column}
|
|
|
538 |
\end{columns}
|
|
|
539 |
|
|
|
540 |
|
|
|
541 |
\begin{textblock}{3}(12,3.6)
|
|
|
542 |
\onslide<4->{
|
|
|
543 |
\begin{tikzpicture}
|
|
|
544 |
\node at (0,0) [single arrow, shape border rotate=270, fill=red,text=white]{2h};
|
|
|
545 |
\end{tikzpicture}}
|
|
|
546 |
\end{textblock}
|
|
|
547 |
|
|
|
548 |
\end{frame}}
|
|
|
549 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
550 |
|
|
|
551 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
552 |
\mode<presentation>{
|
|
|
553 |
\begin{frame}[c]
|
|
|
554 |
\frametitle{Mars Pathfinder Mission 1997}
|
|
|
555 |
|
|
|
556 |
\begin{center}
|
|
|
557 |
\includegraphics[scale=0.15]{marspath1.png}
|
|
|
558 |
\includegraphics[scale=0.16]{marspath3.png}
|
|
|
559 |
\includegraphics[scale=0.3]{marsrover.png}
|
|
|
560 |
\end{center}
|
|
|
561 |
|
|
|
562 |
\begin{itemize}
|
|
|
563 |
\item despite NASA's famous testing procedure, the lander crashed frequently on Mars
|
|
|
564 |
\item problem was an algorithm not used in the OS
|
|
|
565 |
\end{itemize}
|
|
|
566 |
|
|
|
567 |
\end{frame}}
|
|
|
568 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
569 |
|
|
65
|
570 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
67
|
571 |
\mode<presentation>{
|
|
|
572 |
\begin{frame}[c]
|
|
|
573 |
\frametitle{Priority Inheritance Protocol}
|
|
|
574 |
|
|
|
575 |
\begin{itemize}
|
|
70
|
576 |
\item \ldots a scheduling algorithm that is widely used in real-time operating systems
|
|
|
577 |
\item has been ``proved'' correct by hand in a paper in 1983
|
|
|
578 |
\item \ldots but the first algorithm turned out to be incorrect, despite its ``proof''\bigskip\pause
|
|
67
|
579 |
|
|
|
580 |
\item we specified the algorithm and then proved that the specification makes
|
|
|
581 |
``sense''
|
|
70
|
582 |
\item we implemented our specification in C on top of PINTOS (used for teaching at Stanford)
|
|
67
|
583 |
\item our implementation was much more efficient than their reference implementation
|
|
|
584 |
\end{itemize}
|
|
|
585 |
|
|
|
586 |
\end{frame}}
|
|
|
587 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
588 |
|
|
|
589 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
590 |
\mode<presentation>{
|
|
|
591 |
\begin{frame}[c]
|
|
|
592 |
\frametitle{Regular Expression Matching}
|
|
|
593 |
\tiny
|
|
|
594 |
|
|
|
595 |
\begin{tabular}{@ {\hspace{-6mm}}cc}
|
|
|
596 |
\begin{tikzpicture}[y=.1cm, x=.15cm]
|
|
|
597 |
%axis
|
|
|
598 |
\draw (0,0) -- coordinate (x axis mid) (30,0);
|
|
|
599 |
\draw (0,0) -- coordinate (y axis mid) (0,30);
|
|
|
600 |
%ticks
|
|
|
601 |
\foreach \x in {0,5,...,30}
|
|
|
602 |
\draw (\x,1pt) -- (\x,-3pt)
|
|
|
603 |
node[anchor=north] {\x};
|
|
|
604 |
\foreach \y in {0,5,...,30}
|
|
|
605 |
\draw (1pt,\y) -- (-3pt,\y)
|
|
|
606 |
node[anchor=east] {\y};
|
|
|
607 |
%labels
|
|
|
608 |
\node[below=0.3cm] at (x axis mid) {\bl{a}s};
|
|
|
609 |
\node[rotate=90, left=0.6cm] at (y axis mid) {secs};
|
|
|
610 |
|
|
|
611 |
%plots
|
|
|
612 |
\draw[color=blue] plot[mark=*, mark options={fill=white}]
|
|
|
613 |
file {re-python.data};
|
|
|
614 |
\only<1->{
|
|
|
615 |
\draw[color=red] plot[mark=triangle*, mark options={fill=white} ]
|
|
|
616 |
file {re1.data};}
|
|
|
617 |
\only<1->{
|
|
|
618 |
\draw[color=green] plot[mark=square*, mark options={fill=white} ]
|
|
|
619 |
file {re2.data};}
|
|
|
620 |
|
|
|
621 |
%legend
|
|
|
622 |
\begin{scope}[shift={(4,20)}]
|
|
|
623 |
\draw[color=blue] (0,0) --
|
|
|
624 |
plot[mark=*, mark options={fill=white}] (0.25,0) -- (0.5,0)
|
|
|
625 |
node[right]{\footnotesize Python};
|
|
|
626 |
\only<1->{\draw[yshift=6mm, color=red] (0,0) --
|
|
|
627 |
plot[mark=triangle*, mark options={fill=white}] (0.25,0) -- (0.5,0)
|
|
|
628 |
node[right]{\footnotesize Scala V1};}
|
|
|
629 |
\only<1->{
|
|
|
630 |
\draw[yshift=12mm, color=green] (0,0) --
|
|
|
631 |
plot[mark=square*, mark options={fill=white}] (0.25,0) -- (0.5,0)
|
|
|
632 |
node[right]{\footnotesize Scala V2 with simplifications};}
|
|
|
633 |
\end{scope}
|
|
|
634 |
\end{tikzpicture} &
|
|
|
635 |
|
|
|
636 |
\begin{tikzpicture}[y=.35cm, x=.00045cm]
|
|
|
637 |
%axis
|
|
|
638 |
\draw (0,0) -- coordinate (x axis mid) (10000,0);
|
|
|
639 |
\draw (0,0) -- coordinate (y axis mid) (0,6);
|
|
|
640 |
%ticks
|
|
|
641 |
\foreach \x in {0,2000,...,10000}
|
|
|
642 |
\draw (\x,1pt) -- (\x,-3pt)
|
|
|
643 |
node[anchor=north] {\x};
|
|
|
644 |
\foreach \y in {0,1,...,6}
|
|
|
645 |
\draw (1pt,\y) -- (-3pt,\y)
|
|
|
646 |
node[anchor=east] {\y};
|
|
|
647 |
%labels
|
|
|
648 |
\node[below=0.3cm] at (x axis mid) {\bl{a}s};
|
|
|
649 |
\node[rotate=90, left=0.6cm] at (y axis mid) {secs};
|
|
|
650 |
|
|
|
651 |
%plots
|
|
|
652 |
\draw[color=blue] plot[mark=*, mark options={fill=white}]
|
|
|
653 |
file {re-internal.data};
|
|
|
654 |
\only<1->{
|
|
|
655 |
\draw[color=red] plot[mark=triangle*, mark options={fill=white} ]
|
|
|
656 |
file {re3.data};}
|
|
|
657 |
|
|
|
658 |
%legend
|
|
|
659 |
\begin{scope}[shift={(2000,4)}]
|
|
|
660 |
\draw[color=blue] (0,0) --
|
|
|
661 |
plot[mark=*, mark options={fill=white}] (0.25,0) -- (0.5,0)
|
|
|
662 |
node[right]{\footnotesize Scala Internal};
|
|
|
663 |
\only<1->{
|
|
|
664 |
\draw[yshift=6mm, color=red] (0,0) --
|
|
|
665 |
plot[mark=triangle*, mark options={fill=white}] (0.25,0) -- (0.5,0)
|
|
|
666 |
node[right]{\footnotesize Scala V3};}
|
|
|
667 |
\end{scope}
|
|
|
668 |
\end{tikzpicture}
|
|
|
669 |
\end{tabular}\bigskip\pause
|
|
|
670 |
\normalsize
|
|
|
671 |
\begin{itemize}
|
|
|
672 |
\item I needed a proof in order to make sure my program is correct
|
|
|
673 |
\end{itemize}\pause
|
|
|
674 |
|
|
|
675 |
\begin{center}
|
|
|
676 |
\bl{End Digression.\\ (Our small proof is 0.0005\% of the OS-proof.)}
|
|
|
677 |
\end{center}
|
|
|
678 |
|
|
|
679 |
\end{frame}}
|
|
|
680 |
|
|
|
681 |
|
|
|
682 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
683 |
|
|
68
|
684 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
685 |
\mode<presentation>{
|
|
|
686 |
\begin{frame}[c]
|
|
|
687 |
\frametitle{One More Thing}
|
|
|
688 |
|
|
|
689 |
\begin{itemize}
|
|
|
690 |
\item I arrived at King's last year
|
|
|
691 |
\item Maxime Crochemore told me about a string algorithm (suffix sorting) that appeared at a
|
|
|
692 |
conference in 2007 (ICALP)
|
|
|
693 |
\item ``horribly incomprehensible'', no implementation, but claims to be the best \bl{$O(n + k)$} algorithm\bigskip\pause
|
|
|
694 |
|
|
70
|
695 |
\item Jian Jiang found 1 error and 1 superfluous step in this algorithm
|
|
|
696 |
\item he received 88\% for the project and won the prize for the best 7CCSMPRJ project in the department
|
|
68
|
697 |
\item no proof \ldots{} yet
|
|
|
698 |
\end{itemize}
|
|
|
699 |
|
|
|
700 |
\end{frame}}
|
|
|
701 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
702 |
|
|
67
|
703 |
|
|
|
704 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
65
|
705 |
\mode<presentation>{
|
|
|
706 |
\begin{frame}[c]
|
|
|
707 |
\frametitle{Trusted Third Party}
|
|
|
708 |
|
|
|
709 |
Simple protocol for establishing a secure connection via a mutually
|
|
|
710 |
trusted 3rd party (server):
|
|
|
711 |
|
|
|
712 |
\begin{center}
|
|
|
713 |
\begin{tabular}{@ {\hspace{-7mm}}l@{\hspace{2mm}}r@ {\hspace{1mm}}l}
|
|
|
714 |
Message 1 & \bl{$A \rightarrow S :$} & \bl{$A, B$}\\
|
|
|
715 |
Message 2 & \bl{$S \rightarrow A :$} & \bl{$\{K_{AB}\}_{K_{AS}}$} and \bl{$\{\{K_{AB}\}_{K_{BS}} \}_{K_{AS}}$}\\
|
|
|
716 |
Message 3 & \bl{$A \rightarrow B :$} & \bl{$\{K_{AB}\}_{K_{BS}} $}\\
|
|
|
717 |
Message 4 & \bl{$A \rightarrow B :$} & \bl{$\{m\}_{K_{AB}}$}\\
|
|
|
718 |
\end{tabular}
|
|
|
719 |
\end{center}
|
|
|
720 |
|
|
|
721 |
\end{frame}}
|
|
|
722 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
723 |
|
|
|
724 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
725 |
\mode<presentation>{
|
|
|
726 |
\begin{frame}[c]
|
|
|
727 |
\frametitle{Encrypted Messages}
|
|
|
728 |
|
|
|
729 |
\begin{itemize}
|
|
|
730 |
\item Alice sends a message \bl{$m$}
|
|
|
731 |
\begin{center}
|
|
|
732 |
\bl{Alice says $m$}
|
|
|
733 |
\end{center}\medskip\pause
|
|
|
734 |
|
|
|
735 |
\item Alice sends an encrypted message \bl{$m$}\\ (with key \bl{$K$})
|
|
|
736 |
\begin{center}
|
|
|
737 |
\bl{Alice says $\{m\}_K$}
|
|
|
738 |
\end{center}\medskip\pause
|
|
|
739 |
|
|
|
740 |
\item Decryption of Alice's message\smallskip
|
|
|
741 |
\begin{center}
|
|
|
742 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;m}
|
|
|
743 |
{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
|
|
|
744 |
\end{center}
|
|
|
745 |
\end{itemize}
|
|
|
746 |
|
|
|
747 |
\end{frame}}
|
|
|
748 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
749 |
|
|
|
750 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
751 |
\mode<presentation>{
|
|
|
752 |
\begin{frame}[c]
|
|
|
753 |
\frametitle{Encryption}
|
|
|
754 |
|
|
|
755 |
\begin{itemize}
|
|
|
756 |
\item Encryption of a message\smallskip
|
|
|
757 |
\begin{center}
|
|
|
758 |
\bl{\mbox{\infer{\Gamma \vdash \text{Alice}\;\text{says}\;\{m\}_K}
|
|
|
759 |
{\Gamma \vdash \text{Alice}\;\text{says}\;m & \Gamma \vdash \text{Alice}\,\text{says}\,K}}}
|
|
|
760 |
\end{center}
|
|
|
761 |
\end{itemize}
|
|
|
762 |
|
|
|
763 |
\end{frame}}
|
|
|
764 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
765 |
|
|
|
766 |
|
|
|
767 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
768 |
\mode<presentation>{
|
|
|
769 |
\begin{frame}[c]
|
|
|
770 |
\frametitle{Trusted Third Party}
|
|
|
771 |
|
|
|
772 |
\begin{itemize}
|
|
|
773 |
\item Alice calls Sam for a key to communicate with Bob
|
|
|
774 |
\item Sam responds with a key that Alice can read and a key Bob can read (pre-shared)
|
|
|
775 |
\item Alice sends the message encrypted with the key and the second key it recieved
|
|
|
776 |
\end{itemize}\bigskip
|
|
|
777 |
|
|
|
778 |
\begin{center}
|
|
|
779 |
\bl{\begin{tabular}{lcl}
|
|
|
780 |
$A$ sends $S$ &:& $\textit{Connect}(A,B)$\\
|
|
|
781 |
$S$ sends $A$ &:& $\{K_{AB}\}_{K_{AS}}$ \textcolor{black}{and} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
|
|
|
782 |
$A$ sends $B$ &:& $\{K_{AB}\}_{K_{BS}}$\\
|
|
|
783 |
$A$ sends $B$ &:& $\{m\}_{K_{AB}}$
|
|
|
784 |
\end{tabular}}
|
|
|
785 |
\end{center}
|
|
|
786 |
|
|
|
787 |
\end{frame}}
|
|
|
788 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
789 |
|
|
|
790 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
791 |
\mode<presentation>{
|
|
|
792 |
\begin{frame}[c]
|
|
|
793 |
\frametitle{Sending Rule}
|
|
|
794 |
|
|
70
|
795 |
|
|
65
|
796 |
\bl{\begin{center}
|
|
|
797 |
\mbox{\infer{\Gamma \vdash Q \;\textit{says}\; F}
|
|
|
798 |
{\Gamma \vdash P \;\textit{says}\; F & \Gamma \vdash P \;\textit{sends}\; Q : F}}
|
|
|
799 |
\end{center}}\bigskip\pause
|
|
|
800 |
|
|
|
801 |
\bl{$P \,\text{sends}\, Q : F \dn$}\\
|
|
|
802 |
\hspace{6mm}\bl{$(P \,\text{says}\, F) \Rightarrow (Q \,\text{says}\, F)$}
|
|
|
803 |
|
|
|
804 |
\end{frame}}
|
|
|
805 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
806 |
|
|
|
807 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
808 |
\mode<presentation>{
|
|
|
809 |
\begin{frame}[c]
|
|
|
810 |
\frametitle{Trusted Third Party}
|
|
|
811 |
|
|
|
812 |
\begin{center}
|
|
|
813 |
\bl{\begin{tabular}{l}
|
|
|
814 |
$A$ sends $S$ : $\textit{Connect}(A,B)$\\
|
|
|
815 |
\bl{$S \,\text{says}\, (\textit{Connect}(A,B) \Rightarrow$}\\
|
|
|
816 |
\hspace{2.5cm}\bl{$\{K_{AB}\}_{K_{AS}} \wedge
|
|
|
817 |
\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}})$}\\
|
|
|
818 |
$S$ sends $A$ : $\{K_{AB}\}_{K_{AS}}$ \bl{$\wedge$} $\{\{K_{AB}\}_{K_{BS}}\}_{K_{AS}}$\\
|
|
|
819 |
$A$ sends $B$ : $\{K_{AB}\}_{K_{BS}}$\\
|
|
|
820 |
$A$ sends $B$ : $\{m\}_{K_{AB}}$
|
|
|
821 |
\end{tabular}}
|
|
|
822 |
\end{center}\bigskip\pause
|
|
|
823 |
|
|
|
824 |
|
|
|
825 |
\bl{$\Gamma \vdash B \,\text{says} \, m$}?
|
|
|
826 |
\end{frame}}
|
|
|
827 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
828 |
|
|
|
829 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
830 |
\mode<presentation>{
|
|
|
831 |
\begin{frame}[c]
|
|
|
832 |
\frametitle{Challenge-Response Protocol}
|
|
|
833 |
|
|
|
834 |
\begin{itemize}
|
|
|
835 |
\item an engine \bl{$E$} and a transponder \bl{$T$} share a key \bl{$K$}\bigskip
|
|
|
836 |
\item \bl{$E$} sends out a \alert{nonce} \bl{$N$} (random number) to \bl{$T$}\bigskip
|
|
|
837 |
\item \bl{$T$} responds with \bl{$\{N\}_K$}\bigskip
|
|
68
|
838 |
\item if \bl{$E$} receives \bl{$\{N\}_K$} from \bl{$T$}, it starts engine
|
|
65
|
839 |
\end{itemize}
|
|
|
840 |
|
|
|
841 |
\end{frame}}
|
|
|
842 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
843 |
|
|
|
844 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
845 |
\mode<presentation>{
|
|
|
846 |
\begin{frame}[c]
|
|
68
|
847 |
\frametitle{Challenge-Response Protocol}
|
|
65
|
848 |
|
|
|
849 |
\begin{center}
|
|
|
850 |
\bl{\begin{tabular}{l}
|
|
|
851 |
$E \;\text{says}\; N$\hfill(start)\\
|
|
|
852 |
$E \;\text{sends}\; T : N$\hfill(challenge)\\
|
|
|
853 |
$(T \;\text{says}\; N) \Rightarrow (T \;\text{sends}\; E : \{N\}_K \wedge$\\
|
|
|
854 |
\hspace{3.5cm} $T \;\text{sends}\; E : \text{Id}(T))$\;\;\;\hfill(response)\\
|
|
|
855 |
$T \;\text{says}\; K$\hfill(key)\\
|
|
|
856 |
$T \;\text{says}\; \text{Id}(T)$\hfill(identity)\\
|
|
|
857 |
$(E \;\text{says}\; \{N\}_K \wedge E \;\text{says}\; \text{Id}(T)) \Rightarrow$\\
|
|
|
858 |
\hspace{5cm}$ \text{start\_engine}(T)$\hfill(engine)\\
|
|
|
859 |
\end{tabular}}
|
|
|
860 |
\end{center}\bigskip
|
|
|
861 |
|
|
|
862 |
\bl{$\Gamma \vdash \text{start\_engine}(T)$}?
|
|
|
863 |
\end{frame}}
|
|
|
864 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
865 |
|
|
68
|
866 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
867 |
\mode<presentation>{
|
|
|
868 |
\begin{frame}[c]
|
|
|
869 |
\frametitle{Exchange of a Fresh Key}
|
|
|
870 |
|
|
70
|
871 |
\bl{$A$} and \bl{$B$} share a (``super-secret'') key \bl{$K_{AB}$} and want to share another key
|
|
69
|
872 |
|
|
68
|
873 |
\begin{itemize}
|
|
|
874 |
\item assumption \bl{$K_{AB}$} is only known to \bl{$A$} and \bl{$B$}\bigskip
|
|
|
875 |
\item \bl{$A \,\text{sends}\, B : A, \{N_A\}_{K_{AB}}$}
|
|
|
876 |
\item \bl{$B\,\text{sends}\, A : \{N_A + 1, N_B\}_{K_{AB}}$}
|
|
|
877 |
\item \bl{$A \,\text{sends}\, B : \{N_B + 1\}_{K_{AB}}$}
|
|
|
878 |
\item \bl{$B \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}
|
|
69
|
879 |
\item<2> \bl{$A \,\text{sends}\, B : \{msg\}_{K^{new}_{AB}}$}
|
|
|
880 |
\end{itemize}\bigskip
|
|
68
|
881 |
|
|
69
|
882 |
Assume \bl{$K^{new}_{AB}$} is compromised by \bl{$I$}
|
|
68
|
883 |
\end{frame}}
|
|
|
884 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
885 |
|
|
|
886 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
887 |
\mode<presentation>{
|
|
|
888 |
\begin{frame}[c]
|
|
|
889 |
\frametitle{The Attack}
|
|
|
890 |
|
|
69
|
891 |
An intruder \bl{$I$} convinces \bl{$A$} to accept the compromised key \bl{$K^{new}_{AB}$}\medskip
|
|
68
|
892 |
|
|
69
|
893 |
\begin{minipage}{1.1\textwidth}
|
|
68
|
894 |
\begin{itemize}
|
|
|
895 |
\item \bl{$A \,\text{sends}\, B : A, \{N_A\}_{K_{AB}}$}
|
|
|
896 |
\item \bl{$B\,\text{sends}\, A : \{N_A + 1, N_B\}_{K_{AB}}$}
|
|
|
897 |
\item \bl{$A \,\text{sends}\, B : \{N_B + 1\}_{K_{AB}}$}
|
|
69
|
898 |
\item \bl{$B \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}\;\;recorded by \bl{$I$}\pause
|
|
|
899 |
\item \bl{$A \,\text{sends}\, B : A, \{M_A\}_{K_{AB}}$}
|
|
|
900 |
\item \bl{$B\,\text{sends}\, A : \{M_A + 1, M_B\}_{K_{AB}}$}
|
|
|
901 |
\item \bl{$A \,\text{sends}\, B : \{M_B + 1\}_{K_{AB}}$}
|
|
70
|
902 |
\item \bl{$B \,\text{sends}\, I : \{K^{newer}_{AB}, N^{newer}_B\}_{K_{AB}}$}\;intercepted by \bl{$I$}
|
|
69
|
903 |
\item \bl{$I \,\text{sends}\, A : \{K^{new}_{AB}, N^{new}_B\}_{K_{AB}}$}\pause
|
|
70
|
904 |
\item \bl{$A \,\text{sends}\, B : \{msg\}_{K^{new}_{AB}}$}\;\;\;\;\bl{$I$} can read it also
|
|
68
|
905 |
\end{itemize}
|
|
69
|
906 |
\end{minipage}
|
|
68
|
907 |
|
|
|
908 |
\end{frame}}
|
|
|
909 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
910 |
|
|
70
|
911 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
912 |
\mode<presentation>{
|
|
|
913 |
\begin{frame}[c]
|
|
|
914 |
\frametitle{Another Challenge-Response}
|
|
|
915 |
|
|
|
916 |
\bl{$A$} and \bl{$B$} share the key \bl{$K_{AB}$} and want to identify
|
|
|
917 |
each other\bigskip
|
|
|
918 |
|
|
|
919 |
\begin{itemize}
|
|
|
920 |
\item \bl{$A \,\text{sends}\, B : A, N_A$}
|
|
|
921 |
\item \bl{$B\,\text{sends}\, A : \{N_A, K'_{AB}\}_{K_{AB}}$}
|
|
|
922 |
\item \bl{$A \,\text{sends}\, B : \{N_A\}_{K'_{AB}}$}
|
|
|
923 |
\end{itemize}
|
|
|
924 |
\end{frame}}
|
|
|
925 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
926 |
|
|
|
927 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
928 |
\mode<presentation>{
|
|
|
929 |
\begin{frame}[c]
|
|
|
930 |
\frametitle{Another Challenge-Response}
|
|
|
931 |
|
|
|
932 |
\bl{$A$} and \bl{$B$} share the key \bl{$K_{AB}$} and want to identify
|
|
|
933 |
each other\bigskip
|
|
|
934 |
|
|
|
935 |
\begin{itemize}
|
|
|
936 |
\item \bl{$A \,\text{sends}\, B : A, N_A$}
|
|
|
937 |
\item \bl{$B\,\text{sends}\, A : \{N_A, K'_{AB}\}_{K_{AB}}$}
|
|
|
938 |
\item \bl{$A \,\text{sends}\, B : \{N_A\}_{K'_{AB}}$}
|
|
|
939 |
\end{itemize}
|
|
|
940 |
\end{frame}}
|
|
|
941 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
942 |
|
|
|
943 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
944 |
\mode<presentation>{
|
|
|
945 |
\begin{frame}[c]
|
|
|
946 |
\frametitle{Another Challenge-Response}
|
|
|
947 |
|
|
71
|
948 |
Unfortunately, an intruder \bl{$I$} can impersonate \bl{$B$}.
|
|
70
|
949 |
|
|
71
|
950 |
\begin{center}
|
|
|
951 |
\begin{tabular}{@{\hspace{-7mm}}c@{\hspace{1mm}}c@{}}
|
|
|
952 |
\begin{tabular}{@{}l@{}}
|
|
|
953 |
\onslide<1->{\bl{$A \,\text{sends}\, I : A, N_A$}}\\
|
|
|
954 |
\onslide<4->{\bl{$I \,\text{sends}\, A : \{N_A,\!K'_{\!AB}\}_{K_{\!AB}}$}}\\
|
|
|
955 |
\onslide<5->{\bl{$A \,\text{sends}\, I : \{N_A\}_{K'_{AB}}$}}\\
|
|
|
956 |
\end{tabular}
|
|
|
957 |
&
|
|
|
958 |
\begin{tabular}{@{}l@{}}
|
|
|
959 |
\onslide<2->{\bl{$I \,\text{sends}\, A : B, N_A$}}\\
|
|
|
960 |
\onslide<3->{\bl{$A \,\text{sends}\, I : \{N_A,\!K'_{\!AB}\}_{K_{\!AB}}$}}\\
|
|
|
961 |
\onslide<6->{\bl{$I \,\text{sends}\, A : \{N_A\}_{K'_{AB}}$}}\\
|
|
|
962 |
\end{tabular}
|
|
|
963 |
\end{tabular}
|
|
|
964 |
\end{center}
|
|
|
965 |
|
|
70
|
966 |
\end{frame}}
|
|
|
967 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
968 |
|
|
|
969 |
|
|
65
|
970 |
\end{document}
|
|
|
971 |
|
|
|
972 |
%%% Local Variables:
|
|
|
973 |
%%% mode: latex
|
|
|
974 |
%%% TeX-master: t
|
|
|
975 |
%%% End:
|
|
|
976 |
|