author | Christian Urban <christian dot urban at kcl dot ac dot uk> |
Sun, 06 Mar 2016 12:48:31 +0000 | |
changeset 116 | 022503caa187 |
parent 103 | ffe5d850df62 |
child 157 | 1fe44fb6d0a4 |
permissions | -rw-r--r-- |
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\documentclass[dvipsnames,14pt,t, xelatex]{beamer} |
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\usepackage{slides} |
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\usepackage{graph} |
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% beamer stuff |
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parents:
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\renewcommand{\slidecaption}{SEN 09, King's College London} |
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parents:
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\newcommand{\bl}[1]{\textcolor{blue}{#1}} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{document} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{frame}[t] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\frametitle{% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{tabular}{@ {}c@ {}} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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\LARGE Security Engineering (9)\\[-3mm] |
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parents:
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\end{tabular}}\bigskip\bigskip\bigskip |
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parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\normalsize |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{center} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{tabular}{ll} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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Email: & christian.urban at kcl.ac.uk\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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Office: & S1.27 (1st floor Strand Building)\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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Slides: & KEATS (also homework is there)\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{tabular} |
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\end{center} |
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parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{frame} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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parents:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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parents:
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\begin{center} |
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parents:
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\includegraphics[scale=0.6]{pics/bridge-limits.png} |
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\end{center} |
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parents:
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{frame} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\frametitle{Old-Fashioned Eng.~vs.~CS} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{center} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{tabular}{@{}cc@{}} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{tabular}{@{}p{5.2cm}} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\includegraphics[scale=0.058]{pics/towerbridge.jpg}\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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{\bf bridges}: \\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\raggedright\small |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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engineers can ``look'' at a bridge and have a pretty good |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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intuition about whether it will hold up or not\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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(redundancy; predictive theory) |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{tabular} & |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\begin{tabular}{p{5cm}} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\includegraphics[scale=0.265]{pics/code.jpg}\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\raggedright |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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{\bf code}: \\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\raggedright\small |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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programmers have very little intuition about their code; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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often it is too expensive to have redundancy; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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not ``continuous'' |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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64 |
\end{tabular} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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65 |
\end{tabular} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{center} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{frame} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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69 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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73 |
\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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74 |
\frametitle{Trusting Computing Base} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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When considering whether a system meets some security |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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objectives, it is important to consider which parts of that |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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system are trusted in order to meet that objective (TCB). |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\bigskip\pause |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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81 |
The smaller the TCB, the less effort it takes to get |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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82 |
some confidence that it is trustworthy, by doing a code |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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review or by performing some (penetration) testing. |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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84 |
\bigskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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85 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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86 |
\footnotesize |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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CPU, compiler, libraries, OS, NP $\not=$ P, |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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random number generator, \ldots |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{frame} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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91 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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92 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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93 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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94 |
\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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95 |
\frametitle{Dijkstra on Testing} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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96 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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97 |
\begin{bubble}[10cm] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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98 |
``Program testing can be a very effective way to show the |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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99 |
presence of bugs, but it is hopelessly inadequate for showing |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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100 |
their absence.'' |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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101 |
\end{bubble}\bigskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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102 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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103 |
unfortunately attackers exploit bugs (Satan's computer vs |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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104 |
Murphy's) |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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105 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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106 |
\end{frame} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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107 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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108 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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109 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
110 |
\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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111 |
\frametitle{\Large Proving Programs to be Correct} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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112 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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113 |
\begin{bubble}[10cm] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
114 |
\small |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
115 |
{\bf Theorem:} There are infinitely many prime |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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116 |
numbers.\medskip\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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117 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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118 |
{\bf Proof} \ldots\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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119 |
\end{bubble}\bigskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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120 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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121 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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122 |
similarly\bigskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
123 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
124 |
\begin{bubble}[10cm] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
125 |
\small |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
126 |
{\bf Theorem:} The program is doing what |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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it is supposed to be doing.\medskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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128 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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129 |
{\bf Long, long proof} \ldots\\ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\end{bubble}\bigskip\medskip |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\small This can be a gigantic proof. The only hope is to have |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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help from the computer. `Program' is here to be understood to be |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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134 |
quite general (protocols, OS, \ldots). |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
135 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
136 |
\end{frame} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
137 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
139 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
140 |
\begin{frame}[c] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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\frametitle{\Large{}Mars Pathfinder Mission 1997} |
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|
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parents:
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|
143 |
\begin{center} |
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%\includegraphics[scale=0.15]{../pics/marspath1.png} |
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%\includegraphics[scale=0.16]{../pics/marspath3.png} |
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%\includegraphics[scale=0.3]{../pics/marsrover.png} |
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147 |
\end{center} |
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148 |
|
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|
149 |
\begin{itemize} |
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\item despite NASA's famous testing procedures, the lander crashed frequently on Mars |
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|
151 |
\item a scheduling algorithm was not used in the OS |
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152 |
\end{itemize} |
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153 |
|
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|
154 |
\end{frame} |
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parents:
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|
155 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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|
156 |
|
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|
157 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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parents:
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|
158 |
\begin{frame}[c] |
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parents:
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|
159 |
|
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160 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
161 |
\begin{textblock}{11}(1,3) |
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162 |
\begin{tabular}{@{\hspace{-10mm}}l} |
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|
163 |
\begin{tikzpicture}[scale=1.1] |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
164 |
\node at (-2.5,-1.5) {\textcolor{white}{a}}; |
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|
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\node at (8,4) {\textcolor{white}{a}}; |
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|
166 |
|
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parents:
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|
167 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
168 |
|
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
169 |
\only<1>{ |
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parents:
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|
170 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
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|
171 |
} |
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parents:
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|
172 |
\only<2>{ |
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parents:
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|
173 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
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parents:
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|
174 |
\draw[fill, blue!50] (3,0) rectangle (5,0.6); |
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|
175 |
\draw[fill, blue!100] (2,3) rectangle (3,3.6); |
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|
176 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
177 |
\only<3>{ |
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parents:
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|
178 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
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|
179 |
\draw[fill, blue!50] (3,0) rectangle (4.5,0.6); |
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parents:
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|
180 |
\draw[fill, blue!50] (5.5,0) rectangle (6,0.6); |
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parents:
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|
181 |
\draw[fill, blue!100] (2,3) rectangle (3,3.6); |
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parents:
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|
182 |
\draw[fill, blue!100] (4.5,3) rectangle (5.5,3.6); |
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parents:
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|
183 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
184 |
\only<4>{ |
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parents:
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|
185 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
186 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
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parents:
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|
187 |
\draw[blue!50, very thick] (2,0) rectangle (4,0.6); |
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parents:
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changeset
|
188 |
\draw[blue!100, very thick] (2,3) rectangle (3, 3.6); |
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parents:
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|
189 |
\draw[red, <-, line width = 2mm] (2,-0.1) -- (2, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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|
190 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
191 |
\only<5>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
192 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
193 |
\draw[fill, blue!50] (1,0) rectangle (4,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
194 |
\draw[blue!100, fill] (4,3) rectangle (5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
195 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
196 |
\only<6>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
197 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
198 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
199 |
\draw[blue!50, very thick] (2,0) rectangle (4,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
200 |
\draw[blue!100, very thick] (2,3) rectangle (3, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
201 |
\draw[red, <-, line width = 2mm] (2,-0.1) -- (2, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
202 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
203 |
\only<7>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
204 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
205 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
206 |
\draw[blue!50, very thick] (2.5,0) rectangle (4,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
207 |
\draw[blue!100, very thick] (2.5,3) rectangle (3.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
208 |
\draw[red, <-, line width = 2mm] (2.5,-0.1) -- (2.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
209 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
210 |
\only<8>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
211 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
212 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
213 |
\draw[blue!50, very thick] (2.5,0) rectangle (4,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
214 |
\draw[blue!100, very thick] (2.5,3) rectangle (3.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
215 |
\draw[blue!100, very thick] (2.5,3) rectangle (3.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
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changeset
|
216 |
\draw[red, fill] (2.5,1.5) rectangle (3.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
217 |
\draw[red, <-, line width = 2mm] (2.5,-0.1) -- (2.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
218 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
219 |
\only<9>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
220 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
221 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
222 |
\draw[blue!50, very thick] (3.5,0) rectangle (5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
223 |
\draw[blue!100, very thick] (3.5,3) rectangle (4.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
224 |
\draw[red, fill] (2.5,1.5) rectangle (3.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
225 |
\draw[red, <-, line width = 2mm] (3.5,-0.1) -- (3.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
226 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
227 |
\only<10>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
228 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
229 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
230 |
\draw[blue!50, very thick] (3.5,0) rectangle (5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
231 |
\draw[blue!100, very thick] (3.5,3) rectangle (4.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
232 |
\draw[red, fill] (2.5,1.5) rectangle (3.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
233 |
\draw[red, fill] (3.55,1.5) rectangle (4.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
234 |
\draw[red, <-, line width = 2mm] (3.5,-0.1) -- (3.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
235 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
236 |
\only<11>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
237 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
238 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
239 |
\draw[blue!50, very thick] (4.5,0) rectangle (6,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
240 |
\draw[blue!100, very thick] (4.5,3) rectangle (5.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
241 |
\draw[red, fill] (2.5,1.5) rectangle (3.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
242 |
\draw[red, fill] (3.55,1.5) rectangle (4.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
243 |
\draw[red, <-, line width = 2mm] (4.5,-0.1) -- (4.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
244 |
} |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
245 |
\only<12>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
246 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
247 |
\draw[fill, blue!50] (1,0) rectangle (2.5,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
248 |
\draw[blue!50, very thick] (5.5,0) rectangle (7,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
249 |
\draw[blue!100, very thick] (5.5,3) rectangle (6.5, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
250 |
\draw[red, fill] (2.5,1.5) rectangle (3.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
251 |
\draw[red, fill] (3.55,1.5) rectangle (4.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
252 |
\draw[red, fill] (4.55,1.5) rectangle (5.5,2.1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
253 |
\draw[red, <-, line width = 2mm] (5.5,-0.1) -- (5.5, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
254 |
\node [anchor=base] at (6.3, 1.8) {\Large\ldots}; |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
255 |
} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
256 |
\only<13>{ |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
257 |
\node at (2.5,0.9) {\small locked a resource}; |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
258 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
259 |
\draw[blue!50, very thick] (2,0) rectangle (4,0.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
260 |
\draw[blue!100, very thick] (2,3) rectangle (3, 3.6); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
261 |
\draw[red, <-, line width = 2mm] (2,-0.1) -- (2, -1); |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
262 |
} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
263 |
\only<14>{ |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
264 |
\node at (2.5,3.9) {\small locked a resource}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
265 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
266 |
\draw[blue!50, fill] (2,3) rectangle (4,3.6); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
267 |
\draw[blue!100, very thick] (4,3) rectangle (5, 3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
268 |
\draw[blue!50, ->, line width = 2mm] (2,1) -- (2, 2.5); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
269 |
\draw[red, <-, line width = 2mm] (2,-0.1) -- (2, -1); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
270 |
} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
271 |
\only<15>{ |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
272 |
\node at (2.5,3.9) {\small locked a resource}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
273 |
\draw[fill, blue!50] (1,0) rectangle (2,0.6); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
274 |
\draw[blue!50, fill] (2,3) rectangle (4,3.6); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
275 |
\draw[blue!100, very thick] (4,3) rectangle (5, 3.6); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
276 |
\draw[red, <-, line width = 2mm] (2.5,-0.1) -- (2.5, -1); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
277 |
\draw[red, very thick] (2.5,1.5) rectangle (3.5,2.1); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
278 |
} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
279 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
280 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
281 |
\draw[very thick,->](0,0) -- (8,0); |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
282 |
\node [anchor=base] at (8, -0.3) {\scriptsize time}; |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
283 |
\node [anchor=base] at (0, -0.3) {\scriptsize 0}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
284 |
\node [anchor=base] at (-1.2, 0.2) {\small low priority}; |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
285 |
\only<2->{\node [anchor=base] at (-1.2, 3.2) {\small high priority};} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
286 |
\only<8->{\node [anchor=base] at (-1.5, 1.7) {\small medium pr.};} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
287 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
288 |
\end{tikzpicture} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
289 |
\end{tabular} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
290 |
\end{textblock} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
291 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
292 |
\begin{textblock}{0}(2.5,13)% |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
293 |
\small |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
294 |
\onslide<3->{ |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
295 |
\begin{bubble}[8cm]% |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
296 |
Scheduling: You want to avoid that a high |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
297 |
priority process is starved indefinitely. |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
298 |
\end{bubble}} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
299 |
\end{textblock} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
300 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
301 |
\end{frame} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
302 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
303 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
304 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
305 |
\begin{frame}[c] |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
306 |
\frametitle{\Large Priority Inheritance Scheduling} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
307 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
308 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
309 |
\item Let a low priority process $L$ temporarily inherit |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
310 |
the high priority of $H$ until $L$ leaves the critical |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
311 |
section unlocking the resource.\bigskip |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
312 |
\item Once the resource is unlocked $L$ returns to its original |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
313 |
priority level. |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
314 |
\end{itemize} |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
315 |
|
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
316 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
317 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
318 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
319 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
320 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
321 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
322 |
\begin{textblock}{11}(1,3) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
323 |
\begin{tabular}{@{\hspace{-10mm}}l} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
324 |
\begin{tikzpicture}[scale=1.1] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
325 |
\node at (-2.5,-1.5) {\textcolor{white}{a}}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
326 |
\node at (8,4) {\textcolor{white}{a}}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
327 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
328 |
\only<1>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
329 |
\draw[fill, blue!50] (1,0) rectangle (6,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
330 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
331 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
332 |
\node at (3.5,0.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
333 |
\node at (5.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
334 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
335 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
336 |
\draw[very thick,blue!100] (3.5,0) -- (3.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
337 |
\draw[very thick,blue!100] (5.7,0) -- (5.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
338 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
339 |
\only<2>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
340 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
341 |
\draw[very thick, blue!50] (3,0) rectangle (6,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
342 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
343 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
344 |
\node at (3.5,0.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
345 |
\node at (5.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
346 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
347 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
348 |
\draw[very thick,blue!100] (3.5,0) -- (3.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
349 |
\draw[very thick,blue!100] (5.7,0) -- (5.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
350 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
351 |
\only<3>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
352 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
353 |
\draw[very thick, blue!50] (3,0) rectangle (6,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
354 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
355 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
356 |
\node at (3.5,0.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
357 |
\node at (5.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
358 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
359 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
360 |
\draw[very thick,blue!100] (3.5,0) -- (3.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
361 |
\draw[very thick,blue!100] (5.7,0) -- (5.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
362 |
\draw[very thick,blue!100] (3,3) rectangle (4,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
363 |
\node at (3.5,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
364 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
365 |
\only<4>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
366 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
367 |
\draw[very thick, blue!50] (3,0) rectangle (6,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
368 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
369 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
370 |
\node at (3.5,0.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
371 |
\node at (5.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
372 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
373 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
374 |
\draw[very thick,blue!100] (3.5,0) -- (3.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
375 |
\draw[very thick,blue!100] (5.7,0) -- (5.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
376 |
\draw[very thick,blue!100] (3,3) rectangle (4,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
377 |
\node at (3.5,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
378 |
\draw[very thick,blue!100] (4,3) rectangle (5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
379 |
\node at (4.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
380 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
381 |
\only<5>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
382 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
383 |
\draw[very thick, blue!50] (3,3) rectangle (6,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
384 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
385 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
386 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
387 |
\node at (5.7,3.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
388 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
389 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
390 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
391 |
\draw[very thick,blue!100] (5.7,3) -- (5.7,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
392 |
\draw[very thick,blue!100] (6,3) rectangle (7,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
393 |
\node at (6.5,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
394 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
395 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
396 |
\draw[blue!50, ->, line width = 2mm] (3,1) -- (3, 2.5); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
397 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
398 |
\only<6>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
399 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
400 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
401 |
\draw[very thick, blue!50] (3.5,3) rectangle (6,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
402 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
403 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
404 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
405 |
\node at (5.7,3.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
406 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
407 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
408 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
409 |
\draw[very thick,blue!100] (5.7,3) -- (5.7,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
410 |
\draw[very thick,blue!100] (6,3) rectangle (7,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
411 |
\node at (6.5,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
412 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
413 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
414 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
415 |
\only<7>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
416 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
417 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
418 |
\draw[very thick, blue!50] (3.5,0) rectangle (6,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
419 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
420 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
421 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
422 |
\node at (5.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
423 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
424 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
425 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
426 |
\draw[very thick,blue!100] (5.7,0) -- (5.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
427 |
\draw[very thick,blue!100] (6,3) rectangle (7,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
428 |
\node at (6.5,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
429 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
430 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
431 |
\draw[blue!50, <-, line width = 2mm] (3.5,1) -- (3.5, 2.5); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
432 |
\draw[blue!50, <-, line width = 2mm] (4,3.3) -- (5.5,3.3); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
433 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
434 |
\only<8>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
435 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
436 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
437 |
\draw[very thick, blue!50] (4.5,0) rectangle (7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
438 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
439 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
440 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
441 |
\node at (6.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
442 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
443 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
444 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
445 |
\draw[very thick,blue!100] (6.7,0) -- (6.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
446 |
\draw[fill,blue!100] (3.5,3) rectangle (4.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
447 |
\node at (4,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
448 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
449 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
450 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
451 |
\only<9>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
452 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
453 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
454 |
\draw[fill, blue!50] (4.5,0) rectangle (5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
455 |
\draw[very thick, blue!50] (5,0) rectangle (7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
456 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
457 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
458 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
459 |
\node at (6.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
460 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
461 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
462 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
463 |
\draw[very thick,blue!100] (6.7,0) -- (6.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
464 |
\draw[fill,blue!100] (3.5,3) rectangle (4.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
465 |
\node at (4,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
466 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
467 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
468 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
469 |
\only<10>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
470 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
471 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
472 |
\draw[fill, blue!50] (4.5,0) rectangle (5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
473 |
\draw[very thick, blue!50] (5,0) rectangle (7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
474 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
475 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
476 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
477 |
\node at (6.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
478 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
479 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
480 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
481 |
\draw[very thick,blue!100] (6.7,0) -- (6.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
482 |
\draw[fill,blue!100] (3.5,3) rectangle (4.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
483 |
\node at (4,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
484 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
485 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
486 |
\draw[red, fill] (5,1.5) rectangle (6,2.1); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
487 |
\draw[red, fill] (6.05,1.5) rectangle (7,2.1); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
488 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
489 |
\only<11>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
490 |
\draw[fill, blue!50] (1,0) rectangle (3,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
491 |
\draw[fill, blue!50] (3,3) rectangle (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
492 |
\draw[fill, blue!50] (4.5,0) rectangle (5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
493 |
\draw[very thick, blue!50] (5,0) rectangle (7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
494 |
\node at (1.5,0.9) {\small $A_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
495 |
\node at (2.0,0.9) {\small $B_L$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
496 |
\node at (3.5,3.9) {\small $A_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
497 |
\node at (6.7,0.9) {\small $B_R$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
498 |
\draw[very thick,blue!100] (1.5,0) -- (1.5,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
499 |
\draw[very thick,blue!100] (2.0,0) -- (2.0,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
500 |
\draw[very thick,blue!100] (3.5,3) -- (3.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
501 |
\draw[very thick,blue!100] (6.7,0) -- (6.7,0.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
502 |
\draw[fill,blue!100] (3.5,3) rectangle (4.5,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
503 |
\node at (4,3.3) {\small $A$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
504 |
\draw[very thick,blue!100] (7,3) rectangle (8,3.6); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
505 |
\node at (7.5,3.3) {\small $B$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
506 |
\draw[red, fill] (5,1.5) rectangle (6,2.1); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
507 |
\draw[red, fill] (6.05,1.5) rectangle (7,2.1); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
508 |
\draw[blue!50, ->, line width = 2mm] (7.1,0.4) -- (8, 0.4); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
509 |
\draw[blue!50, ->, line width = 2mm] (7.1,4) -- (8,4); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
510 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
511 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
512 |
\draw[very thick,->](0,0) -- (8,0); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
513 |
\node [anchor=base] at (8, -0.3) {\scriptsize time}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
514 |
\node [anchor=base] at (0, -0.3) {\scriptsize 0}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
515 |
\node [anchor=base] at (-1.2, 0.2) {\small low priority}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
516 |
\only<2->{\node [anchor=base] at (-1.2, 3.2) {\small high priority};} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
517 |
\only<10->{\node [anchor=base] at (-1.5, 1.7) {\small medium pr.};} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
518 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
519 |
\end{tikzpicture} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
520 |
\end{tabular} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
521 |
\end{textblock} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
522 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
523 |
\begin{textblock}{0}(2.5,13)% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
524 |
\small |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
525 |
\onslide<11>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
526 |
\begin{bubble}[8cm]% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
527 |
Scheduling: You want to avoid that a high |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
528 |
priority process is staved indefinitely. |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
529 |
\end{bubble}} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
530 |
\end{textblock} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
531 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
532 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
533 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
534 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
535 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
536 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
537 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
538 |
\frametitle{\Large Priority Inheritance Scheduling} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
539 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
540 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
541 |
\item Let a low priority process $L$ temporarily inherit |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
542 |
the high priority of $H$ until $L$ leaves the critical |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
543 |
section unlocking the resource.\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
544 |
\item Once the resource is unlocked $L$ returns to its original |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
545 |
priority level. \alert{\bf BOGUS}\pause\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
546 |
\item \ldots $L$ needs to switch to the highest |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
547 |
\alert{remaining} priority of the threads that it blocks. |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
548 |
\end{itemize}\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
549 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
550 |
\small this error is already known since around 1999 |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
551 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
552 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
553 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
554 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
555 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
556 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
557 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
558 |
\begin{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
559 |
\includegraphics[scale=0.25]{pics/p3.jpg} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
560 |
\end{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
561 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
562 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
563 |
\item by Rajkumar, 1991 |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
564 |
\item \it ``it resumes the priority it had at the point of entry into the critical |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
565 |
section'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
566 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
567 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
568 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
569 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
570 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
571 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
572 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
573 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
574 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
575 |
\begin{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
576 |
\includegraphics[scale=0.25]{pics/p2.jpg} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
577 |
\end{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
578 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
579 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
580 |
\item by Jane Liu, 2000 |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
581 |
\item {\it ``The job $J_l$ executes at its inherited |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
582 |
priority until it releases $R$; at that time, the |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
583 |
priority of $J_l$ returns to its priority |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
584 |
at the time when it acquires the resource $R$.''}\medskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
585 |
\item \small gives pseudo code and totally bogus data structures |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
586 |
\item \small interesting part ``{\it left as an exercise}'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
587 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
588 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
589 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
590 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
591 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
592 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
593 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
594 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
595 |
\begin{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
596 |
\includegraphics[scale=0.15]{pics/p1.pdf} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
597 |
\end{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
598 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
599 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
600 |
\item by Laplante and Ovaska, 2011 (\$113.76) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
601 |
\item \it ``when $[$the task$]$ exits the critical section that |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
602 |
caused the block, it reverts to the priority it had |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
603 |
when it entered that section'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
604 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
605 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
606 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
607 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
608 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
609 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
610 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
611 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
612 |
\begin{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
613 |
\includegraphics[scale=0.25]{pics/p4.jpg} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
614 |
\end{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
615 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
616 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
617 |
\item by Silberschatz, Galvin, and Gagne, 2013 (OS-bible) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
618 |
\item \it ``Upon releasing the lock, the |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
619 |
$[$low-priority$]$ thread will revert to |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
620 |
its original priority.'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
621 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
622 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
623 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
624 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
625 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
626 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
627 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
628 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
629 |
\frametitle{Priority Scheduling} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
630 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
631 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
632 |
\item a scheduling algorithm that is widely used in real-time operating systems |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
633 |
\item has been ``proved'' correct by hand in a paper in 1983 |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
634 |
\item but this algorithm turned out to be incorrect, despite its ``proof''\bigskip\pause |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
635 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
636 |
\item we corrected the algorithm and then {\bf really} proved that it is correct |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
637 |
\item we implemented this algorithm in a small OS called PINTOS (used for teaching at Stanford) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
638 |
\item our implementation was much more efficient than their reference implementation |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
639 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
640 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
641 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
642 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
643 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
644 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
645 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
646 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
647 |
\frametitle{Design of AC-Policies} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
648 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
649 |
Imagine you set up an access policy (root, lpd, users, staff, etc) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
650 |
\bigskip\pause |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
651 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
652 |
\Large |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
653 |
\begin{quote} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
654 |
``what you specify is what you get but not necessarily what you want\ldots'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
655 |
\end{quote}\bigskip\bigskip\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
656 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
657 |
\normalsize main work by Chunhan Wu (a PhD-student in Nanjing) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
658 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
659 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
660 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
661 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
662 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
663 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
664 |
\frametitle{Testing Policies} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
665 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
666 |
\begin{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
667 |
\begin{tikzpicture}[scale=1] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
668 |
%\draw[black!10,step=2mm] (-5,-3) grid (5,4); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
669 |
%\draw[black!10,thick,step=10mm] (-5,-3) grid (5,4); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
670 |
\draw[white,thick,step=10mm] (-5,-3) grid (5,4); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
671 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
672 |
\draw [black!20, line width=1mm] (0,0) circle (1cm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
673 |
\draw [line width=1mm] (0,0) circle (3cm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
674 |
\node [black!20] at (0,0) {\begin{tabular}{c}core\\[-1mm] system\end{tabular}}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
675 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
676 |
\draw [red, line width=2mm, <-] (-2.1,2.1) -- (-3.5,3.2); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
677 |
\node at (-3.5,3.6) {your system}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
678 |
\node at (-4.8,0) {\Large policy $+$}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
679 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
680 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
681 |
\only<2>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
682 |
\draw [black, fill=red, line width=0.5mm] (2,1) circle (3mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
683 |
\draw [red, line width=2mm, <-] (2.3,1.2) -- (3.5,2); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
684 |
\node at (3.8,2.6) {\begin{tabular}{l}a seed\\[-1mm] \footnotesize virus, Trojan\end{tabular}};} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
685 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
686 |
\only<3>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
687 |
\draw [black, fill=red, line width=0.5mm] (2,1) circle (7mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
688 |
\node[white] at (2,1) {\small tainted};} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
689 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
690 |
\only<4>{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
691 |
\begin{scope} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
692 |
\draw [clip] (0,0) circle (2.955cm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
693 |
\draw [black, fill=red, line width=0.5mm] (2,1) circle (9mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
694 |
\node[white] at (2,1) {\small tainted}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
695 |
\end{scope}} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
696 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
697 |
\only<5->{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
698 |
\begin{scope} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
699 |
\draw [clip] (0,0) circle (2.955cm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
700 |
\draw [black, fill=red, line width=0.5mm] (2,1) circle (13mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
701 |
\node[white] at (2,1) {\small tainted}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
702 |
\end{scope}} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
703 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
704 |
\only<6->{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
705 |
\draw[fill=white, line width=1mm] (1.265,2.665) arc (-35:183:5mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
706 |
\draw[fill=white, line width=1mm] (1.25,3.25) arc (-35:183:3mm); |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
707 |
\node[black, rotate=10] at (1.9,3.6) {\LARGE\ldots}; |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
708 |
} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
709 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
710 |
\end{tikzpicture} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
711 |
\end{center} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
712 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
713 |
\only<7->{ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
714 |
\begin{textblock}{4}(1,12) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
715 |
\small |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
716 |
reduced the problem to a finite problem; gave a proof |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
717 |
\end{textblock}} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
718 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
719 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
720 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
721 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
722 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
723 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
724 |
\frametitle{Fuzzy Testing C-Compilers} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
725 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
726 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
727 |
\item tested GCC, LLVM and others by randomly generating |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
728 |
C-programs |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
729 |
\item found more than 300 bugs in GCC and also |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
730 |
many in LLVM (some of them highest-level critical)\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
731 |
\item about CompCert: |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
732 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
733 |
\begin{bubble}[10cm]\small ``The striking thing about our CompCert |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
734 |
results is that the middle-end bugs we found in all other |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
735 |
compilers are absent. As of early 2011, the under-development |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
736 |
version of CompCert is the only compiler we have tested for |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
737 |
which Csmith cannot find wrong-code errors. This is not for |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
738 |
lack of trying: we have devoted about six CPU-years to the |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
739 |
task.'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
740 |
\end{bubble} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
741 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
742 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
743 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
744 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
745 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
746 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
747 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
748 |
\frametitle{Big Proofs in CS (2)} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
749 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
750 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
751 |
\item in 2010, verification of a micro-kernel operating system (approximately 8700 loc) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
752 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
753 |
\item used in helicopters and mobile phones |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
754 |
\item 200k loc of proof |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
755 |
\item 25 - 30 person years |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
756 |
\item found 160 bugs in the C code (144 by the proof) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
757 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
758 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
759 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
760 |
\begin{bubble}[10cm]\small |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
761 |
``Real-world operating-system kernel with an end-to-end proof |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
762 |
of implementation correctness and security enforcement'' |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
763 |
\end{bubble}\bigskip\pause |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
764 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
765 |
unhackable kernel (New Scientists, September 2015) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
766 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
767 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
768 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
769 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
770 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
771 |
\frametitle{Big Proofs in CS (3)} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
772 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
773 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
774 |
\item verified TLS implementation\medskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
775 |
\item verified compilers (CompCert, CakeML)\medskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
776 |
\item verified distributed systems (Verdi)\medskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
777 |
\item verified OSes or OS components\\ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
778 |
(seL4, CertiKOS, Ironclad Apps, \ldots)\medskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
779 |
\item verified cryptography |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
780 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
781 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
782 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
783 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
784 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
785 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
786 |
\frametitle{How Did This Happen?} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
787 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
788 |
Lots of ways! |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
789 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
790 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
791 |
\item better programming languages |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
792 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
793 |
\item basic safety guarantees built in \item powerful mechanisms for abstraction and modularity |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
794 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
795 |
\item better software development methodology |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
796 |
\item stable platforms and frameworks |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
797 |
\item better use of specifications\medskip\\ |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
798 |
\small If you want to build software that works or is secure, |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
799 |
it is helpful to know what you mean by ``works'' and by ``is secure''! |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
800 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
801 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
802 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
803 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
804 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
805 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
806 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
807 |
\begin{frame}[c] |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
808 |
\frametitle{Goal} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
809 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
810 |
Remember the Bridges example? |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
811 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
812 |
\begin{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
813 |
\item Can we look at our programs and somehow ensure |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
814 |
they are secure/bug free/correct?\pause\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
815 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
816 |
\item Very hard: Anything interesting about programs is equivalent |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
817 |
to halting problem, which is undecidable.\pause\bigskip |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
818 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
819 |
\item \alert{Solution:} We avoid this ``minor'' obstacle by |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
820 |
being as close as possible of deciding the halting |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
821 |
problem, without actually deciding the halting problem. |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
822 |
\small$\quad\Rightarrow$ yes, no, don't know (static analysis) |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
823 |
\end{itemize} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
824 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
825 |
\end{frame} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
826 |
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
827 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
828 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
829 |
\end{document} |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
830 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
831 |
|
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
832 |
%%% Local Variables: |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
833 |
%%% mode: latex |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
834 |
%%% TeX-master: t |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
835 |
%%% End: |
ffe5d850df62
added some slides
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff
changeset
|
836 |