\begin{frame} \frametitle{Modèle} \begin{columns} \column{0.4\textwidth} \resizebox{\columnwidth}{!}{ \begin{tikzpicture}[ roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,}, arrow/.style={|->, thick,}, ] \node[roundnode] (p0) {}; \node[left] at (p0.west) {$p_0$}; \node[roundnode] (p1) [below=of p0] {}; \node[left] at (p1.west) {$p_1$}; \node[roundnode] (p2) [right=of p1] {}; \node[right] at (p2.east) {$p_2$}; \node[roundnode] (p3) [right=of p0] {}; \node[right] at (p3.east) {$p_3$}; \draw (p0) -- (p1); \draw (p0) -- (p2); \draw (p0) -- (p3); \draw (p1) -- (p2); \draw (p1) -- (p3); \draw (p2) -- (p3); \end{tikzpicture} } \column{0.6\textwidth} \begin{block}{Prérequis} \begin{itemize} \item Tous les nœuds du système sont fortement connectés \item Le système n'est pas partitionnable \item Les nœuds sont asynchrones \item Les nœuds ne peuvent pas être défaillants \item Les nœuds ne peuvent pas être malicieux \end{itemize} \end{block} \end{columns} \end{frame} \begin{frame} \frametitle{Modèle} \begin{columns} \column{0.4\textwidth} \centering \resizebox{0.75\columnwidth}{!}{ \begin{tikzpicture}[ roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,}, ] \node[roundnode] (p0) {}; \node[left] at (p0.west) {$p_0$}; \onslide<3> { \node[above] at (p0.north) {$\textcolor{red}{w(1)}$}; } \onslide<7> { \node[above] at (p0.north) {$\textcolor{red}{r/(1,2)^w}$}; } \node[roundnode] (p1) [below=of p0] {}; \node[left] at (p1.west) {$p_1$}; \onslide<2> { \node[below] at (p1.south) {$\textcolor{red}{r/(0,0)}$}; } \onslide<5> { \node[below] at (p1.south) {$\textcolor{red}{w(2)}$}; } \onslide<6> { \node[below] at (p1.south) {$\textcolor{red}{r/(1,2)}$}; } \onslide<7> { \node[below] at (p1.south) {$\textcolor{red}{r/(1,2)^w}$}; } \node[roundnode] (p2) [right=of p1] {}; \node[right] at (p2.east) {$p_2$}; \onslide<4> { \node[below] at (p2.south) {$\textcolor{red}{r/(0,1)}$}; } \onslide<6> { \node[below] at (p2.south) {$\textcolor{red}{r/(1,2)}$}; } \onslide<7> { \node[below] at (p2.south) {$\textcolor{red}{r/(1,2)^w}$}; } \node[roundnode] (p3) [right=of p0] {}; \node[right] at (p3.east) {$p_3$}; \onslide<4> { \node[above] at (p3.north) {$\textcolor{red}{r/(0,1)}$}; } \onslide<5> { \node[above] at (p3.north) {$\textcolor{red}{w(1)}$}; } \onslide<6> { \node[above] at (p3.north) {$\textcolor{red}{r/(1,1)}$}; } \onslide<7> { \node[above] at (p3.north) {$\textcolor{red}{r/(1,2)^w}$}; } \draw (p0) -- (p1); \draw (p0) -- (p2); \draw (p0) -- (p3); \draw (p1) -- (p2); \draw (p1) -- (p3); \draw (p2) -- (p3); \end{tikzpicture} } \column{\textheight} \begin{tabular}{l} $p_0 = \onslide<3->{w(1)} \onslide<7->{\bullet r/(1,2)^w}$ \\ $p_1 = \onslide<2->{r/(0,0)} \onslide<5->{\bullet w(2)} \onslide<6->{\bullet r/(1,2)} \onslide<7->{\bullet r/(1,2)^w}$ \\ $p_2 = \onslide<4->{r/(0,1)} \onslide<6->{\bullet r/(1,2)} \onslide<7->{\bullet r/(1,2)^w}$ \\ $p_3 = \onslide<4->{r/(0,1)} \onslide<5->{\bullet w(1)} \onslide<6->{\bullet r/(1,1)} \onslide<7->{\bullet r/(1,2)^w}$ \\ \end{tabular} \end{columns} \centering \resizebox{!}{\height}{ \begin{tikzpicture}[ roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,}, ignorednode/.style={circle, draw=black!20, fill=black!20, very thick, minimum size=1pt,}, invisiblenode/.style={circle, draw=white, fill=white, very thick, minimum size=1pt,}, arrow/.style={|->, thick,}, message/.style={->, blue!50, dashed, -{Circle[length=4pt,]}}, ] \node[roundnode] (p00) {}; \node[left] at (p00.west) {$p_0$}; \node[above] at (p00.north) {$\{0\}$}; \node[roundnode] (p10) [below=20pt of p00] {}; \node[left] at (p10.west) {$p_1$}; \node[above] at (p10.north) {$\{0\}$}; \node[roundnode] (p20) [below=20pt of p10] {}; \node[left] at (p20.west) {$p_2$}; \node[above] at (p20.north) {$\{0\}$}; \node[roundnode] (p30) [below=20pt of p20] {}; \node[left] at (p30.west) {$p_3$}; \node[above] at (p30.north) {$\{0\}$}; \pause \node[roundnode] (p01) [right=of p00] {}; \node[above] at (p01.north) {$\{1\}$}; \draw[arrow] (p00) -- node[above] {tata} (p01); % \onslide<3->{ % \node[roundnode] (11) {}; % \node[left] at (11.west) {$p_0$}; % \node[above] at (11.north) {$w(1)$}; % } % \onslide<7-> { % \node[roundnode] (12) [right=of 11] {}; % \node[above] at (12.north) {$r/(1,2)^w$}; % \draw[arrow] (11) -- (12); % } % \onslide<2-> { % \node[roundnode] (21) [below=20pt of 11] {}; % \node[left] at (21.west) {$p_1$}; % \node[above] at (21.north) {$r/(0,0)$}; % } % \onslide<5-> { % \node[roundnode] (22) [right=of 21] {}; % \node[above] at (22.north) {$w(2)$}; % \draw[arrow] (21) -- (22); % } % \onslide<6-> { % \node[roundnode] (23) [right=of 22] {}; % \node[above] at (23.north) {$r/(1,2)$}; % \draw[arrow] (21) -- (23); % } % \onslide<7-> { % \node[roundnode] (24) [right=of 23] {}; % \node[above] at (24.north) {$r/(1,2)^w$}; % \draw[arrow] (21) -- (24); % } % \onslide<4-> { % \node[roundnode] (31) [below=20pt of 21] {}; % \node[left] at (31.west) {$p_2$}; % \node[above] at (31.north) {$r/(0,1)$}; % } % \onslide<6-> { % \node[roundnode] (32) [right=of 31] {}; % \node[above] at (32.north) {$r/(1,2)$}; % \draw[arrow] (31) -- (32); % } % \onslide<7-> { % \node[roundnode] (33) [right=of 32] {}; % \node[above] at (33.north) {$r/(1,2)^w$}; % \draw[arrow] (31) -- (33); % } % \onslide<4-> { % \node[roundnode] (41) [below=20pt of 31] {}; % \node[left] at (41.west) {$p_3$}; % \node[above] at (41.north) {$r/(0,1)$}; % } % \onslide<5-> { % \node[roundnode] (42) [right=of 41] {}; % \node[above] at (42.north) {$w(1)$}; % \draw[arrow] (41) -- (42); % } % \onslide<6-> { % \node[roundnode] (43) [right=of 42] {}; % \node[above] at (43.north) {$r/(1,1)$}; % \draw[arrow] (41) -- (43); % } % \onslide<7-> { % \node[roundnode] (44) [right=of 43] {}; % \node[above] at (44.north) {$r/(1,2)^w$}; % \draw[arrow] (41) -- (44); % } \end{tikzpicture} } \end{frame} \begin{frame} \frametitle{Modèle} \resizebox{\columnwidth}{!}{ \begin{tikzpicture}[ roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,}, ignorednode/.style={circle, draw=black!20, fill=black!20, very thick, minimum size=1pt,}, arrow/.style={|->, thick,}, message/.style={->, blue!50, dashed, -{Circle[length=4pt,]}}, ] \node[roundnode] (11) {}; \node[left] at (11.west) {$p_0$}; \node[above] at (11.north) {$w(1)$}; \node[roundnode] (12) [right=of 11] {}; \node[above] at (12.north) {$I(a)$}; \node[roundnode] (13) [right=of 12] {}; \node[above] at (13.north) {$r/(0,1)$}; \node[roundnode] (14) [right=of 13] {}; \node[above] at (14.north) {$r/(1,2)^w$}; \draw[arrow] (11) -- (12); \draw[arrow] (12) -- (13); \draw[arrow] (13) -- (14); \node[roundnode] (21) [below=of 11] {}; \node[left] at (21.west) {$p_1$}; \node[below] at (21.south) {$w(2)$}; \node[roundnode] (22) [right=of 21] {}; \node[below] at (22.south) {$R/\emptyset$}; \node[roundnode] (23) [right=of 22] {}; \node[below] at (23.south) {$r/(0,2)$}; \node[roundnode] (24) [right=of 23] {}; \node[below] at (24.south) {$r/(1,2)^w$}; \draw[arrow] (21) -- (22); \draw[arrow] (22) -- (23); \draw[arrow] (23) -- (24); \end{tikzpicture} } \end{frame}