diff --git a/docs/présentation_consistence_faible/définition/adt.tex b/docs/presentations/LIS/consistence_faible/définition/adt.tex
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diff --git a/docs/présentation_consistence_faible/définition/exemple.tex b/docs/presentations/LIS/consistence_faible/définition/exemple.tex
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diff --git a/docs/présentation_consistence_faible/définition/index.tex b/docs/presentations/LIS/consistence_faible/définition/index.tex
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index 9fede3c..2ba5ea4
--- a/docs/présentation_consistence_faible/définition/index.tex
+++ b/docs/presentations/LIS/consistence_faible/définition/index.tex
@@ -4,4 +4,4 @@
 \include{définition/adt}
 
 \subsection{Définition du modèle}
-% \include{définition/modele}
+\include{définition/modele}
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/convergence_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/convergence_hc.tex
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/linearisation_atomicite_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/linearisation_atomicite_hc.tex
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/linearisation_regularite_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/linearisation_regularite_hc.tex
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/linearisation_surete_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/linearisation_surete_hc.tex
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/localiteetat_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/localiteetat_hc.tex
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diff --git a/docs/présentation_consistence_faible/wconsistence_properties/validite_hc.tex b/docs/presentations/LIS/consistence_faible/wconsistence_properties/validite_hc.tex
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diff --git a/docs/presentations/LIS/vanderlinde/corps/attaques.tex b/docs/presentations/LIS/vanderlinde/corps/attaques.tex
new file mode 100755
index 0000000..c0129ba
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/corps/attaques.tex
@@ -0,0 +1,69 @@
+\begin{frame}
+  \frametitle{Résumé de l'article}
+
+  \begin{block}{Apports}
+    \begin{itemize}
+      \item Formalisation des attaques possibles sur les systèmes satisfaisant la convergence causale.
+      \item Définition de propriétés permettant de contrer ou de limiter ces attaques.
+      \item Formalisation de "nouvelles" classes de cohérence faible étendant la cohérence causale à ces propriétés : "Secure Causal Consistency".
+      \item Présentation d'algorithmes produisant des histoires satisfaisant cette classe.
+      \item Expérimentation de ces algorithmes et comparaison avec les algorithmes existants.
+    \end{itemize}
+  \end{block}
+
+\end{frame}
+
+\begin{frame}
+  \frametitle{Résumé de l'article}
+
+  \begin{block}{Attentes}
+    Les auteurs cherchent à produire un algorithme maximisant l'interactivité et donc minimisant la latence. \newline
+    L'architecture étudiée est une architecture client-serveur, avec une connectivité en pair à pair entre les clients. 
+  \end{block}
+
+  Illustration de l'architecture
+
+\end{frame}
+
+\begin{frame}
+  \frametitle{Attaques}
+
+  \begin{block}{Attaques}
+    \begin{itemize}
+      \item \textbf{Tempering} : Anticipation d'une opération reçue par le système, mais pas encore exécutée par l'ensemble des nœuds.
+      \item \textbf{Omitting Dependencies} : Création d'une opération suivant un sous ensemble des dépendances réelles.
+      \item \textbf{Unseen Dependencies} : Anticipation d'une opération non reçue par le système, mais probable d'arrivée.
+      \item \textbf{Sibling Generation} : Création de deux opérations différentes possédant le même identifiant. Réalisant ainsi une divergence entre les nœuds. 
+    \end{itemize}
+  \end{block} 
+\end{frame}
+
+\begin{frame}
+  \frametitle{Propriétés}
+
+  \begin{block}{Propriétés}
+    \begin{itemize}
+      \item \textbf{Immutable History} : Chaque opération est envoyée avec son passé causal. (Parade le \textbf{Tempering})
+      \item \textbf{No Future Dependencies} : Chaque opération est envoyée avec l'état qu'il connait des nœuds. (Parade l'\textbf{Unseen Dependencies}, il devient impossible de créer une opération à l'avance).
+      \item \textbf{Causal Execution} : Toute opération $o_i$ appartenant au passé causal d'une opération $o$ doit être sérialisable t.q. : $o_i < o$. (Fait office de synchronisation entre les nœuds)
+      \item \textbf{Eventual Sibling Detection} : Les opérations sont considérées comme des "jumeaux" éventuels et sont donc "révocables" via une nouvelle opération dédiée. (Parade (relativement) le \textbf{Sibling Generation})
+      \item \textbf{Limited Omission} : à travailler
+    \end{itemize}
+  \end{block}
+
+  Ces propriétés définissent la première classe que les auteurs introduisent : \textbf{Secure Causal Consistency}.
+\end{frame}
+
+\begin{frame}
+  \frametitle{Les différentes classes de cohérence faible}
+
+  \begin{block}{Les différentes classes de cohérence faible}
+    \begin{itemize}
+      \item \textbf{Secure Causal Consistency} : Respecte les propriétés précédentes ainsi que celles introduites par la convergence causale.
+      \item \textbf{Secure Strict Causal Consistency} : Extension de la précédente, mais avec un ordre total basé sur la vision d'un observateur externe.
+      \item \textbf{Extended Secure Causal Consistency} : 
+    \end{itemize}
+  \end{block}
+  
+
+\end{frame}
diff --git a/docs/presentations/LIS/vanderlinde/corps/index.tex b/docs/presentations/LIS/vanderlinde/corps/index.tex
new file mode 100755
index 0000000..59ea92b
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/corps/index.tex
@@ -0,0 +1 @@
+\input{corps/attaques.tex}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/images/carte_criteres.png b/docs/presentations/LIS/vanderlinde/images/carte_criteres.png
new file mode 100755
index 0000000..cd71ddc
Binary files /dev/null and b/docs/presentations/LIS/vanderlinde/images/carte_criteres.png differ
diff --git a/docs/presentations/LIS/vanderlinde/intro/coherencecausale.tex b/docs/presentations/LIS/vanderlinde/intro/coherencecausale.tex
new file mode 100755
index 0000000..e954478
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/intro/coherencecausale.tex
@@ -0,0 +1,88 @@
+\begin{frame}
+    \frametitle{Cohérence Causale (Convergente)}
+
+    \begin{columns}
+        \column{0.5\textwidth}
+        \resizebox{\columnwidth}{!}{
+            \includegraphics{images/carte_criteres.png}
+        }
+
+        \column{0.5\columnwidth}
+        \begin{block}{La cohérence causale selon Van Der Linde}
+            Usage du terme \textbf{Causal Consistency} qui pourrait être confondue avec la Cohérence Causale de Perrin. \newline
+            Mais s'approche plus de ce que Perrin qualifie de \textbf{Convergence Causale} (ou Causal Convergence (CCv)). \newline
+            Les auteurs souhaitent privilégier la \textbf{Convergence} à la \textbf{Validité}.
+        \end{block}
+    \end{columns}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Cohérence Causale Faible (WCC)}
+
+    \begin{block}{Définition}
+        Il existe un ordre causal tel que pour chaque lecture, il existe une linéarisation du passé causal de cet événement le justifiant.
+    \end{block}
+
+    \only<1>{
+        \begin{columns}
+            \column{0.4\columnwidth}
+            \begin{tcolorbox}[colframe=green!50!black]
+                \input{schemas/wcc_hc_1}
+            \end{tcolorbox}
+            \column{0.5\columnwidth}
+            $\textcolor{red}{w(1)} \bullet \textcolor{red!50}{r/(0,1)}$ \newline
+            $\textcolor{blue}{w(3)} \bullet \textcolor{red}{w(1)} \bullet \textcolor{green!75!black}{r/(3,1)}$ \newline
+            $\textcolor{blue}{w(3)} \bullet \textcolor{red}{w(1)} \bullet \textcolor{green!75!black}{r} \bullet \textcolor{blue!50}{r/(3,1)}$ \newline
+            $\textcolor{red}{w(1)} \bullet \textcolor{blue}{w(3)} \bullet \textcolor{green!75!black}{r} \bullet \textcolor{green!95!black}{w(2)} \bullet \textcolor{red!25}{r/(3,2)}$ \newline
+            $\textcolor{red}{w(1)} \bullet \textcolor{blue}{w(3)} \bullet \textcolor{green!75!black}{r} \bullet \textcolor{green!95!black}{w(2)} \bullet \textcolor{blue!50}{r} \bullet \textcolor{blue!25}{r/(3,2)}$ \newline
+        \end{columns}
+
+
+        \begin{columns}
+            \column{0.4\columnwidth}
+            \begin{tcolorbox}[colframe=red!50!black]
+                \input{schemas/wcc_hc_2}
+            \end{tcolorbox}
+            \column{0.5\columnwidth}
+            $w(1) \bullet r/(0,1)$ \newline
+            Ici il n'est pas possible de trouver un ordre causal qui permette de linéariser le passé causal de $r/(2,1)$.
+        \end{columns}
+    }
+
+    \only<2>{
+        \begin{columns}
+            \column{0.4\columnwidth}
+            \begin{tcolorbox}[colframe=green!50!black]
+                \input{schemas/wcc_hc_3}
+            \end{tcolorbox}
+            \column{0.5\columnwidth}
+            $\textcolor{green!75!black}{r/(0,0)}$ \newline
+            $\textcolor{red}{w(1)} \bullet \textcolor{blue}{w(3)} \bullet \textcolor{red!50}{r/(3,1)}$ \newline
+            $\textcolor{blue}{w(3)} \bullet \textcolor{red}{w(1)} \bullet \textcolor{blue!50}{r/(1,3)}$ \newline
+            $\textcolor{red}{w(1)} \bullet \textcolor{blue}{w(3)} \bullet \textcolor{green!75!black}{r} \bullet \textcolor{green!95!black}{w(2)} \bullet \textcolor{red!25}{r/(1,2)^\omega}$ \newline
+            $\textcolor{blue}{w(3)} \bullet \textcolor{red}{w(1)} \bullet \textcolor{blue!50}{r} \bullet \textcolor{green!75!black}{r} \bullet \textcolor{green!95!black}{w(2)} \bullet \textcolor{blue!25}{r/(3,2)^\omega}$ \newline
+
+            Cet exemple respecte la validité, mais pas la convergence.
+         \end{columns}
+    }
+\end{frame}
+
+\begin{frame}
+    \frametitle{Convergence Causale (CCv)}
+
+    \begin{block}{Définition}
+        Il existe un ordre causal et un ordre total tel que pour chaque lecture, il existe une linéarisation du passé causal de cet événement trié suivant l'ordre total le justifiant.
+    \end{block}
+
+    \begin{columns}
+        \column{0.4\columnwidth}
+        \begin{tcolorbox}[colframe=green!50!black]
+            \resizebox{1.2\columnwidth}{!}{
+                \includegraphics{schemas/ccv_hc_1.png}
+            }
+        \end{tcolorbox}
+        \column{0.5\columnwidth}
+        % J'expliquerai au tableau
+    \end{columns}
+
+\end{frame}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/intro/history.tex b/docs/presentations/LIS/vanderlinde/intro/history.tex
new file mode 100755
index 0000000..bd13db9
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/intro/history.tex
@@ -0,0 +1,36 @@
+\subsubsection{Le début de l'informatique distribuée}
+\begin{frame}
+  \frametitle{Les processeurs multicœurs}
+
+  \begin{block}{Historique (1970)}
+    \begin{itemize}
+      \item Besoin d'augmenter les performances des processeurs
+      \begin{itemize}
+        \item Augmentation de la fréquence (limite physique)
+        \item Augmentation du nombre de processeurs (problèmes de cohérence)
+      \end{itemize}
+      \item Lamport à défini des propriétés permettant de définir la notion de cohérence forte.
+      \item L'approche de Lamport est de classer l'exécution et non pas l'algorithme.
+    \end{itemize}
+    \begin{quotation}
+      "A correct execution is achieved if the results produced are the same as would be produced by executing the program steps in order."
+      \footnote{Lamport, \emph{How to Make a Multiprocessor Computer That Correctly Executes Multiprocess Programs}, 1979}
+    \end{quotation}
+  \end{block}
+\end{frame}
+
+\begin{frame}
+  \frametitle{La généralisation aux systèmes distribuée}
+  \begin{block}{Historique (1980)}
+    \begin{itemize}
+      \item Lamport étend sa définition de la cohérence forte aux systèmes distribués. \footnote{Lamport, \emph{On interprocess communication}, 1986}
+      \item Il définit trois propriétés :
+      \begin{itemize}
+        \item \textbf{Sûreté}
+        \item \textbf{Régularité}
+        \item \textbf{Atomicité}
+      \end{itemize}
+      \item Une exécution qui respecte ces 3 propriétés est dite linéarisable.
+    \end{itemize}
+  \end{block}
+\end{frame}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/intro/index.tex b/docs/presentations/LIS/vanderlinde/intro/index.tex
new file mode 100755
index 0000000..6cd59cf
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/intro/index.tex
@@ -0,0 +1,11 @@
+\subsection{Historique}
+\include{intro/history.tex}
+
+\subsection{La linéarisabilité}
+\include{intro/linearisabilite.tex}
+
+\subsection{Rappels}
+\include{intro/rappel.tex}
+
+\subsection{Cohérence Causale (Convergente)}
+\include{intro/coherencecausale.tex}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/intro/linearisabilite.tex b/docs/presentations/LIS/vanderlinde/intro/linearisabilite.tex
new file mode 100755
index 0000000..f0b5aa3
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/intro/linearisabilite.tex
@@ -0,0 +1,45 @@
+\begin{frame}
+  \frametitle{Sûreté}
+  \begin{block}{Définition}
+      Toute lecture réalisée dans un même environnement non-concurrent est identique.
+  \end{block}
+  \begin{figure}
+      \input{schemas/linearisation_surete_hc}
+  \end{figure}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Régularité}
+  \begin{block}{Définition}
+      Une lecture concurrente à une écriture peut lire soit la valeur avant l'écriture, soit la valeur après l'écriture.
+  \end{block}
+  \begin{figure}
+      \input{schemas/linearisation_regularite_hc}
+  \end{figure}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Atomicité}
+  \begin{block}{Définition}
+      Si deux lectures ne sont pas concurrente la deuxième doit retourner une valeur au moins aussi récente que la première.
+  \end{block}
+  \begin{figure}
+      \input{schemas/linearisation_atomicite_hc}
+  \end{figure}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Cohérence Atomique ($C_\top$)}
+
+  \begin{block}{Définition}
+    La cohérence atomique est le critère de cohérence le plus fort existant.
+    \begin{itemize}
+      \item Il est le moins efficace en terme d'interactivité.
+      \item Il demande une synchronisation entre les opérations
+      \begin{itemize}
+        \item Chaque opération d'écriture ou de lecture est bloquante et doit attendre la fin de la précédente.
+      \end{itemize} 
+      \item Il est utilisé en tant que référence.
+    \end{itemize}
+  \end{block}
+\end{frame}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/intro/rappel.tex b/docs/presentations/LIS/vanderlinde/intro/rappel.tex
new file mode 100755
index 0000000..cd7f316
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/intro/rappel.tex
@@ -0,0 +1,147 @@
+\begin{frame}
+  \frametitle{Les modèles de cohérences}
+
+  \begin{columns}
+    \column{0.6\textwidth}
+    \footnote{Perrin, \emph{Concurrence et cohérence dans les systèmes répartis}, 2017}
+    \resizebox{\columnwidth}{!}{
+      \includegraphics{images/carte_criteres.png}
+    }
+
+    \column{0.4\columnwidth}
+    \begin{block}{Les classes de cohérences}
+      2 Grandes familles :
+      \begin{itemize}
+        \item Cohérence Forte
+        \item Cohérence Faible :
+        \begin{itemize}
+          \item Localité d'état (SL)
+          \item Convergence (EC)
+          \item Validité (V)
+        \end{itemize}
+      \end{itemize}
+    \end{block}
+  \end{columns}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Validité (V)}
+
+  \begin{block}{Définition}
+    Il existe, un ensemble cofini d'événement tel que pour chacun d'entre eux une linéarisation de toutes les opérations d'écriture les justifient. \\
+  \end{block}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=green!50!black]
+      \input{schemas/validite_hc_1}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    \begin{math}
+      \begin{array}{ll}
+        E' = & \{r/(2,1)^\omega, r/(1,2)^\omega\}                             \\
+             & w(2) \bullet w(1) \bullet \textcolor{red}{r/(2,1)^\omega} \\
+             & w(1) \bullet w(2) \bullet \textcolor{red}{r/(1,2)^\omega} \\
+      \end{array}
+    \end{math}
+  \end{columns}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=red!50!black]
+      \input{schemas/validite_hc_2}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    $E' = \{r/(0,1)^\omega, r/(1,2)^\omega\}$. \\
+    Il n'existe pas de linéarisation des opérations d'écritures qui justifie $r/(0,1)^\omega$.
+  \end{columns}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Localité d'état}
+
+  \begin{block}{Définition}
+    Pour tout processus $p$, il existe une linéarisation contenant toutes les lectures pures de $p$. Respectant l'ordre local de ces lectures. \\
+  \end{block}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=green!50!black]
+      \input{schemas/localiteetat_hc_1}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    \begin{math}
+      \begin{array}{l}
+        \textcolor{blue}{C_{p_0} = \{r/(0,0), r/(0,2)^\omega, w(2)\}}, \\
+        \textcolor{red}{C_{p_1} = \{r/(0,0), r/(0,1)^\omega, w(1)\}},  \\
+        \textcolor{blue}{r/(0,0) \bullet w(2) \bullet r/(0,2)^\omega}  \\
+        \textcolor{red}{r/(0,0) \bullet w(1) \bullet r/(0,1)^\omega}   \\
+      \end{array}
+    \end{math}
+  \end{columns}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=red!50!black]
+      \input{schemas/localiteetat_hc_2}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    $E'_{p_0} = \{r/(0,0), r/(2,1)^\omega\},$ \newline
+    $r/(0,0) \bullet w(2) \bullet w(1) \bullet r/(2,1)^\omega$  \newline
+    $E'_{p_1} = \{r/(0,1), r/(2,1)^\omega\}$. \newline
+    Il n'existe pas de linéarisation de $p_1$ respectant la localité d'état.
+  \end{columns}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Convergence (EC)}
+
+  \begin{block}{Définition}
+    Il existe un ensemble cofini d'événements dont chacun peut être justifié par un seul et même état. \\
+  \end{block}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=green!50!black]
+      \input{schemas/convergence_hc_1}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    $E' = \{r/(1,2)^\omega, r/(1,2)^\omega\}$ \newline
+    $\delta = ((1,2), \emptyset)$ est un état possible justifiant $E'$.
+  \end{columns}
+
+  \begin{columns}
+    \column{0.4\columnwidth}
+    \begin{tcolorbox}[colframe=red!50!black]
+      \input{schemas/convergence_hc_2}
+    \end{tcolorbox}
+    \column{0.5\columnwidth}
+    $E' = \{r/(1,2)^\omega, r/(2,1)^\omega\}$. \newline
+    Il n'existe aucun état possible justifiant $E'$ puisque deux lectures infinies sont incohérentes.
+  \end{columns}
+\end{frame}
+
+\begin{frame}
+  \frametitle{Cohérence Causale}
+
+  \begin{columns}
+    \column{0.6\textwidth}
+    \resizebox{\columnwidth}{!}{
+      \includegraphics{images/carte_criteres.png}
+    }
+
+    \column{0.4\columnwidth}
+    \begin{block}{Les classes de la cohérence causale}
+      \begin{itemize}
+        \item \textbf{WCC}: Weak Causal Consistency (V)
+        \item \textbf{CCv}: Causal Convergence (V, EC)
+      \end{itemize}
+    \end{block}
+
+    On respecte les propriétés suivantes :
+    \begin{itemize}
+      \item Localité d'état (SL)
+      \item Convergence (EC)
+    \end{itemize}
+  \end{columns}
+\end{frame}
diff --git a/docs/presentations/LIS/vanderlinde/main.tex b/docs/presentations/LIS/vanderlinde/main.tex
new file mode 100755
index 0000000..8dd46a2
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/main.tex
@@ -0,0 +1,58 @@
+\documentclass{beamer}
+\usetheme{Boadilla}
+\usecolortheme{orchid}
+
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage[french]{babel}
+\usepackage{stackengine}
+
+\addtobeamertemplate{navigation symbols}{}{%
+    \usebeamerfont{footline}%
+    \usebeamercolor[fg]{footline}%
+    \hspace{1em}%
+    \insertframenumber/\inserttotalframenumber
+}
+\usepackage{ulem}
+\usepackage{tkz-tab}
+\setbeamertemplate{blocks}[rounded]%
+[shadow=true]
+\AtBeginSection{%
+    \begin{frame}
+        \tableofcontents[sections=\value{section}]
+    \end{frame}
+}
+
+\usepackage{tikz}
+\usetikzlibrary{positioning}
+\usetikzlibrary{calc}
+\usetikzlibrary{arrows.meta}
+
+\usepackage{tcolorbox}
+
+\usepackage{chronosys}
+
+\title[bwconsistency]{Cohérence faible byzantine appliquée au cloud}
+\subtitle{Présentation intermédiaire: "Practical Client-side Replication: Weak Consistency Semantics for Insecure Settings"}
+\author[JOLY Amaury]{JOLY Amaury\\ \textbf{Encadrants :} GODARD Emmanuel, TRAVERS Corentin }
+% \\[2ex] \includegraphics[scale=0.1]{./img/amu.png}
+\institute[LIS, Scille]{LIS-LAB, Scille}
+\date{\today}
+
+\begin{document}
+
+\maketitle
+
+\begin{frame}{Table des matières}
+  \tableofcontents
+\end{frame}
+
+\section{Introduction}
+\input{intro/index.tex}
+
+\input{corps/index.tex}
+
+% \section{Les propriétés de la Cohérence Faible}
+% \input{wconsistence_properties/index.tex}
+
+\end{document}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/ccv_hc_1.png b/docs/presentations/LIS/vanderlinde/schemas/ccv_hc_1.png
new file mode 100755
index 0000000..a115a99
Binary files /dev/null and b/docs/presentations/LIS/vanderlinde/schemas/ccv_hc_1.png differ
diff --git a/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_1.tex b/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_1.tex
new file mode 100755
index 0000000..9217952
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_1.tex
@@ -0,0 +1,41 @@
+\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=35pt of 13] {};
+        \node[above] at (14.north) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+        \draw[arrow] (13) -- (14);
+
+        \node[roundnode] (21) [below=10pt 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=35pt of 23] {};
+        \node[below] at (24.south) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+        \draw[arrow] (23) -- (24);
+
+        \draw (24) -- (14);
+
+        \draw[dashed] ($(14)!0.5!(13) + (0,1)$) -- ++(0, -2.9);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_2.tex b/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_2.tex
new file mode 100755
index 0000000..bd97baa
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/convergence_hc_2.tex
@@ -0,0 +1,41 @@
+\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=35pt of 13] {};
+        \node[above] at (14.north) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+        \draw[arrow] (13) -- (14);
+
+        \node[roundnode] (21) [below=10pt 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=35pt of 23] {};
+        \node[below] at (24.south) {$r/(2,1)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+        \draw[arrow] (23) -- (24);
+
+        \draw (24) -- (14);
+
+        \draw[dashed] ($(14)!0.5!(13) + (0,1)$) -- ++(0, -2.9);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/linearisation_atomicite_hc.tex b/docs/presentations/LIS/vanderlinde/schemas/linearisation_atomicite_hc.tex
new file mode 100755
index 0000000..72e4f57
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/linearisation_atomicite_hc.tex
@@ -0,0 +1,26 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
+        invisible/.style={draw=none, fill=none},
+        ]
+
+        \node[invisible] (10) {};
+        \node[roundedrectangle, minimum width=150pt] (11) [right=100pt of 10] {$w_x(1)$};
+        \node[invisible] (12) [right=100pt of 11] {};
+
+        \node[invisible] (20) [below=15pt of 10] {};
+        \node[roundedrectangle, minimum width=50pt] (21) [right=25pt of 20] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (22) [right=75pt of 21] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (23) [right=75pt of 22] {\textcolor{red}{$r/(1)$}};
+        \node[invisible] (24) [below=15pt of 12] {};
+
+        \node[invisible] (30) [below=15pt of 20] {};
+        \node[roundedrectangle, minimum width=50pt] (31) [right=125pt of 30] {\textcolor{red}{$r/(1)$}};
+        \node[roundedrectangle, minimum width=50pt] (32) [right=40pt of 31] {\textcolor{red}{$r/(1)$}};
+        \node[invisible] (33) [below=15pt of 24] {};
+
+        \draw (10) -- (11) -- (12);
+        \draw (20) -- (21) -- (22) -- (23) -- (24);
+        \draw (30) -- (31) -- (32) -- (33);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/linearisation_regularite_hc.tex b/docs/presentations/LIS/vanderlinde/schemas/linearisation_regularite_hc.tex
new file mode 100755
index 0000000..281227c
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/linearisation_regularite_hc.tex
@@ -0,0 +1,26 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
+        invisible/.style={draw=none, fill=none},
+        ]
+
+        \node[invisible] (10) {};
+        \node[roundedrectangle, minimum width=150pt] (11) [right=100pt of 10] {$w_x(1)$};
+        \node[invisible] (12) [right=100pt of 11] {};
+
+        \node[invisible] (20) [below=15pt of 10] {};
+        \node[roundedrectangle, minimum width=50pt] (21) [right=25pt of 20] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (22) [right=75pt of 21] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (23) [right=75pt of 22] {\textcolor{red}{$r/(1)$}};
+        \node[invisible] (24) [below=15pt of 12] {};
+
+        \node[invisible] (30) [below=15pt of 20] {};
+        \node[roundedrectangle, minimum width=50pt] (31) [right=125pt of 30] {\textcolor{red}{$r/(1)$}};
+        \node[roundedrectangle, minimum width=50pt] (32) [right=40pt of 31] {\textcolor{blue}{$r/(0)$}};
+        \node[invisible] (33) [below=15pt of 24] {};
+
+        \draw (10) -- (11) -- (12);
+        \draw (20) -- (21) -- (22) -- (23) -- (24);
+        \draw (30) -- (31) -- (32) -- (33);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/linearisation_surete_hc.tex b/docs/presentations/LIS/vanderlinde/schemas/linearisation_surete_hc.tex
new file mode 100755
index 0000000..fde5f3a
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/linearisation_surete_hc.tex
@@ -0,0 +1,26 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
+        invisible/.style={draw=none, fill=none},
+        ]
+
+        \node[invisible] (10) {};
+        \node[roundedrectangle, minimum width=150pt] (11) [right=100pt of 10] {$w_x(1)$};
+        \node[invisible] (12) [right=100pt of 11] {};
+
+        \node[invisible] (20) [below=15pt of 10] {};
+        \node[roundedrectangle, minimum width=50pt] (21) [right=25pt of 20] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (22) [right=75pt of 21] {\textcolor{blue}{$r/(0)$}};
+        \node[roundedrectangle, minimum width=50pt] (23) [right=75pt of 22] {\textcolor{red}{$r/(1)$}};
+        \node[invisible] (24) [below=15pt of 12] {};
+
+        \node[invisible] (30) [below=15pt of 20] {};
+        \node[roundedrectangle, minimum width=50pt] (31) [right=125pt of 30] {\textcolor{red!50!blue}{$r/(27)$}};
+        \node[roundedrectangle, minimum width=50pt] (32) [right=40pt of 31] {\textcolor{red}{$r/(1)$}};
+        \node[invisible] (33) [below=15pt of 24] {};
+
+        \draw (10) -- (11) -- (12);
+        \draw (20) -- (21) -- (22) -- (23) -- (24);
+        \draw (30) -- (31) -- (32) -- (33);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_1.tex b/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_1.tex
new file mode 100755
index 0000000..f61f58c
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_1.tex
@@ -0,0 +1,34 @@
+\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, draw=red, fill=red] (11) {};
+        \node[left] at (11.west) {$p_0$};
+        \node[above] at (11.north) {$w(1)$};
+        \node[roundnode, draw=blue, fill=blue] (12) [right=of 11] {};
+        \node[above] at (12.north) {$r/(0,0)$};
+        \node[roundnode, draw=blue, fill=blue] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(0,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode, draw=blue, fill=blue] (21) [below=10pt of 11] {};
+        \node[left] at (21.west) {$p_1$};
+        \node[below] at (21.south) {$w(2)$};
+        \node[roundnode, draw=red, fill=red] (22) [right=of 21] {};
+        \node[below] at (22.south) {$r/(0,0)$};
+        \node[roundnode, draw=red, fill=red] (23) [right=of 22] {};
+        \node[below] at (23.south) {$r/(0,1)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+
+        \draw[message] (11) -- ($(22)!0.5!(23)$);
+        \draw[message] (21) -- ($(12)!0.5!(13)$);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_2.tex b/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_2.tex
new file mode 100755
index 0000000..3998248
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/localiteetat_hc_2.tex
@@ -0,0 +1,32 @@
+\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) {$r/(0,0)$};
+        \node[roundnode] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(0,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode] (21) [below=10pt 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) {$r/(0,1)$};
+        \node[roundnode] (23) [right=of 22] {};
+        \node[below] at (23.south) {$r/(2,1)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/validite_hc_1.tex b/docs/presentations/LIS/vanderlinde/schemas/validite_hc_1.tex
new file mode 100755
index 0000000..1875a6b
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/validite_hc_1.tex
@@ -0,0 +1,31 @@
+\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) {$r/(0,1)$};
+        \node[roundnode] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(2,1)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode] (21) [below=10pt 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) {$r/(0,2)$};
+        \node[roundnode] (23) [right=of 22] {};
+        \node[below] at (23.south) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/validite_hc_2.tex b/docs/presentations/LIS/vanderlinde/schemas/validite_hc_2.tex
new file mode 100755
index 0000000..4aaec99
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/validite_hc_2.tex
@@ -0,0 +1,31 @@
+\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) {$r/(0,1)$};
+        \node[roundnode] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(0,1)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode] (21) [below=10ptof 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) {$r/(0,2)$};
+        \node[roundnode] (23) [right=of 22] {};
+        \node[below] at (23.south) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_1.tex b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_1.tex
new file mode 100755
index 0000000..839acb3
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_1.tex
@@ -0,0 +1,42 @@
+\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, color=red] (11) {};
+        \node[above] at (11.north) {$w(1)$};
+        \node[roundnode, color=red!50] (12) [right=of 11] {};
+        \node[above] at (12.north) {$r/(0,1)$};
+        \node[roundnode, color=red!25] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(3,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode, color=green!75!black] (21) [below=20pt of 11] {};
+        \node[left] at (21.west) {$r/(3,1)$};
+        \node[roundnode, color=green!95!black] (22) [right=of 21] {};
+        \node[right] at (22.east) {$w(2)$};
+
+        \draw[arrow] (21) -- (22);
+
+        \node[roundnode, color=blue] (31) [below=20pt of 21] {};
+        \node[below] at (31.south) {$w(3)$};
+        \node[roundnode, color=blue!50] (32) [right=of 31] {};
+        \node[below] at (32.south) {$r/(3,1)$};
+        \node[roundnode, color=blue!25] (33) [right=of 32] {};
+        \node[below] at (33.south) {$r/(3,2)^\omega$};
+
+        \draw[arrow] (31) -- (32);
+        \draw[arrow] (32) -- (33);
+
+        \draw[message] (11) -- (21);
+        \draw[message] (31) -- (21);
+        \draw[message] (21) -- (32);
+        \draw[message] (22) -- (13);
+        \draw[message] (22) -- (33);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_2.tex b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_2.tex
new file mode 100755
index 0000000..1651ec2
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_2.tex
@@ -0,0 +1,29 @@
+\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[above] at (11.north) {$w(1)$};
+        \node[roundnode] (12) [right=of 11] {};
+        \node[above] at (12.north) {$r/(2,1)$};
+        \node[roundnode] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(2,1)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode] (21) [below=20pt of 11] {};
+        \node[left] at (21.west) {$r/(0,1)$};
+        \node[roundnode] (22) [right=of 21] {};
+        \node[right] at (22.east) {$w(2)$};
+
+        \draw[arrow] (21) -- (22);
+
+        \draw[message] (11) -- (21);
+        \draw[message] (22) -- (12);
+    \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_3.tex b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_3.tex
new file mode 100755
index 0000000..6b109f9
--- /dev/null
+++ b/docs/presentations/LIS/vanderlinde/schemas/wcc_hc_3.tex
@@ -0,0 +1,41 @@
+\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, color=red] (11) {};
+        \node[above] at (11.north) {$w(1)$};
+        \node[roundnode, color=red!50] (12) [right=of 11] {};
+        \node[above] at (12.north) {$r/(3,1)$};
+        \node[roundnode, color=red!25] (13) [right=of 12] {};
+        \node[above] at (13.north) {$r/(1,2)^\omega$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode, color=green!75!black] (21) [below=20pt of 11] {};
+        \node[left] at (21.west) {$r/(0,0)$};
+        \node[roundnode, color=green!95!black] (22) [right=of 21] {};
+        \node[right] at (22.east) {$w(2)$};
+
+        \draw[arrow] (21) -- (22);
+
+        \node[roundnode, color=blue] (31) [below=20pt of 21] {};
+        \node[below] at (31.south) {$w(3)$};
+        \node[roundnode, color=blue!50] (32) [right=of 31] {};
+        \node[below] at (32.south) {$r/(1,3)$};
+        \node[roundnode, color=blue!25] (33) [right=of 32] {};
+        \node[below] at (33.south) {$r/(3,2)^\omega$};
+
+        \draw[arrow] (31) -- (32);
+        \draw[arrow] (32) -- (33);
+
+        \draw[message] (11) -- (31);
+        \draw[message] (31) -- (12);
+        \draw[message] (22) -- (13);
+        \draw[message] (22) -- (33);
+    \end{tikzpicture}
+}
\ No newline at end of file
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