rajout de notes + debut beamer

docs/.gitignore

@@ -0,0 +1,290 @@
+## Core latex/pdflatex auxiliary files:
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+*.fmt
+*.fot
+*.cb
+*.cb2
+.*.lb
+
+## Intermediate documents:
+*.dvi
+*.xdv
+*-converted-to.*
+# these rules might exclude image files for figures etc.
+# *.ps
+# *.eps
+# *.pdf
+
+## Generated if empty string is given at "Please type another file name for output:"
+.pdf
+
+## Bibliography auxiliary files (bibtex/biblatex/biber):
+*.bbl
+*.bcf
+*.blg
+*-blx.aux
+*-blx.bib
+*.run.xml
+
+## Build tool auxiliary files:
+*.fdb_latexmk
+*.synctex
+*.synctex(busy)
+*.synctex.gz
+*.synctex.gz(busy)
+*.pdfsync
+
+## Build tool directories for auxiliary files
+# latexrun
+latex.out/
+
+## Auxiliary and intermediate files from other packages:
+# algorithms
+*.alg
+*.loa
+
+# achemso
+acs-*.bib
+
+# amsthm
+*.thm
+
+# beamer
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# changes
+*.soc
+
+# comment
+*.cut
+
+# cprotect
+*.cpt
+
+# elsarticle (documentclass of Elsevier journals)
+*.spl
+
+# endnotes
+*.ent
+
+# fixme
+*.lox
+
+# feynmf/feynmp
+*.mf
+*.mp
+*.t[1-9]
+*.t[1-9][0-9]
+*.tfm
+
+#(r)(e)ledmac/(r)(e)ledpar
+*.end
+*.?end
+*.[1-9]
+*.[1-9][0-9]
+*.[1-9][0-9][0-9]
+*.[1-9]R
+*.[1-9][0-9]R
+*.[1-9][0-9][0-9]R
+*.eledsec[1-9]
+*.eledsec[1-9]R
+*.eledsec[1-9][0-9]
+*.eledsec[1-9][0-9]R
+*.eledsec[1-9][0-9][0-9]
+*.eledsec[1-9][0-9][0-9]R
+
+# glossaries
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+*.glsdefs
+*.lzo
+*.lzs
+
+# uncomment this for glossaries-extra (will ignore makeindex's style files!)
+# *.ist
+
+# gnuplottex
+*-gnuplottex-*
+
+# gregoriotex
+*.gaux
+*.glog
+*.gtex
+
+# htlatex
+*.4ct
+*.4tc
+*.idv
+*.lg
+*.trc
+*.xref
+
+# hyperref
+*.brf
+
+# knitr
+*-concordance.tex
+# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files
+# *.tikz
+*-tikzDictionary
+
+# listings
+*.lol
+
+# luatexja-ruby
+*.ltjruby
+
+# makeidx
+*.idx
+*.ilg
+*.ind
+
+# minitoc
+*.maf
+*.mlf
+*.mlt
+*.mtc[0-9]*
+*.slf[0-9]*
+*.slt[0-9]*
+*.stc[0-9]*
+
+# minted
+_minted*
+*.pyg
+
+# morewrites
+*.mw
+
+# newpax
+*.newpax
+
+# nomencl
+*.nlg
+*.nlo
+*.nls
+
+# pax
+*.pax
+
+# pdfpcnotes
+*.pdfpc
+
+# sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# scrwfile
+*.wrt
+
+# sympy
+*.sout
+*.sympy
+sympy-plots-for-*.tex/
+
+# pdfcomment
+*.upa
+*.upb
+
+# pythontex
+*.pytxcode
+pythontex-files-*/
+
+# tcolorbox
+*.listing
+
+# thmtools
+*.loe
+
+# TikZ & PGF
+*.dpth
+*.md5
+*.auxlock
+
+# todonotes
+*.tdo
+
+# vhistory
+*.hst
+*.ver
+
+# easy-todo
+*.lod
+
+# xcolor
+*.xcp
+
+# xmpincl
+*.xmpi
+
+# xindy
+*.xdy
+
+# xypic precompiled matrices and outlines
+*.xyc
+*.xyd
+
+# endfloat
+*.ttt
+*.fff
+
+# Latexian
+TSWLatexianTemp*
+
+## Editors:
+# WinEdt
+*.bak
+*.sav
+
+# Texpad
+.texpadtmp
+
+# LyX
+*.lyx~
+
+# Kile
+*.backup
+
+# gummi
+.*.swp
+
+# KBibTeX
+*~[0-9]*
+
+# TeXnicCenter
+*.tps
+
+# auto folder when using emacs and auctex
+./auto/*
+*.el
+
+# expex forward references with \gathertags
+*-tags.tex
+
+# standalone packages
+*.sta
+
+# Makeindex log files
+*.lpz
+
+# xwatermark package
+*.xwm
+
+# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib
+# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
+# Uncomment the next line to have this generated file ignored.
+#*Notes.bib
+
+# End of https://mrkandreev.name/snippets/gitignore-generator/#LaTeX

docs/présentation_consistence_faible/main.tex

@@ -0,0 +1,52 @@
+\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}
+
+\title[bwconsistency]{Consistence faible byzantine appliquée au cloud}
+\subtitle{Présentation intermédiaire: Consistence faible}
+\author[JOLY Amaury]{JOLY Amaury\\ \textbf{Encadrants :} G, LABOUREL Arnaud }
+% \\[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{introduction/index.tex}
+
+\section{Les propriétés de la Consistence faibes}
+\input{wconsitence_properties/index.tex}
+
+\end{document}

docs/présentation_consistence_faible/script.md

@@ -10,4 +10,18 @@
 3. Introduire le concept de cohérence faible
    - exemple: application distribuée décentralisé
 4. Définir les propriétés d'un système réparti
-5. (?) Présenter les concepts de modélisations (histoires concurrentes)
+5. Definir les differents modèles de cohérence faible (des plus trivial aux moins)
+   1. Cohérence Séquentielle (SC)
+   2. Linéarisibilité -> Serialisabilité
+   3. Convergence/Convergence Forte
+      1. Définit le concepts de convergence
+      2. Pourquoi ? + les apports de la convergence forte
+      3. Types de données basés sur la convergence (poruquoi ?)
+   4. Cohérence Pipeline
+      1. On présente la notion d'Intention
+      2. On l'oppose à la cohérence Pipeline
+
+6. Cohérence d'écriure
+   1. Ce que ne couvre pas les modèles précedents
+   2. Cohérence d'écriture et cohérence d'écriure forte.
+

docs/présentation_consistence_faible/wconsistency_properties/convergence_hc.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) {$r/(1,2)^w$};
+
+        \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=35pt of 23] {};
+        \node[below] at (24.south) {$r/(1,2)^w$};
+
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+        \draw[dashed] ($(14)!0.5!(13) + (0,1)$) -- ++(0, -3.5);
+    \end{tikzpicture}
+}

docs/présentation_consistence_faible/wconsistency_properties/index.tex

@@ -0,0 +1,144 @@
+\begin{frame}
+    \frametitle{Linéarisation}
+    % \begin{itemize}
+    % \end{itemize}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Sureté}
+    \begin{block}{Définition}
+        Toute lécture réalisé dans un même environement non-concurrent est identique.
+    \end{block}
+    \begin{figure}
+        \include{wconsitence_properties/linearisation_surete_hc}
+    \end{figure}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Régularité}
+    \begin{block}{Définition}
+        Une lécture concurrente à une écriture peut lire soit la valeur avant l'écriture, soit la valeur après l'écriture.
+    \end{block}
+    \begin{figure}              
+        \include{wconsitence_properties/linearisation_regularite_hc}
+    \end{figure}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Atomicité}
+    \begin{block}{Définition}
+        Une lécture concurrente à une écriture peut lire soit la valeur avant l'écriture, soit la valeur après l'écriture.
+    \end{block}
+    \begin{figure}              
+        \include{wconsitence_properties/linearisation_atomicite_hc}
+    \end{figure}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Convergence (EC)}
+
+    \begin{columns}
+        \column{0.4\textwidth}
+        \include{wconsitence_properties/convergence_hc}%
+        \column{0.5\textwidth}
+        Il existe un ensemble cofini d'évenements dont chacun peut être justifier par la même linéarisation. \\
+        \begin{math}
+            \begin{array}{ll}
+                e.g.: & E' = \{r/(1,2)^w, r/(1,2)^w\}                        \\
+                      & w(1) \bullet w(2) \bullet \textcolor{red}{r/(1,2)^w} \\
+            \end{array}
+        \end{math}
+    \end{columns}
+
+
+    \begin{flushright}
+        \begin{math}
+            EC = \left\{
+            \begin{array}{l}
+                \mathcal{T} \rightarrow \mathcal{P}(\mathcal{H}) \\
+                T \rightarrow \left\{
+                \begin{array}{lll}
+                    H \in \mathcal{H}: & \multicolumn{2}{l}{|U_{T,H}| = \infty}                                                                                  \\
+                                       & \lor                                   & \exists E' \subset E_H, |E_H \setminus E'| < \infty                            \\
+                                       &                                        & \land \displaystyle\bigcap_{e \in E'} \delta_T^{-1}(\lambda(e)) \neq \emptyset \\
+                \end{array}
+                \right.                                          \\
+            \end{array}
+            \right.
+        \end{math}
+    \end{flushright}
+\end{frame}
+
+
+\begin{frame}
+    \frametitle{Validité (V)}
+
+    \begin{columns}
+        \column{0.4\textwidth}
+        \include{wconsitence_properties/validite_hc}
+        \column{0.6\textwidth}
+        Il existe, un ensemble cofini d'évenement tels que pour chacun d'entre eux une linéarisations de toutes les opérations d'écriture les justifient. \\
+        \begin{math}
+            \begin{array}{ll}
+                e.g.: & E' = \{r/(2,1)^w, r/(1,2)^w\}                        \\
+                      & w(2) \bullet w(1) \bullet \textcolor{red}{r/(2,1)^w} \\
+                      & w(1) \bullet w(2) \bullet \textcolor{red}{r/(1,2)^w} \\
+            \end{array}
+        \end{math}
+    \end{columns}
+
+
+    \begin{flushright}
+        \begin{math}
+            V = \left\{
+            \begin{array}{l}
+                \mathcal{T} \rightarrow \mathcal{P}(\mathcal{H}) \\
+                T \rightarrow \left\{
+                \begin{array}{lll}
+                    H \in \mathcal{H}: & \multicolumn{2}{l}{|U_{T,H}| = \infty}                                                                       \\
+                                       & \lor                                   & \exists E' \subset E_H, (|E_H \setminus E'| < \infty                \\
+                                       &                                        & \land \forall e \in E', lin(H[E_H / {e}]) \cap L(T) \neq \emptyset) \\
+                \end{array}
+                \right.                                          \\
+            \end{array}
+            \right.
+        \end{math}
+    \end{flushright}
+\end{frame}
+
+\begin{frame}
+    \frametitle{Localité d'état (LS)}
+
+    \begin{columns}
+        \column{0.4\textwidth}
+        \include{wconsitence_properties/localiteetat_hc}
+        \column{0.6\textwidth}
+        Pour tout processus $p$, il existe une linéarisation contenant toutes les lectures pures de $p$ rendant l'histoire cohérente. \\
+        \begin{math}
+            \begin{array}{ll}
+                e.g.: & \textcolor{blue}{C_{p_1} = \{r/(0,0), r/(0,2)^w, w(2)\}}, \\
+                      & \textcolor{red}{C_{p_2} = \{r/(0,0), r/(0,1)^w, w(1)\}},  \\
+                      & \textcolor{blue}{r/(0,0) \bullet w(2) \bullet r/(0,2)^w}  \\
+                      & \textcolor{red}{r/(0,0) \bullet w(1) \bullet r/(0,1)^w}   \\
+            \end{array}
+        \end{math}
+    \end{columns}
+
+
+    \begin{flushright}
+        \begin{math}
+            LS = \left\{
+            \begin{array}{l}
+                \mathcal{T} \rightarrow \mathcal{P}(\mathcal{H}) \\
+                T \rightarrow \left\{
+                \begin{tabular}{lll}
+                    $H \in \mathcal{H}:$ & \multicolumn{2}{l}{$\forall p \in \mathcal{P}_H, \exists C_p \subset E_H,$}                                                       \\
+                                         &                                                                             & $\hat{Q}_{T,H} \subset C_p$                         \\
+                                         & $\land$                                                                     & $lin(H[p \cap C_p / C_p]) \cap L(T) \neq \emptyset$ \\
+                \end{tabular}
+                \right.                                          \\
+            \end{array}
+            \right.
+        \end{math}
+    \end{flushright}
+\end{frame}

docs/présentation_consistence_faible/wconsistency_properties/linearisation_atomicite_hc.tex

@@ -0,0 +1,31 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
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+        ]
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+        \node[roundedrectangle] (22) [right=50pt of 21] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[roundedrectangle] (23) [right=15pt of 22] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[roundedrectangle] (24) [right=10pt of 23] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[roundedrectangle] (25) [right=20pt of 24] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[invisible] (26) [below=15pt of 13] {};
+
+        \node[invisible] (30) [below=15pt of 20] {};
+        \node[roundedrectangle] (31) [right=30pt of 30] {\textcolor{blue}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (32) [right=55pt of 31] {\textcolor{blue}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (33) [right=15pt of 32] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[roundedrectangle] (34) [right=25pt of 33] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[invisible] (35) [below=15pt of 26] {};
+
+        \draw (10) -- (11) -- (12) -- (13);
+        \draw (20) -- (21) -- (22) -- (23) -- (24) -- (25) -- (26);
+        \draw (30) -- (31) -- (32) -- (33) -- (34) -- (35);
+    \end{tikzpicture}
+}

docs/présentation_consistence_faible/wconsistency_properties/linearisation_regularite_hc.tex

@@ -0,0 +1,23 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
+        invisible/.style={draw=none, fill=none},
+        ]
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+        \node[invisible] (13) [right=100pt of 12] {};
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+        \node[invisible] (20) [below=15pt of 10] {};
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+        \node[roundedrectangle] (23) [right=15pt of 22] {\textcolor{blue!70}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (24) [right=10pt of 23] {\textcolor{blue!70}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (25) [right=20pt of 24] {\textcolor{red}{$r_x/(0,1)$}};
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+
+        \draw (10) -- (11) -- (12) -- (13);
+        \draw (20) -- (21) -- (22) -- (23) -- (24) -- (25) -- (26);
+    \end{tikzpicture}
+}

docs/présentation_consistence_faible/wconsistency_properties/linearisation_surete_hc.tex

@@ -0,0 +1,22 @@
+\resizebox{\columnwidth}{!}{%
+    \begin{tikzpicture}[
+        roundedrectangle/.style={draw, rounded corners, rectangle, minimum height=10pt, minimum width=20pt},
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+        \node[invisible] (13) [right=65pt of 12] {};
+
+        \node[invisible] (20) [below=15pt of 10] {};
+        \node[roundedrectangle] (21) [right=20pt of 20] {\textcolor{blue}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (22) [right=25pt of 21] {\textcolor{blue}{$r_x/(0,0)$}};
+        \node[roundedrectangle] (23) [right=30pt of 22] {\textcolor{black!70}{$r_x/(?)$}};
+        \node[roundedrectangle] (24) [right=55pt of 23] {\textcolor{red}{$r_x/(0,1)$}};
+        \node[invisible] (25) [below=15pt of 13] {};
+
+        \draw (10) -- (11) -- (12) -- (13);
+        \draw (20) -- (21) -- (22) -- (23) -- (24) -- (25);
+    \end{tikzpicture}
+}

docs/présentation_consistence_faible/wconsistency_properties/localiteetat_hc.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,},
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+    \end{tikzpicture}
+}

docs/présentation_consistence_faible/wconsistency_properties/validite_hc.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) {$r/(0,2)^w$};
+
+        \draw[arrow] (11) -- (12);
+        \draw[arrow] (12) -- (13);
+
+        \node[roundnode, draw=blue, fill=blue] (21) [below=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) {$r/(0,1)^w$};
+
+        \draw[arrow] (21) -- (22);
+        \draw[arrow] (22) -- (23);
+
+        \draw[message] (11) -- ($(22)!0.5!(23)$);
+        \draw[message] (21) -- ($(12)!0.5!(13)$);
+    \end{tikzpicture}
+}