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diff --git a/doc/talks/2023-01-18-tocatta/talk.tex b/doc/talks/2023-01-18-tocatta/talk.tex
index 566f56ec..ac9b4077 100644
--- a/doc/talks/2023-01-18-tocatta/talk.tex
+++ b/doc/talks/2023-01-18-tocatta/talk.tex
@@ -8,6 +8,7 @@
\usepackage{multirow}
\usetheme{boxes}
\usepackage{graphicx}
+\usepackage{import}
\usepackage{adjustbox}
%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
@@ -479,33 +480,185 @@
\section{Problem 2: ensuring consistency}
-%\begin{frame}
-% \frametitle{Garage's architecture}
-% \begin{center}
-% \includegraphics[width=.35\linewidth]{assets/garage.drawio.pdf}
-% \end{center}
-%\end{frame}
+\begin{frame}
+ \frametitle{Consensus vs weak consistency}
+
+ \hspace{1em}
+ \begin{minipage}{7cm}
+ \textbf{Consensus-based systems:}
+ \vspace{1em}
+ \begin{itemize}
+ \item \textbf{Leader-based:} a leader is elected to coordinate
+ all reads and writes
+ \vspace{1em}
+ \item \textbf{Linearizability} of all operations\\
+ (strongest consistency guarantee)
+ \vspace{1em}
+ \item \textbf{Replicated state machines} that can implement
+ any sequential specification
+ \vspace{1em}
+ \item \textbf{Costly}, the leader is a bottleneck;
+ leader elections on failure take time
+ \end{itemize}
+ \end{minipage}
+ \hfill
+ \begin{minipage}{7cm} \visible<2->{
+ \textbf{Weakly consistent systems:}
+ \vspace{1em}
+ \begin{itemize}
+ \item \textbf{Nodes are equivalent}, any node
+ can originate a read or write operation
+ \vspace{1em}
+ \item \textbf{Read-after-write consistency} with quorums,
+ eventual consistency without
+ \vspace{1em}
+ \item \textbf{Operations have to commute}, i.e.~we
+ can only implement CRDTs
+ \vspace{1em}
+ \item \textbf{Fast}, no node is a bottleneck;\\
+ works the same with offline nodes
+ \end{itemize}
+ } \end{minipage}
+ \hspace{1em}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Consensus vs weak consistency}
+ \begin{center}
+ \textbf{The same objects cannot be implemented in both models.}
+ \end{center}
+ \vspace{2em}
+
+ \hspace{1em}
+ \begin{minipage}{7cm}
+ \underline{Consensus-based systems:}
+
+ \vspace{1em}
+
+ \textbf{Any sequential specification}\\~
+ \end{minipage}
+ \hfill
+ \begin{minipage}{7cm}
+ \underline{Weakly consistent systems:}
+
+ \vspace{1em}
+
+ \textbf{CRDTs only}\\(conflict-free replicated data types)
+ \end{minipage}
+ \hspace{1em}
+
+ \vspace{3em}
+ \begin{center}
+ Part of the complexity is \textbf{reported to the consumer of the API}
+ \end{center}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Consensus vs weak consistency}
+ \begin{center}
+ \textbf{From a theoretical point of view:}\\
+
+ \end{center}
+ \vspace{2em}
+
+ \hspace{1em}
+ \begin{minipage}{6.5cm}
+ \underline{Consensus-based systems:}
+
+ \vspace{1em}
+
+ Require \textbf{additionnal assumptions} such as a fault detector or a strong RNG\\~
+ \end{minipage}
+ \hfill
+ \begin{minipage}{6.5cm}
+ \underline{Weakly consistent systems:}
+
+ \vspace{1em}
+
+ Can be implemented in \textbf{any asynchronous message passing distributed system}
+ \end{minipage}
+ \hspace{1em}
+
+ \vspace{3em}
+ \begin{center}
+ They represent \textbf{different classes of computational capability}
+ \end{center}
+\end{frame}
\begin{frame}
- \frametitle{Garage is \emph{coordination-free}:}
+ \frametitle{Understanding the power of consensus}
+ \textbf{Consensus:} an API with a single operation, $propose(x)$
+ \begin{enumerate}
+ \item nodes all call $propose(x)$ with their proposed value;
+ \item nodes all receive the same value as a return value, which is one of the proposed values
+ \end{enumerate}
+ \vspace{1em}
+
+ \visible<2->{
+ \textbf{Equivalent to} a distributed algorithm that gives a total order on all requests
+ }
+ \vspace{1em}
+
+ \visible<3->{
+ \textbf{Implemented by} this simple replicated state machine:
+ \vspace{.5em}
+ \begin{figure}
+ \centering
+ \def\svgwidth{.5\textwidth}
+ \large
+ \import{assets/}{consensus.pdf_tex}
+ \end{figure}
+ \vspace{1em}
+ }
+\end{frame}
+
+\begin{frame}
+ \frametitle{Can my object be implemented without consensus?}
+ \underline{Given the specification of an API:}
+ \vspace{2em}
\begin{itemize}
- \item No Raft or Paxos
- \vspace{1em}
- \item Internal data types are CRDTs
+ \item \textbf{Using this API, we can implement the consensus object} (the $propose$ function)\\
+ $\to$ the API is equivalent to consensus/total ordering of messages\\
+ $\to$ the API cannot be implemented in a weakly consistent system
+ \vspace{2em}
+ \item \textbf{This API can be implemented using only weak primitives}\\
+ (e.g. a bunch of atomic registers)\\
+ $\to$ the API is strictly weaker than consensus\\
+ $\to$ we can implement it in Garage!
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Why avoid consensus?}
+ Consensus can be implemented reasonably well in practice, so why avoid it?
+ \vspace{2em}
+ \begin{itemize}
+ \item \textbf{Software complexity:} RAFT and PAXOS are complex beasts;\\
+ harder to prove, harder to reason about
+ \vspace{1.5em}
+ \item \textbf{Performance issues:}
\vspace{1em}
- \item All nodes are equivalent (no master/leader/index node)
+ \begin{itemize}
+ \item The leader is a \textbf{bottleneck} for all requests
+ \vspace{1em}
+ \item Particularly \textbf{sensitive to higher latency} between nodes
+ \end{itemize}
\end{itemize}
- \vspace{2em}
- $\to$ less sensitive to higher latencies between nodes
\end{frame}
\begin{frame}
- \frametitle{Consistency model}
+ \frametitle{What can we implement without consensus?}
\begin{itemize}
- \item Not ACID (not required by S3 spec) / not linearizable
+ \item Any \textbf{conflict-free replicated data type} (CRDT)
+ \vspace{1em}
+ \item Non-transactional key-value stores such as S3 are equivalent to a simple CRDT:\\
+ a \textbf{last-writer-wins registry}
+ \vspace{1em}
+ \item \textbf{Read-after-write consistency} can be implemented
+ using quorums on read and write operations
\vspace{1em}
- \item \textbf{Read-after-write consistency}\\
- {\footnotesize (stronger than eventual consistency)}
+ \item \textbf{Monotonicity of reads} can be implemented with repair-on-read\\
+ (makes reads more costly, not implemented in Garage)
\end{itemize}
\end{frame}