Commit 8aad1acb authored by Guillaume GENESTIER's avatar Guillaume GENESTIER

Majuscules

parent 637778a9
......@@ -294,7 +294,7 @@ def sum : (n: Nat) -> F n
\newcommand{\ens}[1]{\left\{#1\right\}}
\newcommand{\enscond}[2]{\ens{\left.\vphantom{#2}#1\right|#2}}
\section{Termination criterion}
\section{Termination Criterion}
\begin{frame}\frametitle{Main Goal}
......@@ -303,7 +303,7 @@ def sum : (n: Nat) -> F n
\LARGE If $\Gamma\vdash t:T$, then $t\in\mathrm{SN}(\to_{\beta\mathcal{R}})$.
\end{frame}
\subsection{Logical relation}
\subsection{Logical Relations}
\begin{frame}\frametitle{Logical Relations}
\begin{block}{Goal}
......@@ -394,7 +394,7 @@ $\color{red}{(3)}$ append _ (cons x p l) q m $\color{red}{>}$ p + q
\end{frame}
\begin{frame}[fragile]\frametitle{Call-graph: Example}
\begin{frame}[fragile]\frametitle{Call-Graph: Example}
\begin{lstlisting}[mathescape=true]
def plus : Nat -> Nat -> Nat.
set infix "+" := plus.
......@@ -423,15 +423,15 @@ def append: (p: Nat) -> List p ->
\end{center}
\end{frame}
\subsection{Well-structuring}
\subsection{Well-Structuring}
\begin{frame}\frametitle{Well-structuring}
\begin{frame}\frametitle{Well-Structuring}
\begin{block}{}
$\succeq$ quasi-order on the signature compatible with rewriting and typing.
\end{block}
\begin{definition}[Well-structured system]\label{def-well-struct}
\begin{definition}[Well-Structured System]\label{def-well-struct}
$\mathcal{R}$ is \emph{well-structured} if for all rule $(\Delta,f\,\bar l\to r)$,
with $\Theta_f=\Pi(\bar x:\bar T).U$,
we have $\Delta\vdash_{\!\!\preceq f} r:U[\bar x\to \bar l]$.
......@@ -475,7 +475,7 @@ def append: (p: Nat) -> List p ->
\subsection{Size-Change Termination}
\begin{frame}[fragile]\frametitle{Call-graph: Example}
\begin{frame}[fragile]\frametitle{Call-Graph: Example}
\begin{lstlisting}[mathescape=true]
def plus : Nat -> Nat -> Nat.
set infix "+" := plus.
......
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