Still better?

seminaire.tex

@@ -295,17 +295,17 @@
     \frametitle{\insertsubsection{} -- 2$^\text{nd}$ iteration}
     \begin{ccode}
         int i = 0;        // $i \in [0, 0]$
-        while(i < 1000) { // $i \in [0, 1] = [0, 0] \cup^\sharp [1, 1]$
+        while(i < 1000) { // $i \in [0, 0] \cup^\sharp [1, 1] = [0, 1]$
             i = i + 1;    // $i \in [1, 2]$
         }
     \end{ccode}
 \end{frame}
 
 \begin{frame}[fragile]
-    \frametitle{\insertsubsection{} -- 3$^\text{nd}$ iteration}
+    \frametitle{\insertsubsection{} -- 3$^\text{rd}$ iteration}
     \begin{ccode}
         int i = 0;        // $i \in [0, 0]$
-        while(i < 1000) { // $i \in [0, 2] = [0, 1] \cup^\sharp[1,2]$
+        while(i < 1000) { // $i \in [0, 1] \cup^\sharp[1,2] = [0, 2]$
             i = i + 1;    // $i \in [1, 3]$
         }
     \end{ccode}
@@ -379,7 +379,7 @@
     \frametitle{\insertsubsection{} -- 2$^\text{nd}$ iteration}
     \begin{ccode}
     int i = 0;
-    while(i < 1000) { // $i \in [0, +\infty] = [0, 0] \nabla [1, 1]$
+    while(i < 1000) { // $i \in [0, 0] \nabla [1, 1] = [0, +\infty]$
         i = i + 1;    // $i \in [1, +\infty] = [1, 999] \cup^\sharp [1000, +\infty]$
     }                 // $i \in [1000, +\infty]$
     \end{ccode}
@@ -397,7 +397,7 @@
     
     \vfill
     
-    We can stiff refine the invariant a posteriori.
+    We can still refine the invariant a posteriori.
 \end{frame}
 
 \section{Past and future}
@@ -420,7 +420,7 @@
     Bad things:
     \begin{itemize}
         \item Incompleteness
-        \item A lot of work if current domains are not powerful enough
+        \item A lot of work if existing domains are not powerful enough
         \item Some properties are very difficult to prove with this method
     \end{itemize}
 \end{frame}
@@ -436,7 +436,7 @@
     
     \vfill
     
-    Properties are not visible from C (check some CPU's registers, mainly): inline assembly $\Ra$ analyze assembly. Impacts everything.
+    Properties are not visible from C (about CPU state, mainly): inline assembly $\Ra$ analyze assembly. Impacts everything.
 \end{frame}