diff --git a/main.tex b/main.tex
index a78616599ac8f77c77e1effa78c9aacb91a415dd..7ffa3fade9269505c492b0ca527041ff1869e7c3 100644
--- a/main.tex
+++ b/main.tex
@@ -6,6 +6,8 @@
 
 \newcommand{\expreg}{exp-regular\xspace}
 \newcommand{\Expreg}{Exp-regular\xspace}
+
+
 \newcommand{\mso}{\textsf{MSO}\xspace}
 \newcommand{\fo}{\textsf{FO}\xspace}
 \newcommand{\msot}{\textsf{MSO-T}\xspace}
@@ -15,11 +17,17 @@
 \newcommand{\msomi}{\textsf{MSO-MI}\xspace}
 \newcommand{\fomi}{\textsf{FO-MI}\xspace}
 \newcommand{\nmsomi}{\textsf{NMSO-MI}\xspace}
-\newcommand{\rev}{\textsf{rev}\xspace}
+
 
 \newcommand{\sst}{\textsf{SST}\xspace}
+\newcommand{\mt}{\textsf{MT}\xspace}
+\newcommand{\ipt}{\textsf{IPT}\xspace}
 \newcommand{\mtt}{\textsf{MTT}\xspace}
 
+\newcommand{\rev}{\textsf{rev}\xspace}
+
+
+
 \newcommand{\dlin}{\textsc{DLinSpace}\xspace}
 
 \newcommand{\ssign}{\mathfrak{S}}
@@ -280,7 +288,10 @@ The \emph{initial configuration} of $\auta$ over $v$ is the word $(q_0,1)$. Give
 \item in all other cases, $c'$ is not defined
 \end{itemize}
 
+\begin{question}
 
+Does $\ipt=\mt\circ\msot$ hold?
+\end{question}
 \section{Some remaining questions}
 
 \subsection{Expressiveness}
@@ -300,7 +311,7 @@ The \emph{initial configuration} of $\auta$ over $v$ is the word $(q_0,1)$. Give
       they capture \msomi  ?
     \item recursive programming language corresponding or being
       captured by \msomi ?
-	\item Krohn-Rhodes like decomposition \eg $\mathsf{polyreg}\circ \mathsf{exp} \circ \mathsf{reg}$, with $\mathsf{exp}$ being some simple class of exponential growth function.
+	\item Krohn-Rhodes like decomposition \eg $\msoi\circ \mathsf{exp} \circ \msot$, with $\mathsf{exp}$ being some simple class of exponential growth function.
 \end{itemize}