diff --git a/thesis/Abschlussarbeit.tex b/thesis/Abschlussarbeit.tex
index e28969c..7d0fc5e 100644
--- a/thesis/Abschlussarbeit.tex
+++ b/thesis/Abschlussarbeit.tex
@@ -216,11 +216,22 @@ The EdDSA signature scheme is defined using a twisted Edwards curve. Twisted Edw
 
 \section{The Security of EdDSA in a Single-User Setting}
 
+This section takes a look at the single-user security of EdDSA. This is done by showing the UF-CMA security of EdDSA assuming the security of a special version of the DLog problem. This special version is derived from the key generation procedure. Section \ref{sec:dlog'} provides a concrete bound on the security of this version of the DLog problem.
+
+% TODO: Ichform?
+% TODO: richtige Richtung?
+% TODO: "onto which I will reduce the UF-NMA security" kann man das so schreiben?
+The proof starts by replacing some calls to hash function $H$ with calls to a pseudo random function and pseudo random generator. After replacing some calls to the hash function I show that the UF-CMA security of EdDSA implies UF-NMA security of EdDSA in the Random Oracle Model. Next I  introduce an intermediate game on which I will reduce the UF-NMA security. At last I will show that this intermediate game implies security regarding the special version of the DLog problem.
+
+\subsection{UF-CMA $=>$ UF-NMA (ROM)}
+
+
+
 \section{The Security of EdDSA in a Multi-User Setting}
 
 \section{The Ed-GGM}
 
-\subsection{Bounds on Dlog'}
+\subsection{Bounds on Dlog'} \label{sec:dlog'}
 
 \subsection{Bounds on OMDlog'}