diff --git a/Comparison.tex b/Comparison.tex
index 2393ae02228fe847cd8673dd47fd5ef5a9985086..dd78ee3cae456b03a0f5d3a7c67025e2d7b220c9 100644
--- a/Comparison.tex
+++ b/Comparison.tex
@@ -1,9 +1,14 @@
-\section{A Joint Perspective and Generalization of Jupyther and Active
+\section{A Joint Perspective and Generalization of Jupyter and Active
   Documents}\label{sec:comparison}
 
-We will now highlight the features of the ADP and Jupyther notebooks with a view towards a
+We will now highlight the features of the ADP and Jupyter notebooks with a view towards a
 possible unification of the systems.
 
+\begin{figure}[ht]
+  \input{ActDocRepresentation}
+  \caption{Active Documents}\label{fig:graph2}
+\end{figure}
+
 \emph{Active Documents} need a Player process (e.g. the Planetary system) that makes them
 executable, gives access to provenance and copyright/licensing information, and supports
 various forms of validation. Figure~\ref{fig:graph2} shows the situation in analogy to
@@ -13,18 +18,15 @@ interactive because they have been bound to semantic services, which are execute
 player system -- in the middle -- that interprets the represented content structures --
 the mathematical knowledge; here depicted by a theory graph on the right.
 
-\begin{figure}[ht]
-  \input{ActDocRepresentation}
-  \caption{Active Documents}\label{fig:graph2}
-\end{figure}
 
 In \emph{Juypther the situation is similar}, the user interacts with a dynamic web page --
-the Jupyther notebook -- in a browser that is a mathematical text interspersed with areas
-of interactivity: the computation cells. These can generate mathematical content and righ
-media output into the notebook upon user request. We see the notebook on the left of
-Figure~\ref{fig:graph3}. Again, we have a ``player process'': the Jupyther kernel that
-runs the code for that notebook. This is depicted as the ``machine'' on the right, which
-relies on the mathematical knowledge enoded as mathematical program code.
+the Jupyter notebook interface -- in a browser that is a mathematical text interspersed
+with areas of interactivity: the computation cells. These can generate mathematical
+content and righ media output into the notebook upon user request. We see the notebook
+interface on the left of Figure~\ref{fig:graph3}. Again, we have a ``player process'' the
+Jupyter system and displays the text from the notebook and the computational kernel that
+runs the code for the notebook. Note that the notebook (source) is also a representation
+of mathematical knowledge; we see it on the right of Figure~\ref{fig:graph3}.
 
 \begin{figure}[ht]
   \input{JupyterRepresentation}
@@ -32,10 +34,34 @@ relies on the mathematical knowledge enoded as mathematical program code.
 \end{figure}
 
 This already hints at a synthesis of the two systems; we make this explicit in
-Figure~\ref{fig:graph4}: We 
+Figure~\ref{fig:graph4}: We build a combined player system that combines the complementary
+features of both systems. 
 
+On the \emph{user interface} side this combined player 
+\begin{compactenum}
+\item allows free-form mathematical documents with interactivity regions like in active
+  documents, but also 
+\item provides computational cells with read-eval-print style interaction with dedicated
+  computational machines.
+\end{compactenum}
+We have tried to indicate this in the mixed user interface in Figure~\ref{fig:graph3}. 
 
+On \emph{the computational side}, it combines
+\begin{compactenum}
+\item the generic semantic services of the MMT Tool based with
+\item dedicated computational machines running code in separate kernel processes. 
+\end{compactenum}
+Note that all of these need to share a notion of ``mathematical state'' so that the user
+interface can present a consistent view to the user.
 
+The new player process relies on the availability of three ``declarative compondens'' that
+also need to be in a consistent representation. 
+\begin{compactenum}
+\item mathematical document text 
+\item theory-graph shaped content representations, and 
+\item engine-specific code 
+\end{compactenum}
+These tri-partite representations 
 
 \begin{figure}[ht]
   \input{Syntesis}
@@ -43,6 +69,7 @@ Figure~\ref{fig:graph4}: We
 \end{figure}
 
 
+
 %%% Local Variables:
 %%% mode: latex
 %%% TeX-master: "report"
diff --git a/JupyterRepresentation.tex b/JupyterRepresentation.tex
index 43ee88b8a5aab24afb2cc9f5352bab57a76b144c..53bb8687126c478dbb817778cf4c192ea70849bc 100644
--- a/JupyterRepresentation.tex
+++ b/JupyterRepresentation.tex
@@ -35,8 +35,8 @@
 (-6.25, 4) -- 
 (-2.75, 4) --
 (-3.25, 3.5) -- 
-(-2.5, 3.5) -- 
-(-2.5, -3.5) -- 
+(-3, 3.5) -- 
+(-3, -3.5) -- 
 cycle;
 
 \node at (-4.5, 3) {\Huge J};
diff --git a/Syntesis.tex b/Syntesis.tex
index 17b040d23a7b10919d34d872e4692be4c2612ea3..a4b02fdf9f4c5678140ccae5226a971bca2f9720 100644
--- a/Syntesis.tex
+++ b/Syntesis.tex
@@ -2,10 +2,7 @@
 
 \usepackage[landscape]{geometry}
 \usepackage{tikz}
-\usetikzlibrary{mindmap}
-\usepackage{metalogo}
-%\usepackage{dtklogos}
-\usetikzlibrary{shapes, snakes}
+\usetikzlibrary{shapes,snakes}
 \begin{document}
 \begin{tikzpicture}
 
@@ -38,36 +35,32 @@
 
 % First machine
 \path[draw, fill=blue!10] 
-(-6.5, -3.5) -- 
-(-6.5, 1.5) -- 
+(-7, -3.5) -- 
 (-7, 1.5) -- 
-(-6.5, 1.75) -- 
-(-6.5, 3.5) -- 
-(-6.25, 3.5) -- 
-(-6.75, 4) -- 
-(-3.25, 4) --
-(-3.75, 3.5) -- 
-(-3, 3.5) -- 
-(-3, -3.5) -- 
+(-7.5, 1.5) -- 
+(-7, 1.75) -- 
+(-7, 3.5) -- 
+(-6.75, 3.5) -- 
+(-7.25, 4) -- 
+(-3.75, 4) --
+(-4.25, 3.5) -- 
+(-4, 3.5) -- 
+(-4, -3.5) -- 
 cycle;
 
 
-%% Jupyther Program
+%% Jupyter Program
 
-\node[circle,fill=cyan] (a) at (-2, 1) { };
-\node[circle,fill=cyan] (b) at (0, 1) { };
-\node[circle,fill=cyan] (c) at (0, 3) { };
-\node[circle,fill=cyan] (d) at (-2, 3) { };
-\node[circle,fill=cyan] (e) at (-1, 2) { };
+\node[align=center, text width=4cm] at (-1,3.5) {\textbf{\begin{tabular}{c}\Large OpenDreamKit\\\LARGE Notebook\end{tabular}}};
+
+\node[circle,fill=cyan] (a) at (-2, 0) { };
+\node[circle,fill=cyan] (b) at (0, 0) { };
+\node[circle,fill=cyan] (c) at (0, 2) { };
+\node[circle,fill=cyan] (d) at (-2,2) { };
+\node[circle,fill=cyan] (e) at (-1, 1) { };
 \foreach \from/\to in {a/b, b/c, c/d, a/d, a/e, e/b, c/e, d/e}
 \draw [-] (\from) -- (\to);
 
-\node[align=center, text width=4cm] at (-1,3.5) {\huge Notebook};
-
-%\draw [<->] (-8.5,0) -- (-7,0) node[pos=.5,sloped,above] {};
-
-\node[align=center, text width=4cm] at (-1,-.3) {\huge Knowledge};
-
 \node[draw, fill=cyan!30, thick] (a) at (-2, -3) {Thy};
 \node[draw, fill=cyan!30, thick] (b) at (0, -3) {Thy};
 \node[draw, fill=cyan!30, thick] (c) at (0, -1) {Thy};
diff --git a/jupyther.tex b/jupyter.tex
similarity index 100%
rename from jupyther.tex
rename to jupyter.tex
diff --git a/report.tex b/report.tex
index fb92b3cc62fe8055b639f88bd4f3755b0e850213..d713f18e4bb326473de394940528e1f7f6da56c3 100644
--- a/report.tex
+++ b/report.tex
@@ -35,7 +35,7 @@
 \newpage\tableofcontents\newpage
 
 \input{intro}\newpage
-\input{jupyther}\newpage
+\input{jupyter}\newpage
 \input{ActiveDocumentsOverview}\newpage
 \input{Comparison}\newpage
 \input{conclusion}\newpage
diff --git a/report.toc b/report.toc
index 9fc71fdfd50d5e6a41eab44ef454600430bebcc8..d55d30ffb2ebb20925ceb482cd4de22564484ed6 100644
--- a/report.toc
+++ b/report.toc
@@ -52,7 +52,7 @@
 \defcounter {refsection}{0}\relax 
 \contentsline {section}{\tocsection {}{4}{A Joint Perspective and Generalization of Jupyther and Active Documents}}{16}{section.4}
 \defcounter {refsection}{0}\relax 
-\contentsline {section}{\tocsection {}{5}{Conclusion}}{17}{section.5}
+\contentsline {section}{\tocsection {}{5}{Conclusion}}{18}{section.5}
 \defcounter {refsection}{0}\relax 
 \contentsline {subsection}{\tocsubsection {}{}{Acknowledgements}}{18}{section*.2}
 \defcounter {refsection}{0}\relax