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diff --git a/doc/paper/taler.tex b/doc/paper/taler.tex
index 488f01d06..bdc60e15b 100644
--- a/doc/paper/taler.tex
+++ b/doc/paper/taler.tex
@@ -1335,7 +1335,7 @@ exchange can even invent coins whole cloth.
We may now remove the encrpytion by appealing to the random oracle
model~\cite{BR-RandomOracles}.
-\begin{lemma}[\cite{??}]
+\begin{lemma}%[\cite{??}]
Consider a protocol that commits to random data by encrypting it
using a secret derived from a Diffe-Hellman key exchange.
In the random oracle model, we may replace this encryption with
@@ -1345,6 +1345,11 @@ functions to the same secret.
% TODO: Too general probably?
% TODO: IND-CPA again?
+Indeed, we expect doing so to increase practical security as in
+\cite{Abdalla2000}, and adding the random oracle assumption need not
+reduce security if it focuses more attention on the usage of hash
+functions throughout the protocol.
+
\begin{proof}
We work with the usual instantiation of the random oracle model as
returning a random string and placing it into a database for future
@@ -1356,6 +1361,10 @@ that we encrypt in the old encryption based version of Taler.
Now our random oracle scheme with $R$ gives the same result as our
scheme that encrypts random data, so the encryption becomes
superfluous and may be omitted.
+
+We require the security of the original encryption operation reduced
+to the security of the Diffe-Hellman key exchange, which remains a
+requirement of the derived protocol.
\end{proof}
We may now conclude that Taler remains unlinkable even with the refresh protocol.