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@@ -368,19 +368,19 @@ of parties maintained by the challenger in the security games which we define la
%necessarily have access to all oracles simultaneously.
We refer to customers in the parameters to an oracle query simply by their
-public key. For coins, however, the situation is more complicated. The
-adversary needs the ability to refer to coins to trigger operations such as
-spending and refresh, but to model anonymity we cannot give the adversary access
-to the coins' public keys directly. Therefore we allow the adversary to use
-the (successful) transcripts of the withdraw, refresh and link protocols to
-indirectly refer to coins. We refer to this as a coin handle $\mathcal{H}$.
-Since the execution of a link protocol results in a transcript $\mathcal{T}$
-that can contain multiple coins, the adversary needs to select a particular
-coin from the transcript via the index $i$ as $\mathcal{H} = (\mathcal{T}, i)$.
-The respective oracle tries to find the coin that resulted from the transcript
-given by the adversary. If the transcript has not been seen before in the
-execution of a link, refresh or withdraw protocol; or the index for a link
-transcript is invalid, the oracle returns an error to the adversary.
+public key. The adversary needs the ability to refer to coins to trigger
+operations such as spending and refresh, but to model anonymity we cannot give
+the adversary access to the coins' public keys directly. Therefore we allow
+the adversary to use the (successful) transcripts of the withdraw, refresh and
+link protocols to indirectly refer to coins. We refer to this as a coin handle
+$\mathcal{H}$. Since the execution of a link protocol results in a transcript
+$\mathcal{T}$ that can contain multiple coins, the adversary needs to select a
+particular coin from the transcript via the index $i$ as $\mathcal{H} =
+(\mathcal{T}, i)$. The respective oracle tries to find the coin that resulted
+from the transcript given by the adversary. If the transcript has not been
+seen before in the execution of a link, refresh or withdraw protocol; or the
+index for a link transcript is invalid, the oracle returns an error to the
+adversary.
In oracles that trigger the execution of one of the interactive protocols
defined in Section~\ref{sec:algorithms}, we give the adversary the ability to actively