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diff --git a/sec/reducer.ltx b/sec/reducer.ltx
index 732154f..77b5ce7 100644
--- a/sec/reducer.ltx
+++ b/sec/reducer.ltx
@@ -120,7 +120,9 @@ let step (t : Term) : Term =
\caption{Implementation of complete development.}\label{lst:step}
\end{listing}
-\TODO{explain why fuel is necessary for the reducer}
+Our reducer only applies \(\beta\)-reduction. It is also possible to
+perform \(\eta\)-contraction as computing a strengthened term requires only
+structural induction.
\subsection{Encoding Algorithm}%
\label{subsec:encoding}