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@@ -38,7 +38,7 @@ second-order variables.
**Given**: a tree T.
-**Questions**: is a given $k$-tuple of subsets of $T$'s vertices $\vec{W}$, a
+**Questions**: is $\vec{W}$, a $k$-tuple of subsets of $T$'s vertices, a
satisfying assignment to $\vec{X}$? I.e., does $T \models \varphi(\vec{W})$.
Note: first-order variables are supported by restricting input sets to