Small improvement in introduction

1 files changed, 5 insertions, 5 deletions

diff --git a/mgr.tex b/mgr.tex
index 1e1eeb9..0066062 100644
--- a/mgr.tex
+++ b/mgr.tex
@@ -98,11 +98,11 @@ single tree and formula, varying the valuations we ask about, and thus allow a
 preprocessing step over the formula and tree. In this case, the above naive
 algorithm could be improved with Amarilli et al.'s \cite{amarilli2019} data
 structure that allows updates of the underlying tree.  Let $m$ be the size of a
-given question, i.e. $|W_1 \cup ... \cup W_k|$.  Amarilli's result allows us to
-preprocess the tree in linear time, label it with a choice of $W_1, \ldots, W_k$
-in time $O(m \log n)$, then answer model checking in constant time, thus greatly
-improving over the naive algorithm for questions that talk about a small number
-of vertices compared to the size of the whole tree.
+given question, i.e. $m = |W_1 \cup \ldots \cup W_k|$. Amarilli's result allows
+us to preprocess the tree in linear time, label it with a choice of $W_1,
+\ldots, W_k$ in time $O(m \log n)$, then answer model checking in constant time,
+thus greatly improving over the naive algorithm for questions that talk about a
+small number of vertices compared to the size of the whole tree.
 
 \section{Main result}