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diff --git a/mgr.tex b/mgr.tex
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--- a/mgr.tex
+++ b/mgr.tex
@@ -247,6 +247,12 @@ range minimum queries on the array.
 
 \subsection{Word infix regular queries}\label{wordinfix}
 
+We now turn to a problem about regular languages. Note that the regular language
+is fixed, i.e. we treat the size of its representation (e.g. the size of an
+automaton representing it) as a parameter. Below we take a deterministic
+automaton for convenience, but if we instead start with a nondeterministic
+automaton we ``don't care'' about the exponential cost of determinizing it.
+
 \queryproblem[%
     regular language $L$ over alphabet $\Sigma$, given by DFA $A$.
 ]{Word Infix Regular Queries}{%