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\section{Word infix regular queries}
There is a simple and well-known data structure that, given a fixed automaton
-$A$, preprocesses an input word $w$ in time $O(n)$, and afterwords is able to
+$A$, preprocesses an input word $w$ in time $O(n)$, and afterwards is able to
answer in time $O(1)$ questions of the form ``Is the infix $w[i, j]$ accepted by
$A$?''. We present the full construction as we will be generalizing its
internals for the tree case.