words can be stored using a small amouth of storage because edges can be
re-used to specify transitions. For example the graph in
Figure~\ref{exampledawg} can describe the language $L$ where all words $w$ that
-are accepted $w\in\{abd, bad, bae\}$. Testing if a word is present in the DAWG
+are accepted $w\in\{abd, bad, bae\}$. Testing if a word is present in the DAWG
is the same technique as testing if a node path is present in a normal DAG and
therefore also falls in the computational complexity class of $\mathcal{O}(L)$.
This means that it grows linearly with the length of the word.