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@@ -213,6 +213,8 @@ Binary trees are trees where each node has either no children (the node is a
leaf), or exactly two children (which, based on their order, can be called the
left and the right child).
+\subsubsection{Tree traversals}
+
The \definedterm{post-order} of $V(T)$ is an ordering of $T$'s vertices produced
by the following recursive procedure:
@@ -229,6 +231,14 @@ recursive procedure:
\item Traverse the root's subtrees.
\end{enumerate}
+Finally, the following procedure produces the \definedterm{in-order} of $V(T)$:
+
+\begin{enumerate}
+ \item First traverse the left subtree.
+ \item Visit the root.
+ \item Traverse the right subtree.
+\end{enumerate}
+
\subsection{Tree automata}
Consider the case of binary trees labeled with $\Sigma$. A