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Here are the responses/changes made to the paper in accordance with the input of the referee:
\begin{itemize}
\item I changed `injection' to `bijection'.
\item The parentheses in `(p)' indicate that I have changed `P' to `p' in the given quotation. (The change happens because a lower-case letter is required in the context for reasons of English grammar.)
\item I have shown how the results listed in the Introduction correspond to theorems. I added a generalizing statement (about the existence of a ternary square-free word) to the first theorem.
\item I gave the main definitions needed from combinatorics on words.
\item I moved two lemmas to section 5.
\item I added an explanation for the statement in the second line of Section 4.
\item I explicitly referenced the Remark where it was used.
\item I changed `This' to `Thus'.
\item I changed `consider' to `to consider'.
\item I referenced Shur's work on counting ternary square-free words and mentioned their relevance to possibly strengthening the theorem.
\end{itemize}
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