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Rephrase ending paragraph
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ccodel committed Jun 9, 2024
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Expand Up @@ -39,10 +39,9 @@ \subsection*{Future Work}
We hope to formally verify the result $h(7) = \infty$ due to Horton~\cite{hortonSetsNoEmpty1983},
and other results in Erd\H{o}s-Szekeres style problems.

We also see a key challenge for the community,
to improve trust when importing ``cube and conquer'' style results to an ITP.
This presents a significant engineering task
when the proof certificate is hundreds of terabytes,
as in this result (see \Cref{sec:running_cnf}).
We also want to improve the trust story of importing ``cube and conquer''-style results into an ITP.
Importing these kinds of proofs is a significant engineering task
when the proof certificate is hundreds of terabytes in size,
as it was for this result (see \Cref{sec:running_cnf}).
Although we are confident that our results are correct,
the trust story at this connection point has room for improvement.
more work needs to be done to strengthen the trust in this connection point.

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