Changed SQL in S.3 to subscripts.
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@ -70,7 +70,7 @@ The query $\qhard^k$ then becomes
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\mdfdefinestyle{underbrace}{topline=false, rightline=false, bottomline=false, leftline=false, backgroundcolor=black!15!white, innerbottommargin=0pt}
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\begin{mdframed}[style=underbrace]
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\begin{lstlisting}
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SELECT COUNT(*) FROM $\underbrace{Q^1\text{ JOIN }Q^1\text{ JOIN}\cdots\text{JOIN }Q^1}_{k\rm\ times}$
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SELECT COUNT(*) FROM $\underbrace{Q_1\text{ JOIN }Q_1\text{ JOIN}\cdots\text{JOIN }Q_1}_{k\rm\ times}$
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\end{lstlisting}
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\end{mdframed}
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\noindent %Consider again the \abbrCTIDB instance $\pdb$ of~\Cref{fig:two-step} and, for our hard instance, let $\bound = 1$. $\pdb$ generalizes to one compatible
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