\begin{table}[htbp]
\centering
\caption{Correlation between Base LLM Benchmarks and Behavior Action Sequencing Task Performance}
\label{tab:behavior_action_sequencing_correlation}
\footnotesize
\begin{tabular}{lccccccccccc}
\toprule
Base LLM Metrics & Task Success & State Goal & Relation Goal & Total Goal & Execution Su... & Parsing & Hallucination & Predicate Arg & Wrong Order & Missing Step & Additional Step \\
\midrule
GPQA & 0.311 & 0.282 & 0.355 & 0.340 & 0.333 & 0.081 & 0.137 & 0.201 & -0.171 & -0.010 & 0.063 \\
MUSR & 0.203 & 0.264 & 0.148 & 0.196 & 0.184 & 0.062 & -0.035 & 0.016 & -0.131 & 0.069 & 0.027 \\
IFEval & \textit{0.689} & \textbf{0.702} & \textbf{0.709} & \textbf{0.740} & \textbf{0.726} & \textbf{0.838} & -0.187 & -0.112 & \textbf{-0.816} & \textbf{-0.783} & \textit{-0.515} \\
MMLU-PRO & \textit{0.601} & \textit{0.613} & \textit{0.526} & \textit{0.578} & \textit{0.587} & 0.307 & 0.120 & 0.256 & -0.356 & -0.229 & -0.147 \\
BBH & \textit{0.613} & \textit{0.581} & \textit{0.620} & \textit{0.629} & \textit{0.615} & 0.372 & 0.111 & 0.220 & -0.469 & -0.296 & -0.180 \\
MATH Lvl 5 & \textit{0.604} & \textit{0.649} & \textit{0.510} & \textit{0.589} & \textit{0.574} & 0.295 & 0.225 & 0.247 & -0.444 & -0.254 & -0.208 \\
\bottomrule
\end{tabular}
\begin{tablenotes}
\footnotesize
\item Note: Bold values indicate strong correlations ($|r| \geq 0.7$), italic values indicate moderate correlations ($0.5 \leq |r| < 0.7$).
\end{tablenotes}
\end{table}
