\begin{table}[htbp]
\centering
\caption{Correlation between Base LLM Benchmarks and Behavior Goal Interpretation Task Performance}
\label{tab:behavior_goal_interpretation_correlation}
\footnotesize
\begin{tabular}{lccccccc}
\toprule
Base LLM Metrics & Overall F1 & State Goal F1 & Relation Goa... & State Halluc... & Object Hallu... & Format Error... & Grammaticall... \\
\midrule
GPQA & \textit{0.627} & \textit{0.576} & \textit{0.646} & 0.309 & 0.325 & 0.295 & -0.446 \\
MUSR & \textit{0.642} & \textit{0.605} & \textit{0.652} & 0.300 & 0.324 & 0.280 & -0.412 \\
IFEval & 0.484 & 0.459 & \textit{0.500} & 0.402 & 0.420 & 0.419 & \textit{-0.515} \\
MMLU-PRO & \textbf{0.821} & \textbf{0.777} & \textbf{0.837} & 0.493 & \textit{0.511} & 0.473 & \textit{-0.634} \\
BBH & \textbf{0.742} & \textbf{0.707} & \textbf{0.765} & 0.403 & 0.422 & 0.384 & \textit{-0.518} \\
MATH Lvl 5 & \textbf{0.761} & \textbf{0.780} & \textbf{0.727} & 0.466 & 0.490 & 0.460 & \textit{-0.574} \\
\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}
