

\paragraph{Acknowledgments.}The authors would like to thank Sara Rosenthal, Yikang Shen, Radu Florian, and Salim Roukos for valuable input and feedback during this work. KR would also like to thank Brian Williams and Arduin Findeis for helpful discussions related to this work and the impacts of principle discovery, and Sriram Tolety for feedback on a draft of this paper. 