Review for NeurIPS paper: Active Structure Learning of Causal DAGs via Directed Clique Trees

Neural Information Processing Systems 

Additional Feedback: - Line 42: "MEC" used before defined - Line 63: Definition of directed cycle looks weird, possibly should be *- instead of *-*? (By this definition, e.g. I.e. is it the actual m(D), or the lower bound provided by Theorem 2? - Appendix, lines 591-593: Please elaborate on the clique intervention lower bound, or provide a reference. The lower bound is indeed kind of nice, but I still disagree with the authors on the clarity of presentation. The claim itself can be presented as a simple combinatorial statement, and the proof does not use any advanced techniques. In particular, I would encourage the authors to make sure that the proofs in the main paper can be followed without reference to the appendix or prior work.