Explore the complexity of the Minimum Circuit Size Problem (MCSP) and its variants in this IEEE conference talk. Delve into the importance of MCSP, its potential NP-hardness, and its connections to circuit lower bounds. Examine the key ideas behind (Partial Function)-MCSP and (Depth-d Formula)-MCSP. Investigate the power of constant depth formulas and the impact of additional depth. Learn about the proof strategy and the reasoning behind the inductive step in this 23-minute presentation by MIT researcher Rahul Ilango.