We provide the following negative results for differing-inputs obfuscation (diO): (1) If subexponentially secure one-way functions exist then sub-exponentially secure diO for TMs does not exist (2) If in addition sub-exponentially secure iO exists then polynomially secure diO for TMs does not exist. 1 Department of Computer Science & Engineering, University of California San Diego, 9500 Gilman ...