Facing Comutational Challenges in AI: Stochastic Search and Reasoning Strategies Bart Selman AT&T Laboratories Murray Hill, NJ 07974 Significant progress has been made recently in our understanding of the nature of computationally hard search and reasoning problems in AI. In addition, new stochastic methods have been discovered for solving such problems. I'll discuss these developments and also a surprising connection to phase transition phenomena studied in physics.