Is it Easier to Prove Statements that are Guaranteed to be True?
Explore the intriguing question of whether statements guaranteed to be true are easier to prove in this 26-minute IEEE conference talk by Rafael Pass from Cornell Tech and Muthuramakrishnan Venkitasubramaniam from the University of Rochester. Delve into topics such as worst-case vs. average-case hardness, the Challenger-Solver game, and the hardness of Promise-true NP-Search problems. Examine machine learning concepts, including local search and Nash Equilibrium, before tackling open problems related to restricted distributions and one-way functions. Investigate the average-case hardness of NP, interactive puzzles, and the failure of the Babai-Moran Transformation for computational soundness. Gain insights into the main theorem, its proof overview, and the concluding remarks that tie together these complex concepts in computational theory.