Capturing One-Way Functions via NP-Hardness of Meta-Complexity

Explore a groundbreaking lecture on the characterization of one-way functions through worst-case hardness assumptions. Delve into the relationship between one-way functions, NP-hardness, and distributional Kolmogorov complexity. Examine how this characterization suggests that recent meta-complexity approaches to exclude Heuristica and Pessiland from Impagliazzo's five worlds are both sufficient and necessary. Gain insights into the implications of this research for minimal complexity assumptions in cryptography, presented by Shuichi Hirahara from the National Institute of Informatics in Tokyo.