A New Approximate Min-Max Theorem with Applications in Cryptography
This work addresses challenges in cryptography and computational complexity by providing incremental advancements in proof techniques for quantifier switching problems.
The paper tackles the problem of improving proofs and quantitative results in computational complexity by developing a novel proof technique that combines the standard min-max theorem with convex approximation, leading to more concise and elegant proofs with quantitative improvements.
We propose a novel proof technique that can be applied to attack a broad class of problems in computational complexity, when switching the order of universal and existential quantifiers is helpful. Our approach combines the standard min-max theorem and convex approximation techniques, offering quantitative improvements over the standard way of using min-max theorems as well as more concise and elegant proofs.