Let’s talk about P vs NP—the single most important unsolved problem in theoretical computer science, a Clay Mathematics Institute Millennium Prize Problem, and a question with a $1,000,000 bounty on its head. At its core, the problem boils down to a strikingly simple question: If it is easy to CHECK that a solution to a problem is correct, is it also easy to FIND that solution from scratch? Let’s break this down from first principles with zero fluff. The Core Definitions Theoretica...