NP-Complete Problems Explained: The Cook-Levin Theorem & What Makes Them Hard 🔍

What makes a problem "harder" than another problem? How can we say a problem is the hardest in a complexity class? In this video, we provide a proof sketch of the Cook-Levin theorem, introducing a critical concept known as NP-completeness. Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Zachary Greenberg, Elaine Chang, Brandon Chen Music: Gravity Sound (https://www.youtube.com/channel/UCQ7Xmyu6eXpJfkEoMtRMv1w) Twitter: https://twitter.com/UBehavior — References: P vs NP Playlist: https://www.youtube.com/playlist?list=PLlwsleWT767dnN25K_QgvdKkovK_t4K6- Cook-Levin Theorem: https://en.wikipedia.org/wiki/Cook–Levin_theorem NP-Completeness: https://en.wikipedia.org/wiki/NP-completeness Reduction: https://en.wikipedia.org/wiki/Reduction_(complexity) SAT: https://en.wikipedia.org/wiki/Boolean_satisfiability_problem Circuit-SAT: https://en.wikipedia.org/wiki/Circuit_satisfiability_problem Circuits: https://en.wikipedia.org/wiki/Boolean_circuit Turing Machine: https://en.wikipedia.org/wiki/Turing_machine Lectures: NP-Completeness and the Cook--Levin Theorem: https://youtu.be/QRYYDvgGQd0