Cook’s Theorem Explained | SAT is NP-Complete | Simple Proof Idea & Examples

In this video, we understand one of the MOST fundamental results in Theory of Computation: 🔎 What is Cook’s Theorem? Cook’s Theorem states that: Boolean Satisfiability (SAT) is NP-Complete. This was the first problem ever proven NP-Complete — and it opened the door to hundreds of NP-Complete problems. ✔ What you will learn What is SAT (Boolean Satisfiability)? Why SAT belongs to NP Concept of polynomial-time reductions Why every NP problem can be reduced to SAT Cook–Levin intuition (without heavy math) Real examples & visual explanation Importance of Cook’s theorem in CS 🧠 Key Idea (Simple) If we can solve SAT efficiently, we can solve every NP problem efficiently. That’s why Cook’s Theorem is the foundation of: ➡ NP-Hard ➡ NP-Complete ➡ Reductions in algorithms Perfect for: 🎓 B.Tech / MCA / BCA 📝 GATE | NET | University Exams 💡 Research & interview preparation 👍 Like • 💬 Comment doubts • 🔔 Subscribe for more TOC & DAA lectures! 💡 Other Playlist: Discrete Mathematics (Discrete Structures): -    • Discrete Design Structures   Theory of Computation and Automata: -    • Theory of Computation & Automata   Design and Analysis of Algorithms: -    • Design and Analysis of Algorithms   Web Development: -    • Web Development   C Programming Language: -    • C Programming Language   📌 Best suited for: Computer Science Students (B.Tech/ BCA/ B.Sc- CS / M.Tech/ MCA/ M.Sc CS) GATE CSE & UGC NET Aspirants Placement & Interview Preparation 👍 Don’t forget to Like, Comment, Share & Subscribe #CooksTheorem #NPComplete #TheoryOfComputation #SATProblem #Algorithms #DAA #gatecse