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

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💡 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

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