Practice The Cook-levin Theorem (the Genesis Of Np-completeness) (8.2.4.3) - Undecidability and Introduction to Complexity Theory
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

The Cook-Levin Theorem (The Genesis of NP-Completeness)

Practice - The Cook-Levin Theorem (The Genesis of NP-Completeness)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does NP stand for?

💡 Hint: Think about polynomial time and decision problems.

Question 2 Easy

Define NP-complete.

💡 Hint: What makes a problem the 'hardest' in NP?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does NP-complete mean?

A problem that can't be verified in polynomial time.
A problem that is as hard as the hardest problems in NP.
A problem that can only solve simple queries.

💡 Hint: Think about the complexity of NP problems and their relationships.

Question 2

True or False: SAT is the first NP-complete problem.

💡 Hint: Reflect on the implications of the Cook-Levin theorem.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a polynomial-time reduction from the SAT problem to another NP problem.

💡 Hint: Look closely at how truth values in SAT can dictate outcomes in the new problem.

Challenge 2 Hard

Discuss the implications of discovering a polynomial-time algorithm for any NP-complete problem.

💡 Hint: Reflect on how this would affect current computational limitations and theoretical computer science.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.