Practice Formal Definition Of Np-completeness (8.2.4.2) - Undecidability and Introduction to Complexity Theory
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Formal Definition of NP-Completeness

Practice - Formal Definition of NP-Completeness

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does NP stand for?

💡 Hint: Think about the verification of solutions.

Question 2 Easy

Name one characteristic of NP-complete problems.

💡 Hint: Check both definitions provided in the lesson.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does NP-complete signify about a problem?

It can be solved in polynomial time.
It is both NP and NP-hard.
It is easier than NP-hard problems.

💡 Hint: Think about the intersection of the definitions for NP and NP-hard.

Question 2

The Cook-Levin Theorem is essential because it established which problem as NP-complete?

💡 Hint: Consider the first NP-complete problem taught in theory.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a new decision problem, outline the steps to show it's NP-complete. Include necessary reductions.

💡 Hint: Consider how direct mappings from SAT can inform your reductions.

Challenge 2 Hard

Discuss the implications of finding a polynomial-time solution for any NP-complete problem. What would this mean for P vs NP?

💡 Hint: Reflect on the meaning of these relationships in practical computing.

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