Practice Church-turing Thesis Revisited For Complexity (8.2.2.4) - Undecidability and Introduction to Complexity Theory
Students

Academic Programs

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

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

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

Church-Turing Thesis Revisited for Complexity

Practice - Church-Turing Thesis Revisited for Complexity

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is polynomial time?

💡 Hint: Think about the growth of functions related to input size.

Question 2 Easy

What is the Church-Turing thesis?

💡 Hint: Consider what this implies about different computation models.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Church-Turing Thesis state?

All computations can be done in constant time.
Every problem can be solved by a Turing Machine.
All reasonable computational models are polynomially equivalent.

💡 Hint: Think about the implications of computation types.

Question 2

Is a problem in P also in NP?

True
False

💡 Hint: Consider how verification works.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a scenario in real-world applications where an efficient algorithm for an NP problem is discovered. What would this imply for all NP problems?

💡 Hint: Think about how this would affect current understandings of computation.

Challenge 2 Hard

Analyze the implications of asserting that all numerical problems in polynomial time can be transformed into outputs of a Turing Machine.

💡 Hint: Consider the effects on various programming languages and paradigms.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.