Practice Purpose of the CYK Algorithm - 5.5.1 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

5.5.1 - Purpose of the CYK Algorithm

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does CYK stand for?

πŸ’‘ Hint: It's named after its creators.

Question 2

Easy

What is the purpose of the CYK Algorithm?

πŸ’‘ Hint: Think about its function related to languages.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main purpose of the CYK Algorithm?

  • To determine membership of strings
  • To construct parse trees
  • To simplify grammar

πŸ’‘ Hint: Think about what the algorithm is fundamentally designed to do.

Question 2

True or False: The CYK Algorithm requires Context-Free Grammars to be in Chomsky Normal Form.

  • True
  • False

πŸ’‘ Hint: Recall the definition of CNF.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a CFG in CNF, derive how the CYK Algorithm would fill in a table for the input string 'xxy'. List out the table's rows as the algorithm processes it.

πŸ’‘ Hint: Refer back to how substrings are built and the necessary productions.

Question 2

Analyze the efficiency of the CYK Algorithm in terms of space versus time for large strings. What optimization strategies can be implemented?

πŸ’‘ Hint: Think about how different approaches can reduce computation time.

Challenge and get performance evaluation