Practice Advantages of CYK - 5.5.5 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.5.5 - Advantages of CYK

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the CYK algorithm primarily solve?

πŸ’‘ Hint: Think about what 'membership' means in terms of string categorization.

Question 2

Easy

Why is Chomsky Normal Form important for the CYK algorithm?

πŸ’‘ Hint: Consider how structured rules might lead to easier parsing.

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 time complexity of the CYK algorithm?

  • O(nΒ²)
  • O(nΒ³|G|)
  • O(n|G|)

πŸ’‘ Hint: Consider how many operations are performed as the size of the input increases.

Question 2

True or False: The CYK algorithm can only parse grammars that are in LL form.

  • True
  • False

πŸ’‘ Hint: Remember the definition of what CNF represents.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If you are given a grammar in CNF with multiple ambiguous productions, describe how you can use CYK to list the possible parse trees for a specific input string.

πŸ’‘ Hint: Consider how trees branch out and how you can visualize different parsing paths.

Question 2

Discuss a scenario where the performance of the CYK algorithm could become a bottleneck. How might you address these limitations?

πŸ’‘ Hint: Consider how preprocessing or alternative grammar forms can improve efficiency.

Challenge and get performance evaluation