Practice Initialization (Processing Substrings of Length 1) - 5.5.2.1 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.5.2.1 - Initialization (Processing Substrings of Length 1)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the purpose of the initialization phase in the CYK algorithm?

πŸ’‘ Hint: Think about what we need to start tracking.

Question 2

Easy

In Chomsky Normal Form, what does a production rule of type A -> a signify?

πŸ’‘ Hint: Consider the structure of the rules.

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 does the initialization step in the CYK algorithm focus on?

  • Processing long substrings
  • Processing substrings of length 1
  • Processing entire strings

πŸ’‘ Hint: Think about how we start breaking down the strings.

Question 2

True or False: In CNF, a production rule can be of the form A -> BC.

  • True
  • False

πŸ’‘ Hint: Recall the forms allowed for rules in CNF.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the input string 'xyz' with a grammar: X -> x, Y -> y, Z -> z, derive T[i,1] for each i.

πŸ’‘ Hint: Identify which non-terminals correspond to each character.

Question 2

Describe the process of filling T[i,1] and then transitioning to T[i,j] for j=2 while using the earlier entries.

πŸ’‘ Hint: Think about the connections between non-terminals from T[i, j-1].

Challenge and get performance evaluation