Practice Derivations - 5.2.1 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.2.1 - Derivations

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a production rule in a CFG?

πŸ’‘ Hint: Think of it as a guideline for generating strings.

Question 2

Easy

What is meant by the term 'yield of a parse tree'?

πŸ’‘ Hint: Focus on what the leaves represent in a tree structure.

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 a production rule do in a CFG?

  • Specifies how terminals can be created
  • Specifies how non-terminals can be replaced
  • Defines the language of the CFG

πŸ’‘ Hint: Focus on how production rules guide string formation.

Question 2

True or False: The yield of a parse tree is formed by reading the non-terminals.

  • True
  • False

πŸ’‘ Hint: Think about what leaves really represent.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct the parse tree for the string '((a)b)' using the CFG with rules S β†’ (S) | a | b.

πŸ’‘ Hint: Focus on the proper sequence of applying each rule according to the CFG.

Question 2

Using the CFG: S β†’ SS | (S) | a, derive the string 'a(a)a' and describe the resulting parse tree structure.

πŸ’‘ Hint: Think of how each rule extends and connects to different terminal symbols.

Challenge and get performance evaluation