Practice Eliminate Unit Productions - 5.4.1.3 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.4.1.3 - Eliminate Unit Productions

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a unit production in a CFG?

πŸ’‘ Hint: Remember the definition involving only non-terminals.

Question 2

Easy

Given B β†’ C | d, what would the expansion of A β†’ B look like?

πŸ’‘ Hint: Look for what B can expand to.

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 a unit production in a CFG?

  • A β†’ B
  • A β†’ aB
  • Both A and B are terminals

πŸ’‘ Hint: Remember the format of A β†’ B.

Question 2

Are unit productions beneficial for terminal string generation?

  • True
  • False

πŸ’‘ Hint: Think about the direct usefulness in string production.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a grammar with the following productions: B β†’ D | a, A β†’ B, and D β†’ c | e, eliminate the unit productions and show the transformed grammar.

πŸ’‘ Hint: Replace A with all productions of B.

Question 2

Create an example grammar that requires multiple iterations to remove unit productions and explain the process.

πŸ’‘ Hint: Identify all unit productions first.

Challenge and get performance evaluation