Practice Eliminate epsilon-Productions (Null Productions) - 5.4.1.2 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.4.1.2 - Eliminate epsilon-Productions (Null Productions)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is an epsilon-production?

πŸ’‘ Hint: Think about what this production rule allows a non-terminal to produce.

Question 2

Easy

Is the production rule C β†’ C also an epsilon-production?

πŸ’‘ Hint: Focus on the definition of epsilon-production.

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 goal of eliminating epsilon-productions?

  • Simplify the grammar
  • Complicate the production rules
  • Maintain all epsilon-productions

πŸ’‘ Hint: Think about the advantage of having fewer rules in grammar.

Question 2

True or False: An epsilon-production directly contributes to the strings generated by a grammar.

  • True
  • False

πŸ’‘ Hint: Consider if the empty string can form valid strings in the language.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a grammar with productions S β†’ AB | Ξ΅, A β†’ a | Ξ΅, and B β†’ b, transform the grammar by removing epsilon-productions and explain your steps.

πŸ’‘ Hint: Focus on the identification and use of redundancy.

Question 2

Explain why retaining the epsilon-production S β†’ Ξ΅ might be necessary after modifying production rules in a CFG when converting to CNF.

πŸ’‘ Hint: Consider the implications of language generation in your reasoning.

Challenge and get performance evaluation