Practice Eliminate Epsilon-productions (null Productions) (5.4.1.2) - Context-Free Grammars (CFG) and Languages
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Eliminate epsilon-Productions (Null Productions)

Practice - Eliminate epsilon-Productions (Null Productions)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an epsilon-production?

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

Question 2 Easy

Is the production rule C → C also an epsilon-production?

💡 Hint: Focus on the definition of epsilon-production.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main goal of eliminating epsilon-productions?

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

💡 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

💡 Hint: Consider if the empty string can form valid strings in the language.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a grammar with productions S → AB | ε, A → a | ε, and B → b, transform the grammar by removing epsilon-productions and explain your steps.

💡 Hint: Focus on the identification and use of redundancy.

Challenge 2 Hard

Explain why retaining the epsilon-production S → ε might be necessary after modifying production rules in a CFG when converting to CNF.

💡 Hint: Consider the implications of language generation in your reasoning.

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Reference links

Supplementary resources to enhance your learning experience.