Practice Eliminate Unit Productions (5.4.1.3) - Context-Free Grammars (CFG) and Languages
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Eliminate Unit Productions

Practice - Eliminate Unit Productions

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a unit production in a CFG?

💡 Hint: Remember the definition involving only non-terminals.

Question 2 Easy

Given B → C | d, what would the expansion of A → B look like?

💡 Hint: Look for what B can expand to.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a unit production in a CFG?

A → B
A → aB
Both A and B are terminals

💡 Hint: Remember the format of A → B.

Question 2

Are unit productions beneficial for terminal string generation?

True
False

💡 Hint: Think about the direct usefulness in string production.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Replace A with all productions of B.

Challenge 2 Hard

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

💡 Hint: Identify all unit productions first.

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Reference links

Supplementary resources to enhance your learning experience.