Practice Derivations (5.2.1) - Context-Free Grammars (CFG) and Languages
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Derivations

Practice - Derivations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a production rule in a CFG?

💡 Hint: Think of it as a guideline for generating strings.

Question 2 Easy

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

💡 Hint: Focus on what the leaves represent in a tree structure.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 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

💡 Hint: Think about what leaves really represent.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Focus on the proper sequence of applying each rule according to the CFG.

Challenge 2 Hard

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

💡 Hint: Think of how each rule extends and connects to different terminal symbols.

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Reference links

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