Practice Grammars and Motivation - 5.1 | Module 5: Context-Free Grammars (CFG) and Languages | Theory of Computation
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5.1 - Grammars and Motivation

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a context-free grammar?

πŸ’‘ Hint: Think about what defines the structure in grammars.

Question 2

Easy

Can regular languages handle nested structures?

πŸ’‘ Hint: Consider examples like balanced parentheses.

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 defining characteristic of context-free grammars?

  • They can only express linear languages
  • The left-hand side must be a single non-terminal
  • They require finite states

πŸ’‘ Hint: Think about the structure of production rules.

Question 2

True or False: Regular languages can handle nested parentheses.

  • True
  • False

πŸ’‘ Hint: Recall the examples of CFGs versus regular expressions.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a CFG that generates the language of correctly nested parentheses, and explain each production rule.

πŸ’‘ Hint: Think about how each rule represents the structures.

Question 2

Describe a situation where the need for CFGs arises in real-world applications, and how they overcome the limitations of regular expressions.

πŸ’‘ Hint: Consider coding examples that require hierarchical representation.

Challenge and get performance evaluation