Practice How DFAs Recognize Languages (Operational Semantics) - 2.4 | Module 2: Deterministic Finite Automata (DFA) and Regular Languages | Theory of Computation
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2.4 - How DFAs Recognize Languages (Operational Semantics)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a DFA consist of?

πŸ’‘ Hint: Think about all parts that define a DFA.

Question 2

Easy

What is the purpose of the transition function in a DFA?

πŸ’‘ Hint: Consider how input symbols affect state transitions.

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 ensures that a DFA is deterministic?

  • Multiple next states
  • One next state for each input
  • Dealing with non-input transitions

πŸ’‘ Hint: Focus on what 'deterministic' implies.

Question 2

A DFA can recognize an empty string by reaching which state?

πŸ’‘ Hint: Think about what happens when no input is given.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a DFA that recognizes the language of strings containing an even number of 'a's. Explain how you’d determine the states and transitions.

πŸ’‘ Hint: Think about how many 'a's you would have processed as you move through states.

Question 2

Using the Pumping Lemma, show that the language L = {a^n b^n | n β‰₯ 0} is not regular.

πŸ’‘ Hint: Identify how the structure of the string changes with varying sizes of y.

Challenge and get performance evaluation