Practice Formal Definition: A 5-tuple Specification (2.2) - Deterministic Finite Automata (DFA) and Regular Languages
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Formal Definition: A 5-Tuple Specification

Practice - Formal Definition: A 5-Tuple Specification

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the set Q represent in a DFA?

💡 Hint: Think about the configurations the DFA can have.

Question 2 Easy

What is the role of the transition function δ?

💡 Hint: It directly affects the state changes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the set F represent in a DFA?

The initial state
The set of symbols
Final or accepting states

💡 Hint: Think about which states lead to acceptance.

Question 2

True or False: The transition function δ for a DFA can lead to multiple next states for the same input.

True
False

💡 Hint: Recall the definition of deterministic behavior.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a DFA defined by the 5-tuple with Q = {q0, q1}, Σ = {0, 1}, δ defined as δ(q0, 0) = q1, δ(q0, 1) = q0, δ(q1, 0) = q1, δ(q1, 1) = q0, q0 as the initial state, and F = {q1}. What language does this DFA recognize?

💡 Hint: Think about the transitions and what they represent in terms of the count of zeros.

Challenge 2 Hard

Create a 5-tuple definition for a DFA that accepts strings over {a, b} that start with 'a' and end with 'b'.

💡 Hint: Track the transitions for valid starting and ending characters.

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Reference links

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