Practice - The Equivalence Problem for Regular Languages
Practice Questions
Test your understanding with targeted questions
What is the definition of the Equivalence Problem in the context of regular languages?
💡 Hint: Consider what it means for two languages to be the same.
What does the symmetric difference of two languages represent?
💡 Hint: Think of it as a set operation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Is it true that two DFAs are equivalent if their symmetric difference is empty?
💡 Hint: Think about the meaning of equivalence in languages.
What do we do to find the complement of a DFA?
💡 Hint: What happens to accepting states?
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Challenge Problems
Push your limits with advanced challenges
Given two DFAs, M1 accepts strings with an even number of zeros, and M2 accepts strings with an odd number of zeros. Are they equivalent? Explain your reasoning.
💡 Hint: Consider the characteristics of even and odd counts.
Construct a product automaton for M1 and M2. How would you determine if this automaton accepts any strings?
💡 Hint: Review the process of building and navigating product automata.
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Reference links
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