Practice Concept of State Equivalence (Indistinguishability) - 4.2.2 | Module 4: Algorithms for Regular Languages and Minimization | Theory of Computation
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is state equivalence in DFAs?

πŸ’‘ Hint: Think about how they respond to different inputs.

Question 2

Easy

Define indistinguishability in the context of DFA states.

πŸ’‘ Hint: Consider their acceptance outcomes.

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 the main goal of the table-filling algorithm?

  • To generate all strings
  • To identify indistinguishable states
  • To create a new DFA

πŸ’‘ Hint: Think about what we are trying to achieve through this process.

Question 2

True or False: Indistinguishable states can be merged in the minimization of a DFA.

  • True
  • False

πŸ’‘ Hint: Consider the definition of indistinguishability.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a DFA with states {A,B,C,D} and transitions defined, apply the table-filling algorithm to find all indistinguishable states.

πŸ’‘ Hint: Focus on pairs that lead to different outcomes based on various input strings.

Question 2

Discuss the implications of combining indistinguishable states on the efficiency of state transitions in a DFA.

πŸ’‘ Hint: How does reducing the number of states help in terms of processing?

Challenge and get performance evaluation