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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a satisfiable proposition?
💡 Hint: Think about what it means for an expression to be true.
Question 2
Easy
What does CNF stand for?
💡 Hint: Recall how logical statements are structured in CNF.
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 definition of SAT?
- Check if a statement can be satisfied
- Only validate truths
- Make any statement true
💡 Hint: Think about the main function of SAT.
Question 2
True or False: The SAT problem is easy to solve for all logical expressions.
- True
- False
💡 Hint: Consider the challenges discussed in the SAT problem.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the expression (p AND (q OR r)) → (s AND t), rewrite it in CNF form.
💡 Hint: Start by rewriting implications and then apply distribution.
Question 2
Prove that the expression (p AND ¬q) OR (¬p AND q) is unsatisfiable if p = true and q = false.
💡 Hint: Analyze how truth values interact within the clauses.
Challenge and get performance evaluation