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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define satisfiability in your own words.
💡 Hint: Think about conditions needed for a proposition to be true.
Question 2
Easy
What is the meaning of a tautology?
💡 Hint: Consider an expression that never fails.
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 does it mean for a proposition to be satisfiable?
- It is always false
- It can be true under certain variable assignments
- It is always true
💡 Hint: Think of when a statement holds true.
Question 2
True or False: A tautology is a proposition that can never be true.
💡 Hint: Consider the definition of a tautology.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the following proposition, determine if it's satisfiable: (p ∨ q) ∧ (¬p ∧ r).
💡 Hint: Try different combinations of truth assignments.
Question 2
Explain how you would convert the compound proposition ¬(p ∧ q) into CNF.
💡 Hint: Look for simplifications through negations.
Challenge and get performance evaluation