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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Provide a simple compound proposition in CNF and explain if it is satisfiable.
💡 Hint: Check if you can find a truth assignment.
Question 2
Easy
What does it mean for a proposition to be unsatisfiable?
💡 Hint: Consider logical contradictions.
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 satisfiability in propositional logic?
- A property that makes a statement always true.
- The ability to find at least one truth assignment that makes the formula true.
- The counting of propositions in a formula.
💡 Hint: Think about the meaning of truth assignments.
Question 2
True or False: A tautology is always satisfiable.
- True
- False
💡 Hint: Consider the definition of tautology.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the expression (p OR ¬q) AND (¬p OR r), determine all possible truth assignments and their impact on satisfiability.
💡 Hint: Create a detailed truth table mapping variables.
Question 2
Construct a CNF expression that is unsatisfiable and explain why it cannot be satisfied.
💡 Hint: Think of contradictions in logical statements.
Challenge and get performance evaluation