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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the resolution rule?
💡 Hint: Remember how common literals work in clauses.
Question 2
Easy
Define a tautology.
💡 Hint: Think about logical statements that don't change in truth.
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 the resolution rule allow us to do?
- A) Disprove an argument
- B) Simplify and create new clauses
- C) Verify tautologies
💡 Hint: Think about the mechanics of how clauses interact.
Question 2
True or False: The conclusion of a valid argument must be a tautology.
- True
- False
💡 Hint: Consider what valid means in terms of premises.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the clauses A: (p ∨ ¬q), B: (¬p ∨ r), and C: (¬r), demonstrate using resolution that q must be true.
💡 Hint: Look for literals that can be paired effectively.
Question 2
Construct a set of clauses that are satisfiable and then show how their resolution can lead to the conclusion being false.
💡 Hint: Explore combinations of true and false assignments.
Challenge and get performance evaluation