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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the resolution rule in your own words.
💡 Hint: Think about how combining clauses might simplify expressions.
Question 2
Easy
What does a 'valid argument form' imply?
💡 Hint: Focus on the relationship between premises and conclusion.
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 resolution rule?
- A way to write logical expressions
- A mechanism to derive new clauses from existing ones
- A method of simplifying single propositions
💡 Hint: Focus on clause interactions.
Question 2
True or False: A valid argument form always leads to a true conclusion.
- True
- False
💡 Hint: Consider what 'valid' means in this context.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the clauses A ∨ B, ¬A ∨ C, and ¬B ∨ ¬C, prove whether C can be concluded using the resolution rule.
💡 Hint: Focus on systematically eliminating possibilities.
Question 2
Construct a resolution tree for the clauses: (P ∨ Q), (¬Q), and (R ∨ ¬P). How do these relate to proving the validity of a conclusion?
💡 Hint: Ensure to apply the resolution rule step by step across clauses.
Challenge and get performance evaluation