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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the resolution rule allow us to do?
💡 Hint: Think about how conclusions can be derived from premises.
Question 2
Easy
Define what a resolvent is.
💡 Hint: Consider the new information created from resolving clauses.
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?
- It combines clauses
- It cancels common literals
- It adds new clauses
💡 Hint: Focus on the key action that the resolution rule performs.
Question 2
Does an empty clause indicate a valid argument?
- True
- False
💡 Hint: Consider what it means if you reach no clauses.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the premises: 'If A, then B' (A → B), 'If B, then C' (B → C) and 'A', show through resolution refutation that the conclusion 'C' is valid.
💡 Hint: Focus on deriving new clauses step-by-step and watch for the empty clause.
Question 2
Create a proof by resolution refutation for the premises: 'X ∨ Y' and '¬X', concluding 'Y'.
💡 Hint: Combine the premises carefully and track resolutions leading to your conclusion.
Challenge and get performance evaluation