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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a clause is in propositional logic.
💡 Hint: Think about how literals combine to form more complex expressions.
Question 2
Easy
What is the resolution rule used for?
💡 Hint: Consider how it helps in logic-based systems.
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 you to do?
- Form new clauses
- Reject old clauses
- Add literals
💡 Hint: Consider how clauses interact with each other.
Question 2
True or False: The empty clause indicates that a set of clauses is satisfiable.
- True
- False
💡 Hint: Think about what inconsistency implies.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given premises (A → B), (C → D), (¬A), (C), and the conclusion (B), show through resolution refutation that it is valid.
💡 Hint: Follow the paths of resolution through the premises carefully.
Question 2
Construct a resolution tree for the clauses: (A ∨ B), (¬A ∨ C), (¬B ∨ D), (¬C) and determine if the empty clause is present.
💡 Hint: Identify the steps leading towards the contradictions.
Challenge and get performance evaluation