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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a clause?
💡 Hint: Consider the component parts of a logical statement.
Question 2
Easy
Identify a pair of complementary literals.
💡 Hint: Think about variables and their negations.
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 method help determine?
- Satisfiability of a single clause
- Whether a compound proposition is true
- Satisfiability of a set of clauses
💡 Hint: Think about the purpose of adding multiple clauses.
Question 2
True or False: A set of clauses is unsatisfiable if they cannot all be true at the same time.
- True
- False
💡 Hint: Envision cases where truth values lead to contradictions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove unsatisfiability of the compound proposition formed by the clauses: { (p ∨ q), (¬p), (¬q) } using resolution.
💡 Hint: Start with deriving conclusions iteratively.
Question 2
Given the clauses: { (p ∨ r), (¬r ∨ q), (¬q ∨ ¬p) }, show how they lead to unsatisfiability.
💡 Hint: Be consistent with tracking the literals.
Challenge and get performance evaluation