Practice Discrete Mathematics - 5 | 5. Resolution | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a clause?

💡 Hint: Think about how clauses are formed.

Question 2

Easy

Define a literal in the context of logic.

💡 Hint: Remember the types of variables in logical expressions.

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?

  • Conclude from clauses
  • Define literals
  • Assign truth values

💡 Hint: Think of how we combine different statements in logic.

Question 2

True or False: An unsatisfiable set of clauses means they can all be true at the same time.

  • True
  • False

💡 Hint: Consider the definition of contradiction.

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Challenge Problems

Push your limits with challenges.

Question 1

Construct a proof by resolution refutation for the premises P, ¬P ∨ Q, Q → R, and show that the argument is valid or invalid.

💡 Hint: Focus on how negating conclusions can lead to contradictions with premises.

Question 2

Given clauses A ∨ B, ¬A, and C, derive the resolvent and conclude whether the set is satisfiable.

💡 Hint: Look for common literals to resolve.

Challenge and get performance evaluation