Practice Key Properties of Resolution - 5.8 | 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

Define the resolution rule in your own words.

💡 Hint: Think about how we can combine two statements.

Question 2

Easy

What does the empty clause represent?

💡 Hint: Consider what contradiction means in logic.

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?

  • Derive new clauses
  • Create new propositions
  • Extend existing clauses

💡 Hint: Focus on the main function of the resolution rule.

Question 2

If a set of clauses leads to the empty clause, what does it signify?

  • True
  • False

💡 Hint: Think about what an empty result implies.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given clauses C1: (P ∨ Q) and C2: (¬P ∨ R), resolve these and provide the correct resolvent. Then explain why the notion of truth matters in determining the validity of the argument.

💡 Hint: Look closely at the common literals before resolving.

Question 2

Construct a set of clauses that would lead to the empty clause. Then analyze what this implies regarding the arguments established.

💡 Hint: Think about how contradictions function in logic.

Challenge and get performance evaluation