Practice Application of Resolution Rule - 5.4 | 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.

💡 Hint: Think of it in terms of eliminating opposite literals.

Question 2

Easy

What is a resolvent?

💡 Hint: It's what you get after resolving two 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 achieve?

  • Eliminates literals
  • Derives new clauses
  • Confirms unsatisfiability

💡 Hint: Focus on what action the rule facilitates.

Question 2

Resolution refutation demonstrates an argument is valid when it leads to the ___ clause.

💡 Hint: Think about the nature of contradictions in logic.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove the argument validity for the premises P → Q, Q → R, and premise P, conclude R using resolution refutation.

💡 Hint: Focus on how each clause plays a role in resolution.

Question 2

Given a set of clauses: A ∨ B, ¬A ∨ C, ¬C, determine the validity of the argument A ∨ B implies C.

💡 Hint: Analyze the interactions between the clauses effectively.

Challenge and get performance evaluation