Practice Lecture -05 - 5.1 | 5. Resolution | Discrete Mathematics - Vol 1
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Practice Questions

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Question 1

Easy

What is the resolution rule and how is it applied?

💡 Hint: Think about the process of cancellation.

Question 2

Easy

Define what a resolvent is.

💡 Hint: It involves two original 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 allow in logic?

  • Only cancellation
  • Deriving new conclusions from clauses
  • Summarizing information

💡 Hint: Think about resolving two clauses.

Question 2

True or False: A resolvent contains a common literal.

  • True
  • False

💡 Hint: Recall the process of resolving clauses.

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Challenge Problems

Push your limits with challenges.

Question 1

Given the clauses C1 = A ∨ B, C2 = ¬A ∨ C, and C3 = ¬C, can you apply resolution to derive the conclusion? Demonstrate your reasoning.

💡 Hint: Focus on resolving pairs step by step.

Question 2

Demonstrate the proof by resolution refutation for premises: P → Q, Q → R, and the conclusion ¬R.

💡 Hint: What negation do you need to add?

Challenge and get performance evaluation