Practice Proof of Validity of Resolution - 5.5 | 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

Define the resolution rule in your own words.

💡 Hint: Think about combining or cancelling out conflicting parts.

Question 2

Easy

What do we call the resulting clause after applying the resolution rule?

💡 Hint: Remember this term is key when discussing outcomes of resolutions.

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 is the key benefit of the resolution rule?

  • It combines equations
  • It eliminates literals in contradictions
  • It establishes a valid conclusion from premises

💡 Hint: Think about how the resolution impacts the truth of statements.

Question 2

Resolution is crucial in programming languages like PROLOG, True or False?

  • True
  • False

💡 Hint: Consider where resolution is applied in logical reasoning.

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Challenge Problems

Push your limits with challenges.

Question 1

Prove that the argument composed of the premises 'A ∨ B' and '¬A ⟹ C' entails 'C' using resolution methods.

💡 Hint: Consider all forms of transformation for complete coverage.

Question 2

Construct a resolution proof that shows if 'X ⟹ Y' and '¬Y' are true, what can be concluded?

💡 Hint: Restructure to visualize clear paths between premises and conclusions.

Challenge and get performance evaluation