Practice Summary - 5.11 | 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

Explain the resolution rule in your own words.

💡 Hint: Think about how contradictions can lead to simplifications.

Question 2

Easy

What does the term resolvent refer to?

💡 Hint: Consider it the 'output' of the resolution process.

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 conclusions
  • Create contradictions
  • Expand clauses
  • None of the above

💡 Hint: Consider its purpose in logic.

Question 2

True or False: The resolvent is the combined outcome after resolving two clauses.

💡 Hint: Recall what happens when we resolve clauses.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the clauses C1: X ∨ Y, C2: ¬X ∨ Z, C3: ¬Z, construct a resolution tree and determine if C4: ¬Y can be concluded.

💡 Hint: Focus on all possible resolutions until you exhaust options.

Question 2

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

💡 Hint: Be systematic; step through each resolution carefully.

Challenge and get performance evaluation