Practice Resolving More than Two Clauses - 5.6 | 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 a clause in propositional logic.

💡 Hint: Think of it as an OR statement in logic.

Question 2

Easy

What do we mean by the resolvent of two clauses?

💡 Hint: It's the result after doing some 'cancellation'.

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 a resolution in propositional logic?

  • A method for creating arguments
  • A way to cancel out literals
  • A type of proof
  • A definition of clauses

💡 Hint: Think about what happens during the process.

Question 2

True or False: The resolution tree must contain every clause from the original set.

  • True
  • False

💡 Hint: Consider the flexibility of choosing pairs for resolution.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate the validity of the argument A ∨ B, ¬A, C → D using proof by resolution refutation.

💡 Hint: Track your negations closely for coherence.

Question 2

Given clauses: ¬P ∨ R, P ∨ Q, Q → ¬R. Create a resolution tree to show if Q can lead to a conclusion.

💡 Hint: Order of clauses matters in resolution!

Challenge and get performance evaluation