Practice Application Of Resolution Rule (5.4) - Resolution - Discrete Mathematics - Vol 1
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Application of Resolution Rule

Practice - Application of Resolution Rule

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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