Practice Resolution (5.2) - Resolution - Discrete Mathematics - Vol 1
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Resolution

Practice - Resolution

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the resolution rule?

💡 Hint: Remember how common literals work in clauses.

Question 2 Easy

Define a tautology.

💡 Hint: Think about logical statements that don't change in truth.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the resolution rule allow us to do?

A) Disprove an argument
B) Simplify and create new clauses
C) Verify tautologies

💡 Hint: Think about the mechanics of how clauses interact.

Question 2

True or False: The conclusion of a valid argument must be a tautology.

True
False

💡 Hint: Consider what valid means in terms of premises.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the clauses A: (p ∨ ¬q), B: (¬p ∨ r), and C: (¬r), demonstrate using resolution that q must be true.

💡 Hint: Look for literals that can be paired effectively.

Challenge 2 Hard

Construct a set of clauses that are satisfiable and then show how their resolution can lead to the conclusion being false.

💡 Hint: Explore combinations of true and false assignments.

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Reference links

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