Practice Summary (5.11) - Resolution - Discrete Mathematics - Vol 1
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Practice Questions

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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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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