Practice Lecture -05 (5.1) - Resolution - Discrete Mathematics - Vol 1
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Lecture -05

Practice - Lecture -05

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the resolution rule and how is it applied?

💡 Hint: Think about the process of cancellation.

Question 2 Easy

Define what a resolvent is.

💡 Hint: It involves two original clauses.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the resolution rule allow in logic?

Only cancellation
Deriving new conclusions from clauses
Summarizing information

💡 Hint: Think about resolving two clauses.

Question 2

True or False: A resolvent contains a common literal.

True
False

💡 Hint: Recall the process of resolving clauses.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the clauses C1 = A ∨ B, C2 = ¬A ∨ C, and C3 = ¬C, can you apply resolution to derive the conclusion? Demonstrate your reasoning.

💡 Hint: Focus on resolving pairs step by step.

Challenge 2 Hard

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

💡 Hint: What negation do you need to add?

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