Practice Lecture - 07 (7.1.1) - Tutorial 1: Part II - Discrete Mathematics - Vol 1
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Lecture - 07

Practice - Lecture - 07

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

List the three functionally complete logical operators.

💡 Hint: Think about basic operations in logic.

Question 2 Easy

What is the negation of p ∧ q?

💡 Hint: Apply De Morgan's law.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following sets of operators is functionally complete?

{AND
NOT}
{OR
NOT}
{AND
OR
NOT}

💡 Hint: Think of basic operations in logic.

Question 2

True or False: p → q is equivalent to ¬p ∨ q.

True
False

💡 Hint: Recall definition of implication.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate the validity of the argument where A, A → B, and B → C lead to C using resolution.

💡 Hint: Apply the resolution method stepwise, canceling variables.

Challenge 2 Hard

You are given ¬(p ∨ q). Show its implications using resolution.

💡 Hint: De Morgan’s laws will be helpful for transformations.

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