Practice Question 9 (7.3) - Tutorial 1: Part II - Discrete Mathematics - Vol 1
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Question 9

Practice - Question 9

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Provide a simple compound proposition in CNF and explain if it is satisfiable.

💡 Hint: Check if you can find a truth assignment.

Question 2 Easy

What does it mean for a proposition to be unsatisfiable?

💡 Hint: Consider logical contradictions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is satisfiability in propositional logic?

A property that makes a statement always true.
The ability to find at least one truth assignment that makes the formula true.
The counting of propositions in a formula.

💡 Hint: Think about the meaning of truth assignments.

Question 2

True or False: A tautology is always satisfiable.

True
False

💡 Hint: Consider the definition of tautology.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the expression (p OR ¬q) AND (¬p OR r), determine all possible truth assignments and their impact on satisfiability.

💡 Hint: Create a detailed truth table mapping variables.

Challenge 2 Hard

Construct a CNF expression that is unsatisfiable and explain why it cannot be satisfied.

💡 Hint: Think of contradictions in logical statements.

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