Practice Unsatisfiable Proposition (3.3) - SAT Problem - Discrete Mathematics - Vol 1
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Unsatisfiable Proposition

Practice - Unsatisfiable Proposition

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a satisfiable proposition.

💡 Hint: Think about what it means for something to be true.

Question 2 Easy

Give an example of a tautological statement.

💡 Hint: Consider statements that cover all possibilities.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a satisfiable proposition?

A proposition that is always false
A proposition that is true at least once
A tautology

💡 Hint: Think about what it means for an expression to be true in logic.

Question 2

Is 'p and not p' satisfiable?

True
False

💡 Hint: Consider the logic of contradiction.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove whether the proposition 'A or (B and not B)' is satisfiable or unsatisfiable.

💡 Hint: Look for truth assignments for each variable.

Challenge 2 Hard

Convert the equivalent of '(p and q) implies r' to CNF.

💡 Hint: Apply implications and understand distribution rules.

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Reference links

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