Practice Definition Of Satisfiability (3.2) - SAT Problem - Discrete Mathematics - Vol 1
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Definition of Satisfiability

Practice - Definition of Satisfiability

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define satisfiability in your own words.

💡 Hint: Think about conditions needed for a proposition to be true.

Question 2 Easy

What is the meaning of a tautology?

💡 Hint: Consider an expression that never fails.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does it mean for a proposition to be satisfiable?

It is always false
It can be true under certain variable assignments
It is always true

💡 Hint: Think of when a statement holds true.

Question 2

True or False: A tautology is a proposition that can never be true.

💡 Hint: Consider the definition of a tautology.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the following proposition, determine if it's satisfiable: (p ∨ q) ∧ (¬p ∧ r).

💡 Hint: Try different combinations of truth assignments.

Challenge 2 Hard

Explain how you would convert the compound proposition ¬(p ∧ q) into CNF.

💡 Hint: Look for simplifications through negations.

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