Practice Definition of CNF - 3.6 | 3. SAT Problem | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define 'satisfiable' in your own words.

💡 Hint: Think about what it means for a statement to be true or false.

Question 2

Easy

What is the opposite of a satisfiable proposition?

💡 Hint: Consider what it means for something never to be true.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does it mean for a proposition to be 'satisfiable'?

  • It is always true
  • It is false for all assignments
  • It is true for at least one assignment

💡 Hint: Consider the conditions of truth for the proposition.

Question 2

True or False: An unsatisfiable proposition has no truth assignments that make it true.

  • True
  • False

💡 Hint: Think about what 'unsatisfiable' means in context.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the expression (p AND (q OR r)), convert it to CNF and explain your steps.

💡 Hint: Assess if any rules apply that may change the expression's format significantly.

Question 2

How would you encode a Sudoku puzzle as a CNF? Explain the logical structure and possible variables.

💡 Hint: Think about how each condition narrows down your options and must be captured logically.

Challenge and get performance evaluation