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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a satisfiable proposition.
💡 Hint: Think about truth assignments possible.
Question 2
Easy
What does it mean for a proposition to be unsatisfiable?
💡 Hint: Remember the tautology's role.
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 is a satisfiable proposition?
- It is always false
- It can be true for some assignments
- It cannot be true for any assignments
💡 Hint: Think about when a proposition can be true.
Question 2
True or False: Every unsatisfiable proposition has a negation that is a tautology.
- True
- False
💡 Hint: Consider definitions of unsatisfiability.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the proposition (p → q) ∧ (¬q ∨ r), convert it into conjunctive normal form.
💡 Hint: Remember rules for negations and implications.
Question 2
Explain how a Sudoku puzzle can be encoded as a SAT problem and the implication of each rule.
💡 Hint: Think of how you’ll frame each number’s placement in SAT terms.
Challenge and get performance evaluation