Practice Conclusion (3.2.6) - SAT Problem - Discrete Mathematics - Vol 1
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Conclusion

Practice - Conclusion

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the SAT problem.

💡 Hint: Think about the 'satisfiability' you learned about.

Question 2 Easy

What is Conjunctive Normal Form?

💡 Hint: Consider how conjunctions and disjunctions interact.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main goal of the SAT problem?

To find every possible truth assignment
To determine if a logical formula has at least one satisfiable assignment
To prove that a logical formula is always true

💡 Hint: Think about what 'satisfiable' means.

Question 2

True or False: A proposition is unsatisfiable if its negation is a tautology.

True
False

💡 Hint: Recall how contradictions relate to tautologies.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the expression ¬(p ∧ q) ∨ (r ∧ ¬s), transform it into CNF.

💡 Hint: Use logical identities and double-check each transformation for correctness.

Challenge 2 Hard

Construct a logical formula that represents a Sudoku puzzle's row condition.

💡 Hint: Think about how to express uniqueness and presence.

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