Practice Application Of Sat Problem (3.2) - SAT Problem - Discrete Mathematics

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6 sample questions

Question 1.
What is the definition of a satisfiable proposition?
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Think about what it means for an expression to be true.
Question 2.
What does CNF stand for?
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Recall how logical statements are structured in CNF.
3Question 3.
What is the definition of SAT?
- Check if a statement can be satisfied
- Only validate truths
- Make any statement true
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Think about the main function of SAT.
4Question 4.
True or False: The SAT problem is easy to solve for all logical expressions.
- True
- False
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Consider the challenges discussed in the SAT problem.
Question 5.
Given the expression (p AND (q OR r)) → (s AND t), rewrite it in CNF form.
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Start by rewriting implications and then apply distribution.
Question 6.
Prove that the expression (p AND ¬q) OR (¬p AND q) is unsatisfiable if p = true and q = false.
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Analyze how truth values interact within the clauses.

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