Practice Sudoku Puzzle Solver (3.2.1) - SAT Problem - Discrete Mathematics

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6 sample questions

Question 1.
Define the SAT problem in your own words.
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Think about truth assignments and propositions.
Question 2.
What is a conjunctive normal form?
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Focus on conjunctions and clauses.
3Question 3.
What does the SAT problem determine?
- The truth of a singular proposition
- The satisfiability of a propositional expression
- The validity of logical deductions
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Recall the purpose of the SAT problem.
4Question 4.
True or False: Every compound proposition is satisfiable.
- True
- False
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Consider definitions of satisfiability.
Question 5.
Given the proposition (p or (not q and r)), prove whether it's satisfiable or unsatisfiable through truth assignment.
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Break down the expression to see how the assignments impact the overall truth.
Question 6.
Create a CNF for the expression (p → (q and r)) and verify its correctness by showing an equivalent expression.
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Use truth tables to show equivalence at every logical step.

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