Practice Practical Implications Of The Sat Problem (3.4)

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6 sample questions

Question 1.
Define a satisfiable proposition.
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Think of a scenario where a statement can be true.
Question 2.
What is the main goal of the SAT problem?
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Consider what you are checking when solving a logical equation.
3Question 3.
What defines a satisfiable proposition?
- It can be true under no truth assignments.
- It can be true under at least one truth assignment.
- It is always false.
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Think about the definitions we went through.
4Question 4.
True or False: Every logical expression can be converted to CNF.
- True
- False
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Recall that CNF is a standard form.
Question 5.
Given the proposition P ↔ Q, convert it to CNF and explain each transformation step.
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Start by recalling the logical identities that define bi-implications.
Question 6.
Design a simple Sudoku solver algorithm using the SAT approach. Describe the propositional variables and constraints you'll implement.
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Think through each Sudoku rule to encode your requirements.

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