12.3 - Boolean satisfiability Problem
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Practice Questions
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What is a Boolean variable?
💡 Hint: Think about binary options.
Define a clause in the context of Boolean logic.
💡 Hint: Recall that literals can be either a variable or its negation.
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Interactive Quizzes
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What does a clause consist of?
💡 Hint: Think about OR and AND definitions.
True or False: The Boolean satisfiability problem is a decision problem.
💡 Hint: Consider the definition of decision problems in computing.
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Challenge Problems
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Consider the Boolean formula (x AND y) OR (NOT x AND z). Given the truth assignments: x=true, y=true, z=false; evaluate whether this is a satisfying assignment.
💡 Hint: Break down each clause to assess its truth.
Propose a method to transform the Boolean satisfiability problem into a checking problem. Discuss how this transformation assists in understanding computational difficulties.
💡 Hint: Reflect on limitations of brute-force approaches.
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