Practice - Unsatisfiability Proof via Resolution
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Practice Questions
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Define Functional Completeness.
💡 Hint: Think about what it means to be able to express all logical relationships.
What is a clause in logic?
💡 Hint: Consider how you might use clauses in logical expressions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does functional completeness mean?
💡 Hint: Think about logic as a complete system.
True or False: All logical expressions can be transformed using a combination of negation and disjunction.
💡 Hint: Consider functional completeness again.
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Challenge Problems
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Demonstrate how the expression (p ∨ q), (¬p), and (¬q) leads to unsatisfiability using resolution.
💡 Hint: Track all resolutions carefully to find contradictions.
Construct a logical expression that uses only disjunction and negation, proving its functional completeness through resolution.
💡 Hint: Think about how to represent conjunction using the operators available.
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