Practice - Using Resolution for Validity
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Practice Questions
Test your understanding with targeted questions
What does it mean for a set of operators to be functionally complete?
💡 Hint: Think about combining basic logical statements.
Convert the implication 'p → q' using logical operators.
💡 Hint: One operator should represent FALSE.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are the main logical operators in a functionally complete set?
💡 Hint: Recall the operators discussed.
T or F: A tautology is a proposition that is always false.
💡 Hint: Think about the definition of tautology.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
Using the premises 'p → q', 'q → r', and '¬p', show whether the conclusion '¬r' is valid using resolution.
💡 Hint: Start with negating the conclusion!
You are given a chain of implications, can you derive a numeric example using resolution that leads to either a tautology or contradiction?
💡 Hint: Think about testing minimal values to break the chain.
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