Practice - Tutorial 1: Part II
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Practice Questions
Test your understanding with targeted questions
Define a functionally complete set of logical operators.
💡 Hint: Think of the operations that can represent any logical statement.
State the result of the operation p ∧ ¬p.
💡 Hint: What does AND mean with a statement and its negation?
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following sets is functionally complete?
💡 Hint: Think about how each operator can combine truth values.
A proposition is a tautology if its negation is:
💡 Hint: Remember the definitions of tautology and negation.
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Challenge Problems
Push your limits with advanced challenges
Given the expression (A ∧ B) → (C ∨ D), show through transformations it's equivalent to using only AND and NOT operators.
💡 Hint: What transformations apply to implications in your logical toolkit?
Show using resolution that the clauses {¬P, P ∨ Q} and {¬Q} lead to an unsatisfiable conclusion.
💡 Hint: Identify pairs and systematically resolve until you observe a cancellation.
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