Practice - Example of Logical Equivalence Proof
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Practice Questions
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Define tautology and provide an example.
💡 Hint: Think of an expression that yields true regardless of p’s value.
What does logical equivalence mean?
💡 Hint: Consider statements with identical outcomes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of logical equivalence?
💡 Hint: Think about identical outcomes in different expressions.
A statement that is always true is called a?
💡 Hint: Consider an example that never changes its outcome.
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Challenge Problems
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Prove that (p ∧ q) → r is logically equivalent to ¬(p ∧ q) ∨ r using logical identities.
💡 Hint: Break down the statement systematically, applying identities.
Show that ¬(p ∨ q) is equivalent to ¬p ∧ ¬q, using De Morgan's Law.
💡 Hint: Negation is key in switching from disjunction to conjunction.
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