Practice - Verification of Logical Identities
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Practice Questions
Test your understanding with targeted questions
Give an example of a tautology.
💡 Hint: Think of statements that are always true.
What is a contradiction?
💡 Hint: Consider statements that can never be true.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a tautology always represent?
💡 Hint: Think of statements that never fail.
Is p ∧ ¬p a tautology?
💡 Hint: Consider if a statement can be both true and false.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
Using logical identities, prove that (p ∨ q) ∧ ¬(p ∧ q) is logically equivalent to p ⊕ q (exclusive or).
💡 Hint: Look for substitutions in common logical identities.
Construct a truth table for p ∨ (q ∧ r) and simplify it using logical identities.
💡 Hint: Consider breaking down into basic components for clarity.
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