Practice - Logical Equivalence
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Practice Questions
Test your understanding with targeted questions
Define what a tautology is and give an example.
💡 Hint: Think of statements that cannot be false.
What does the statement 'p if and only if q' represent?
💡 Hint: Consider when both statements hold the same truth values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of logical equivalence?
💡 Hint: Think of the relationship between truth values.
True or False: A contradiction is a statement that is always true.
💡 Hint: Consider its definition.
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Challenge Problems
Push your limits with advanced challenges
Prove that (p → q) and ¬(p ∧ ¬q) are logically equivalent using any logical identities.
💡 Hint: Start with rewriting one statement and use identities.
Use truth tables to establish the equivalence of (p ∨ q) and ¬(¬p ∧ ¬q).
💡 Hint: Outline all possibilities for p and q.
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Reference links
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