Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is a tautology? Give an example.
💡 Hint: Think of a logical disjunction that includes both a variable and its negation.
Define contradiction and provide an example.
💡 Hint: Consider a logical conjunction that cannot logically be true.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of a tautology?
💡 Hint: Think of a logical expression that is universally true.
Is the statement 'p ∧ ¬p' a contradiction?
💡 Hint: Consider the logical compatibility of p and its negation.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove that ¬(p ∨ q) is logically equivalent to ¬p ∧ ¬q.
💡 Hint: Recall how negation interacts with disjunctions.
Show that (p → q) ↔ (¬q → ¬p) using a truth table.
💡 Hint: Typical truth tables can help clarify the relationships between implications.
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Reference links
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