Practice - Satisfiability of a Compound Proposition
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Practice Questions
Test your understanding with targeted questions
Rewrite the implication 'p → q' using conjunction and negation.
💡 Hint: Think about how implications can be transformed into disjunctions.
Is the proposition 'True OR False' satisfiable? Why?
💡 Hint: Remember, any disjunction is satisfied if at least one part is True.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does it mean for a proposition to be satisfiable?
💡 Hint: Think about the conditions that define satisfiability.
True or False: A compound proposition can be satisfiable and a tautology at the same time.
💡 Hint: Reflect on the definitions of tautologies versus satisfiability.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the proposition '(p AND q) OR (NOT r)', find a truth assignment that satisfies it.
💡 Hint: Look to satisfy any part of the disjunction.
Formulate a proof showing that having just the negation operator can still create a valid logical expression.
💡 Hint: Think about how negation transforms the logical landscape.
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