Practice - Dual of Compound Proposition
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Practice Questions
Test your understanding with targeted questions
What is the dual of 'P OR Q'?
💡 Hint: Recall the transformations for OR.
Is the proposition 'P' equal to its dual? Why or why not?
💡 Hint: Think about single literals.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the dual of 'P AND Q'?
💡 Hint: Remember to switch the operations.
If P is equivalent to Q, what can be said about their duals?
💡 Hint: Think of the relationship between duals.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given propositions P, Q, and R, construct a dual of the compound proposition 'P AND (Q OR R)'. What does the resulting dual express?
💡 Hint: Apply the duality rules thoroughly.
Using the properties of duals, prove that if P AND Q is true, then the dual expression should also logically hold. What implications arise?
💡 Hint: Think about the definitions of AND, OR, and their relations.
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