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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a set of operators to be functionally complete?
💡 Hint: Think about combining basic logical statements.
Question 2
Easy
Convert the implication 'p → q' using logical operators.
💡 Hint: One operator should represent FALSE.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What are the main logical operators in a functionally complete set?
- Conjunction
- Negation
- Disjunction
- Only Disjunction
- Only Conjunction
💡 Hint: Recall the operators discussed.
Question 2
T or F: A tautology is a proposition that is always false.
- True
- False
💡 Hint: Think about the definition of tautology.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the premises 'p → q', 'q → r', and '¬p', show whether the conclusion '¬r' is valid using resolution.
💡 Hint: Start with negating the conclusion!
Question 2
You are given a chain of implications, can you derive a numeric example using resolution that leads to either a tautology or contradiction?
💡 Hint: Think about testing minimal values to break the chain.
Challenge and get performance evaluation