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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what functionally complete means.
💡 Hint: Think about which logical operations are necessary to represent all truths.
Question 2
Easy
What is the negation of 'p AND q'?
💡 Hint: Use De Morgan's Law to find this.
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 is a functionally complete set of logical operators?
- A set of operators that can express all propositions
- A set that only consists of negation
- Any random set of operators
💡 Hint: Consider the ability to represent various logical outcomes.
Question 2
Is the statement 'p AND q → r' a valid argument?
- True
- False
💡 Hint: Think about what you need to ensure a conclusion is valid.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove using resolution that the argument 'p ∨ q, ¬q ⟹ p' is valid.
💡 Hint: Sketch out the resolution tree to visualize.
Question 2
Construct a truth table for the statement 'p → (q ∧ r)' and determine its validity.
💡 Hint: Remember, a true conclusion arises from all true premises.
Challenge and get performance evaluation