Practice Validity Of Argument (7.4.1) - Tutorial 1: Part II - Discrete Mathematics - Vol 1
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Validity of Argument

Practice - Validity of Argument

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does it mean for a set of logical operators to be functionally complete?

💡 Hint: Think about how implications can be rewritten.

Question 2 Easy

Give an example of a logical identity.

💡 Hint: Consider basic logical operations.

2 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following sets of operators is functionally complete?

AND
OR
NOT
AND
OR
NOT

💡 Hint: Think about binary logic and operations.

Question 2

If a compound proposition is satisfiable, it means?

True
False

💡 Hint: Consider what satisfiability entails.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate the functional completeness of the set {OR, NOT}. Show how to construct conjunction from these.

💡 Hint: Use De Morgan’s laws.

Challenge 2 Hard

Using resolution refutation, prove that the premises {p, q} entail the conclusion ¬r.

💡 Hint: Show steps leading to empty resolvent.

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