Practice Validity of Argument - 7.4.1 | 7. Tutorial 1: Part II | Discrete Mathematics - Vol 1
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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 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.

Practice 2 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

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Challenge Problems

Push your limits with challenges.

Question 1

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

💡 Hint: Use De Morgan’s laws.

Question 2

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

💡 Hint: Show steps leading to empty resolvent.

Challenge and get performance evaluation