Practice Unsatisfiability Proof via Resolution - 7.7.1 | 7. Tutorial 1: Part II | Discrete Mathematics - Vol 1
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Practice Questions

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Question 1

Easy

Define Functional Completeness.

💡 Hint: Think about what it means to be able to express all logical relationships.

Question 2

Easy

What is a clause in logic?

💡 Hint: Consider how you might use clauses in logical expressions.

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 does functional completeness mean?

  • Ability to represent all logical statements
  • Ability to represent only simple statements
  • Ability to represent temporal logic

💡 Hint: Think about logic as a complete system.

Question 2

True or False: All logical expressions can be transformed using a combination of negation and disjunction.

  • True
  • False

💡 Hint: Consider functional completeness again.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Demonstrate how the expression (p ∨ q), (¬p), and (¬q) leads to unsatisfiability using resolution.

💡 Hint: Track all resolutions carefully to find contradictions.

Question 2

Construct a logical expression that uses only disjunction and negation, proving its functional completeness through resolution.

💡 Hint: Think about how to represent conjunction using the operators available.

Challenge and get performance evaluation