Practice Unsatisfiable Proposition - 3.3 | 3. SAT Problem | Discrete Mathematics - Vol 1
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3.3 - Unsatisfiable Proposition

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a satisfiable proposition.

💡 Hint: Think about what it means for something to be true.

Question 2

Easy

Give an example of a tautological statement.

💡 Hint: Consider statements that cover all possibilities.

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 satisfiable proposition?

  • A proposition that is always false
  • A proposition that is true at least once
  • A tautology

💡 Hint: Think about what it means for an expression to be true in logic.

Question 2

Is 'p and not p' satisfiable?

  • True
  • False

💡 Hint: Consider the logic of contradiction.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove whether the proposition 'A or (B and not B)' is satisfiable or unsatisfiable.

💡 Hint: Look for truth assignments for each variable.

Question 2

Convert the equivalent of '(p and q) implies r' to CNF.

💡 Hint: Apply implications and understand distribution rules.

Challenge and get performance evaluation