Practice Clause and Literal Definitions - 3.7 | 3. SAT Problem | Discrete Mathematics - Vol 1
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3.7 - Clause and Literal Definitions

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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 conditions under which a proposition can be true.

Question 2

Easy

What is a clause?

💡 Hint: Consider how literals group together.

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

Can a proposition be satisfiable if it is always false?

  • True
  • False

💡 Hint: Remember the definition of unsatisfiable propositions.

Question 2

What is CNF?

  • A disjunction of clauses
  • A conjunction of clauses
  • A single literal

💡 Hint: Think about how logical expressions are structured.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the logical expression (p OR q) AND (¬r OR s), show how to convert it into CNF.

💡 Hint: Check for disjunctions within conjunctions.

Question 2

Create a satisfiable and an unsatisfiable proposition and explain why they fit the definitions.

💡 Hint: Remember the definitions and look for conflicts.

Challenge and get performance evaluation