Practice Boolean satisfiability Problem - 12.3 | 12. Intractability: Checking Algorithms | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a Boolean variable?

💡 Hint: Think about binary options.

Question 2

Easy

Define a clause in the context of Boolean logic.

💡 Hint: Recall that literals can be either a variable or its negation.

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 a clause consist of?

  • A conjunction of literals
  • A disjunction of literals
  • An assignment of truth values

💡 Hint: Think about OR and AND definitions.

Question 2

True or False: The Boolean satisfiability problem is a decision problem.

  • True
  • False

💡 Hint: Consider the definition of decision problems in computing.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the Boolean formula (x AND y) OR (NOT x AND z). Given the truth assignments: x=true, y=true, z=false; evaluate whether this is a satisfying assignment.

💡 Hint: Break down each clause to assess its truth.

Question 2

Propose a method to transform the Boolean satisfiability problem into a checking problem. Discuss how this transformation assists in understanding computational difficulties.

💡 Hint: Reflect on limitations of brute-force approaches.

Challenge and get performance evaluation