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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a functionally complete set of logical operators.
💡 Hint: Think of the operations that can represent any logical statement.
Question 2
Easy
State the result of the operation p ∧ ¬p.
💡 Hint: What does AND mean with a statement and 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
Which of the following sets is functionally complete?
- {AND
- OR}
- {AND
- NOT}
- {OR
- NOT}
💡 Hint: Think about how each operator can combine truth values.
Question 2
A proposition is a tautology if its negation is:
- satisfiable
- unsatisfiable
💡 Hint: Remember the definitions of tautology and negation.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the expression (A ∧ B) → (C ∨ D), show through transformations it's equivalent to using only AND and NOT operators.
💡 Hint: What transformations apply to implications in your logical toolkit?
Question 2
Show using resolution that the clauses {¬P, P ∨ Q} and {¬Q} lead to an unsatisfiable conclusion.
💡 Hint: Identify pairs and systematically resolve until you observe a cancellation.
Challenge and get performance evaluation