Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is a clause?
💡 Hint: Think about how clauses are formed.
Define a literal in the context of logic.
💡 Hint: Remember the types of variables in logical expressions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the resolution rule allow us to do?
💡 Hint: Think of how we combine different statements in logic.
True or False: An unsatisfiable set of clauses means they can all be true at the same time.
💡 Hint: Consider the definition of contradiction.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Construct a proof by resolution refutation for the premises P, ¬P ∨ Q, Q → R, and show that the argument is valid or invalid.
💡 Hint: Focus on how negating conclusions can lead to contradictions with premises.
Given clauses A ∨ B, ¬A, and C, derive the resolvent and conclude whether the set is satisfiable.
💡 Hint: Look for common literals to resolve.
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