Practice - Example of Argument Validation
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Practice Questions
Test your understanding with targeted questions
Define what a clause is in propositional logic.
💡 Hint: Think about how literals combine to form more complex expressions.
What is the resolution rule used for?
💡 Hint: Consider how it helps in logic-based systems.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the resolution rule allow you to do?
💡 Hint: Consider how clauses interact with each other.
True or False: The empty clause indicates that a set of clauses is satisfiable.
💡 Hint: Think about what inconsistency implies.
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Challenge Problems
Push your limits with advanced challenges
Given premises (A → B), (C → D), (¬A), (C), and the conclusion (B), show through resolution refutation that it is valid.
💡 Hint: Follow the paths of resolution through the premises carefully.
Construct a resolution tree for the clauses: (A ∨ B), (¬A ∨ C), (¬B ∨ D), (¬C) and determine if the empty clause is present.
💡 Hint: Identify the steps leading towards the contradictions.
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