Practice - Proof by Resolution Refutation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does the resolution rule allow us to do?
💡 Hint: Think about how conclusions can be derived from premises.
Define what a resolvent is.
💡 Hint: Consider the new information created from resolving clauses.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the resolution rule allow?
💡 Hint: Focus on the key action that the resolution rule performs.
Does an empty clause indicate a valid argument?
💡 Hint: Consider what it means if you reach no clauses.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the premises: 'If A, then B' (A → B), 'If B, then C' (B → C) and 'A', show through resolution refutation that the conclusion 'C' is valid.
💡 Hint: Focus on deriving new clauses step-by-step and watch for the empty clause.
Create a proof by resolution refutation for the premises: 'X ∨ Y' and '¬X', concluding 'Y'.
💡 Hint: Combine the premises carefully and track resolutions leading to your conclusion.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.