Refutation theorem - Study guides, Class notes & Summaries
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CS161 Theorems Questions and Answers | New One | Grade A+
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Refutation Theorem 
Ans: ∆╞ α iff ∆^¬α is inconsistent. 
Modus Ponens 
Ans: If the knowledge base contains α and α⇒β, then add β to the knowledge base. 
Modus Tollens 
Ans: If knowledge base contains α⇒β and ¬β, then add ¬α to knowledge base. 
∆╞ α 
Ans: ∆ entails α, M(∆) is a subset of M(α), therefore α logically follows from ∆. 
Decomposable 
Ans: If α ^ β appears in NNF, then vars(α)∩vars(β)=∅. Basically, α and β shouldn't share 
variables. DNN...
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CS161 Theorems Exam With Questions And Correct Answers
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