lec6b-DerviedRules.pdf

lec6b-DerviedRules.pdf

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BITS Pilani Pilani Campus MODULE: PROPOSITIONAL LOGIC Natural Deduction: Derived Rules Sundar B. CS&IS, BITS Pilani 0 23-08-2016 CS/IS F214 Logic in Computer Science

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Modus Tollens 23-08-2016 1 Sundar B. CS&IS, BITS Pilani What is the relation between this and modus ponens? How do you derive it? φ ψ ψ φ MT (modus tollens)
Proof by Contradiction 23-08-2016 2 Sundar B. CS&IS, BITS Pilani One can infer anything from a contradiction. But in this case the contradiction resulted from an assumption i.e. φ . Therefore it is meaningful to infer φ that the assumption

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