GATE | CS | 2013 | Digital Logic | Logic | Question 47

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Which one of the following is NOT logically equivalent to ¬∃x(∀y(α)∧∀z(β))?

∀x(∃z(¬β)->∀y(α))

∀x(∀z(β)->∃y(¬α))

∀x(∀y(α)->∃z(¬β))

∀x(∃y(¬α)->∃z(¬β))

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