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1. Simplify: (p p) (p q) 2. Using equivalence laws, demonstrate that the given formula is a tautology: p (p (p q)) 3. Show that

1. Simplify: (p p) (p q)

2. Using equivalence laws, demonstrate that the given formula is a tautology: p (p (p q))

3. Show that the formula is satisfiable using a semantic tableau. (p q) (p q)

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