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1. Show that the formula is satisfiable using a semantic tableau. (p q) (p q) 2. Simplify: (p p) (p q) 3. Using equivalence laws,

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

2. Simplify: (p p) (p q)

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

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