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Suppose A is a Boolean formula. Let c ( A ) denote the complexity of A and s ( A ) denote the number of

Suppose

A

is a Boolean formula. Let

c (A)

denote the complexity of A and

s (A)

denote the number of subformuals of

A .

Prove using

the induction on the complexity of the formula A that

s (A) 2 c (A) + 1 .

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