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Structural Induction on WFF For a formula ? ? WFF we let `(?) denote the number...

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Advance Math

Structural Induction on WFF For a formula ? ? WFF we let `(?)denote the number of symbols in ? that are left brackets ‘(’, letv(?) the number of variable symbols, and c(?) the number of symbolsthat are the corner symbol ‘¬’. For example in ((p1 ? p2) ? ((¬p1)? p2)) we have `(?) = 4, v(?) = 4 and c(?) = 1. Prove by inductionthat he following property holds for all well formed formulas: •`(?) = v(?) + c(?) ? 1

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