3.7.56 Rewrites Tutorial Exercise 5 ----------------------------------- If ‘x’ is the sum ‘a + b’, then ‘nterms(X)’ must be ‘nterms(A)’ plus ‘nterms(B)’. If ‘x’ is not a sum, then ‘nterms(X)’ = 1. [ nterms(a + b) := nterms(a) + nterms(b), nterms(x) := 1 ] Here we have taken advantage of the fact that earlier rules always match before later rules; ‘nterms(x)’ will only be tried if we already know that ‘x’ is not a sum.