YES 1 decompositions #1 ----------- 1: +(0(),x1) -> x1 2: +(s(0()),x2) -> s(x2) 3: +(s(s(x3)),x4) -> s(s(+(x4,x3))) @Knuth and Bendix' criterion --- R 1: +(0(),x1) -> x1 2: +(s(0()),x2) -> s(x2) 3: +(s(s(x3)),x4) -> s(s(+(x4,x3))) --- S 1: +(0(),x1) -> x1 2: +(s(0()),x2) -> s(x2) 3: +(s(s(x3)),x4) -> s(s(+(x4,x3)))