YES 1 decompositions #1 ----------- 1: +(0(),x1) -> x1 2: +(s(x2),x3) -> s(+(x2,x3)) 3: +(x4,0()) -> x4 4: +(x5,s(x6)) -> s(+(x5,x6)) @Knuth and Bendix' criterion --- R 1: +(0(),x1) -> x1 2: +(s(x2),x3) -> s(+(x2,x3)) 3: +(x4,0()) -> x4 4: +(x5,s(x6)) -> s(+(x5,x6)) --- S 1: +(0(),x1) -> x1 2: +(s(x2),x3) -> s(+(x2,x3)) 3: +(x4,0()) -> x4 4: +(x5,s(x6)) -> s(+(x5,x6))