YES 1: +(x1,0()) -> x1 2: +(s(x1),x2) -> s(+(x1,x2)) 3: +(x1,x2) -> +(x2,x1) @Jouannaud and Kirchner's criterion --- R 1: +(x1,0()) -> x1 2: +(s(x1),x2) -> s(+(x1,x2)) 3: +(x1,x2) -> +(x2,x1) --- S 1: +(x1,0()) -> x1 2: +(s(x1),x2) -> s(+(x1,x2)) 3: +(x1,x2) -> +(x2,x1)