YES 1: +(0(),x1) -> x1 2: +(+(x1,x2),x3) -> +(x1,+(x2,x3)) 3: +(x1,x2) -> +(x2,x1) @Jouannaud and Kirchner's criterion --- R 1: +(0(),x1) -> x1 2: +(+(x1,x2),x3) -> +(x1,+(x2,x3)) 3: +(x1,x2) -> +(x2,x1) --- S 1: +(0(),x1) -> x1 2: +(+(x1,x2),x3) -> +(x1,+(x2,x3)) 3: +(x1,x2) -> +(x2,x1)