YES TRS: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) +(s(x),y) -> +(x,s(y)) max/plus interpretations on N: +_A(x1,x2) = max{0, x1, x2} +#_A(x1,x2) = max{0, x1, x2} 0_A = 0 0#_A = 0 s_A(x1) = max{0, x1} s#_A(x1) = max{0, x1} precedence: + > 0 = s