YES TRS: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,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} -_A(x1,x2) = max{1, 1 + x1, 1 + x2} -#_A(x1,x2) = max{1, 1 + x1, 1 + x2} precedence: + = 0 > s = -