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{2, -1, 1 + x2} +#_A(x1,x2) = max{1, 0, 1} 0_A = 1 0#_A = 2 s_A(x1) = max{2, x1} s#_A(x1) = max{1, 1} -_A(x1,x2) = max{0, x1, 0} -#_A(x1,x2) = max{0, 1, 3} precedence: + = - > 0 = s