YES TRS: times(x,0()) -> 0() times(x,s(y)) -> plus(times(x,y),x) plus(x,0()) -> x plus(0(),x) -> x plus(x,s(y)) -> s(plus(x,y)) plus(s(x),y) -> s(plus(x,y)) max/plus interpretations on N: times_A(x1,x2) = max{3, 4 + x1, 3} times#_A(x1,x2) = max{5, 5, 3} 0_A = 4 0#_A = 4 s_A(x1) = max{3, 4} s#_A(x1) = max{1, -1} plus_A(x1,x2) = max{4, x1, 1 + x2} plus#_A(x1,x2) = max{0, 2, 2} precedence: times > 0 = plus > s