YES TRS: not(true()) -> false() not(false()) -> true() odd(0()) -> false() odd(s(x)) -> not(odd(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) +(s(x),y) -> s(+(x,y)) linear polynomial interpretations on N: not_A(x1) = x1 + 2 not#_A(x1) = x1 + 2 true_A = 2 true#_A = 2 false_A = 1 false#_A = 1 odd_A(x1) = x1 + 1 odd#_A(x1) = x1 + 1 0_A = 2 0#_A = 2 s_A(x1) = x1 + 4 s#_A(x1) = x1 + 4 +_A(x1,x2) = x1 + x2 +#_A(x1,x2) = x1 + x2 precedence: true = 0 = + > false = s > odd > not