YES(?,PRIMREC) We are left with following problem, upon which TcT provides the certificate YES(?,PRIMREC). Strict Trs: { rev(a()) -> a() , rev(b()) -> b() , rev(++(x, x)) -> rev(x) , rev(++(x, y)) -> ++(rev(y), rev(x)) } Obligation: innermost runtime complexity Answer: YES(?,PRIMREC) The input was oriented with the instance of'multiset path order' as induced by the precedence rev > b, rev > ++, a > b, a > ++, ++ > b, rev ~ a . Hurray, we answered YES(?,PRIMREC)