YES(?,PRIMREC) We are left with following problem, upon which TcT provides the certificate YES(?,PRIMREC). Strict Trs: { bin(x, 0()) -> s(0()) , bin(0(), s(y)) -> 0() , bin(s(x), s(y)) -> +(bin(x, s(y)), bin(x, y)) } Obligation: innermost runtime complexity Answer: YES(?,PRIMREC) The input was oriented with the instance of'multiset path order' as induced by the precedence bin > +, 0 > +, s > +, bin ~ 0, bin ~ s, 0 ~ s . Hurray, we answered YES(?,PRIMREC)