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