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