MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { le(s(x), s(y)) -> le(x, y) , le(s(x), 0()) -> false() , le(0(), y) -> true() , double(s(x)) -> s(s(double(x))) , double(0()) -> 0() , log(s(x)) -> loop(s(x), s(0()), 0()) , log(0()) -> logError() , loop(x, s(y), z) -> if(le(x, s(y)), x, s(y), z) , if(false(), x, y, z) -> loop(x, double(y), s(z)) , if(true(), x, y, z) -> z , maplog(xs) -> mapIter(xs, nil()) , mapIter(xs, ys) -> ifmap(isempty(xs), xs, ys) , ifmap(false(), xs, ys) -> mapIter(droplast(xs), cons(log(last(xs)), ys)) , ifmap(true(), xs, ys) -> ys , isempty(nil()) -> true() , isempty(cons(x, xs)) -> false() , droplast(nil()) -> nil() , droplast(cons(x, nil())) -> nil() , droplast(cons(x, cons(y, xs))) -> cons(x, droplast(cons(y, xs))) , last(nil()) -> error() , last(cons(x, nil())) -> x , last(cons(x, cons(y, xs))) -> last(cons(y, xs)) , a() -> b() , a() -> c() } Obligation: innermost runtime complexity Answer: MAYBE The input cannot be shown compatible Arrrr..