YES(?,POLY) 'Pop* (timeout of 60.0 seconds)' -------------------------------- Answer: YES(?,POLY) Input Problem: innermost runtime-complexity with respect to Rules: { app(nil(), xs) -> nil() , app(cons(x, xs), ys) -> cons(x, app(xs, ys))} Proof Output: The input was oriented with the instance of POP* as induced by the precedence empty and safe mapping safe(app) = {2}, safe(nil) = {}, safe(cons) = {1, 2} . For your convenience, here is the input in predicative notation: Rules: { app(nil(); xs) -> nil() , app(cons(; x, xs); ys) -> cons(; x, app(xs; ys))}