YES(?,POLY) 'Pop* with parameter subtitution (timeout of 60.0 seconds)' ----------------------------------------------------------- Answer: YES(?,POLY) Input Problem: innermost runtime-complexity with respect to Rules: { rev(ls) -> r1(ls, empty()) , r1(empty(), a) -> a , r1(cons(x, k), a) -> r1(k, cons(x, a))} Proof Output: The input was oriented with the instance of POP* as induced by the precedence rev > r1 and safe mapping safe(rev) = {}, safe(r1) = {2}, safe(empty) = {}, safe(cons) = {1, 2} . For your convenience, here is the input in predicative notation: Rules: { rev(ls;) -> r1(ls; empty()) , r1(empty(); a) -> a , r1(cons(; x, k); a) -> r1(k; cons(; x, a))}