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