YES(?,ELEMENTARY) 'epo* (timeout of 60.0 seconds)' -------------------------------- Answer: YES(?,ELEMENTARY) Input Problem: innermost runtime-complexity with respect to Rules: { plus(x, 0()) -> x , plus(x, s(y)) -> s(plus(x, y)) , double(x) -> plus(x, x)} Proof Output: Strict Rules in Predicative Notation: { plus(0(); x) -> x , plus(s(; y); x) -> s(; plus(y; x)) , double(x;) -> plus(x; x)} Safe Mapping: safe(plus) = {1}, safe(0) = {}, safe(s) = {1}, safe(double) = {} Argument Permutation: mu(plus) = [1, 2], mu(double) = [1] Precedence: double ~ double, double > plus, plus ~ plus