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