YES(?,ELEMENTARY) 'epo* (timeout of 60.0 seconds)' -------------------------------- Answer: YES(?,ELEMENTARY) Input Problem: innermost runtime-complexity with respect to Rules: { D(t()) -> 1() , D(constant()) -> 0() , D(+(x, y)) -> +(D(x), D(y)) , D(*(x, y)) -> +(*(y, D(x)), *(x, D(y))) , D(-(x, y)) -> -(D(x), D(y))} Proof Output: Strict Rules in Predicative Notation: { D(t();) -> 1() , D(constant();) -> 0() , D(+(; x, y);) -> +(; D(x;), D(y;)) , D(*(; x, y);) -> +(; *(; y, D(x;)), *(; x, D(y;))) , D(-(; x, y);) -> -(; D(x;), D(y;))} Safe Mapping: safe(D) = {}, safe(t) = {}, safe(1) = {}, safe(constant) = {}, safe(0) = {}, safe(+) = {1, 2}, safe(*) = {1, 2}, safe(-) = {1, 2} Argument Permutation: mu(D) = [1] Precedence: D ~ D