WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: compS_f#1(compS_f(x2),x1) -> compS_f#1(x2,S(x1)) compS_f#1(id(),x3) -> S(x3) iter#3(0()) -> id() iter#3(S(x6)) -> compS_f(iter#3(x6)) main(0()) -> 0() main(S(x9)) -> compS_f#1(iter#3(x9),0()) - Signature: {compS_f#1/2,iter#3/1,main/1} / {0/0,S/1,compS_f/1,id/0} - Obligation: innermost runtime complexity wrt. defined symbols {compS_f#1,iter#3,main} and constructors {0,S,compS_f,id} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- 0 :: [] -(0)-> "A"(2) 0 :: [] -(0)-> "A"(0) S :: ["A"(2)] -(2)-> "A"(2) S :: ["A"(0)] -(0)-> "A"(0) compS_f :: ["A"(1)] -(1)-> "A"(1) compS_f#1 :: ["A"(1) x "A"(0)] -(1)-> "A"(0) id :: [] -(0)-> "A"(1) iter#3 :: ["A"(2)] -(1)-> "A"(1) main :: ["A"(2)] -(1)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "0_A" :: [] -(0)-> "A"(0) "S_A" :: ["A"(0)] -(0)-> "A"(0) "compS_f_A" :: ["A"(0)] -(0)-> "A"(0) "id_A" :: [] -(0)-> "A"(0) WORST_CASE(?,O(n^1))