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