WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: sum(0()) -> 0() sum(s(x)) -> +(sum(x),s(x)) sum1(0()) -> 0() sum1(s(x)) -> s(+(sum1(x),+(x,x))) - Signature: {sum/1,sum1/1} / {+/2,0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {sum,sum1} and constructors {+,0,s} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- + :: ["A"(0) x "A"(0)] -(0)-> "A"(0) 0 :: [] -(0)-> "A"(1) 0 :: [] -(0)-> "A"(0) s :: ["A"(1)] -(1)-> "A"(1) s :: ["A"(0)] -(0)-> "A"(0) sum :: ["A"(1)] -(1)-> "A"(0) sum1 :: ["A"(1)] -(1)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "+_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) "0_A" :: [] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(n^1))