WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: div2(0()) -> 0() div2(S(0())) -> 0() div2(S(S(x))) -> +(S(0()),div2(x)) - Weak TRS: +(x,S(0())) -> S(x) +(S(0()),y) -> S(y) - Signature: {+/2,div2/1} / {0/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {+,div2} 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) div2 :: ["A"(1)] -(2)-> "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))