WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a() -> n__a() activate(X) -> X activate(n__a()) -> a() activate(n__f(X)) -> f(X) activate(n__g(X)) -> g(X) f(X) -> n__f(X) f(n__f(n__a())) -> f(n__g(f(n__a()))) g(X) -> n__g(X) - Signature: {a/0,activate/1,f/1,g/1} / {n__a/0,n__f/1,n__g/1} - Obligation: innermost runtime complexity wrt. defined symbols {a,activate,f,g} and constructors {n__a,n__f,n__g} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- a :: [] -(9)-> "A"(0) activate :: ["A"(14)] -(10)-> "A"(0) f :: ["A"(12)] -(8)-> "A"(0) g :: ["A"(0)] -(9)-> "A"(4) n__a :: [] -(0)-> "A"(14) n__a :: [] -(0)-> "A"(12) n__f :: ["A"(14)] -(14)-> "A"(14) n__f :: ["A"(12)] -(12)-> "A"(12) n__f :: ["A"(4)] -(4)-> "A"(4) n__g :: ["A"(0)] -(0)-> "A"(14) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "n__a_A" :: [] -(0)-> "A"(1) "n__f_A" :: ["A"(0)] -(1)-> "A"(1) "n__g_A" :: ["A"(0)] -(0)-> "A"(1) WORST_CASE(?,O(n^1))