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(activate(X)) activate(n__g(X)) -> g(activate(X)) f(X) -> n__f(X) f(f(a())) -> c(n__f(n__g(n__f(n__a())))) g(X) -> n__g(X) - Signature: {a/0,activate/1,f/1,g/1} / {c/1,n__a/0,n__f/1,n__g/1} - Obligation: innermost runtime complexity wrt. defined symbols {a,activate,f,g} and constructors {c,n__a,n__f,n__g} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- a :: [] -(1)-> "A"(0) activate :: ["A"(2)] -(2)-> "A"(0) c :: ["A"(0)] -(0)-> "A"(0) f :: ["A"(0)] -(1)-> "A"(0) g :: ["A"(0)] -(1)-> "A"(0) n__a :: [] -(0)-> "A"(2) n__a :: [] -(0)-> "A"(0) n__f :: ["A"(2)] -(2)-> "A"(2) n__f :: ["A"(0)] -(0)-> "A"(0) n__g :: ["A"(2)] -(2)-> "A"(2) n__g :: ["A"(0)] -(0)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "c_A" :: ["A"(0)] -(0)-> "A"(0) "n__a_A" :: [] -(0)-> "A"(0) "n__f_A" :: ["A"(0)] -(0)-> "A"(0) "n__g_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(n^1))