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