WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__d(X)) -> d(X) activate(n__f(X)) -> f(activate(X)) activate(n__g(X)) -> g(X) c(X) -> d(activate(X)) d(X) -> n__d(X) f(X) -> n__f(X) f(f(X)) -> c(n__f(n__g(n__f(X)))) g(X) -> n__g(X) h(X) -> c(n__d(X)) - Signature: {activate/1,c/1,d/1,f/1,g/1,h/1} / {n__d/1,n__f/1,n__g/1} - Obligation: innermost runtime complexity wrt. defined symbols {activate,c,d,f,g,h} and constructors {n__d,n__f,n__g} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- activate :: ["A"(11)] -(2)-> "A"(2) c :: ["A"(11)] -(6)-> "A"(10) d :: ["A"(0)] -(1)-> "A"(13) f :: ["A"(2)] -(10)-> "A"(2) g :: ["A"(0)] -(1)-> "A"(9) h :: ["A"(14)] -(12)-> "A"(2) n__d :: ["A"(0)] -(0)-> "A"(11) n__d :: ["A"(0)] -(0)-> "A"(15) n__f :: ["A"(11)] -(11)-> "A"(11) n__f :: ["A"(2)] -(2)-> "A"(2) n__f :: ["A"(0)] -(0)-> "A"(0) n__g :: ["A"(0)] -(0)-> "A"(11) n__g :: ["A"(0)] -(0)-> "A"(12) n__g :: ["A"(0)] -(0)-> "A"(9) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "n__d_A" :: ["A"(0)] -(0)-> "A"(1) "n__f_A" :: ["A"(0)] -(1)-> "A"(1) "n__g_A" :: ["A"(0)] -(0)-> "A"(1) WORST_CASE(?,O(n^1))