WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: g(x,h(y,z)) -> h(g(x,y),z) g(f(x,y),z) -> f(x,g(y,z)) g(h(x,y),z) -> g(x,f(y,z)) - Signature: {g/2} / {f/2,h/2} - Obligation: innermost runtime complexity wrt. defined symbols {g} and constructors {f,h} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- f :: ["A"(0) x "A"(15)] -(15)-> "A"(15) f :: ["A"(0) x "A"(0)] -(0)-> "A"(0) f :: ["A"(0) x "A"(13)] -(13)-> "A"(13) g :: ["A"(15) x "A"(13)] -(5)-> "A"(0) h :: ["A"(13) x "A"(0)] -(13)-> "A"(13) h :: ["A"(15) x "A"(0)] -(15)-> "A"(15) h :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "f_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "h_A" :: ["A"(1) x "A"(0)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))