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