WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: merge(x,nil()) -> x merge(++(x,y),++(u(),v())) -> ++(x,merge(y,++(u(),v()))) merge(++(x,y),++(u(),v())) -> ++(u(),merge(++(x,y),v())) merge(nil(),y) -> y - Signature: {merge/2} / {++/2,nil/0,u/0,v/0} - Obligation: innermost runtime complexity wrt. defined symbols {merge} and constructors {++,nil,u,v} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- ++ :: ["A"(1) x "A"(1)] -(1)-> "A"(1) ++ :: ["A"(14) x "A"(14)] -(14)-> "A"(14) ++ :: ["A"(0) x "A"(0)] -(0)-> "A"(0) merge :: ["A"(1) x "A"(14)] -(1)-> "A"(0) nil :: [] -(0)-> "A"(14) nil :: [] -(0)-> "A"(1) u :: [] -(0)-> "A"(14) u :: [] -(0)-> "A"(4) v :: [] -(0)-> "A"(14) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "++_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) "nil_A" :: [] -(0)-> "A"(1) "u_A" :: [] -(0)-> "A"(1) "v_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))