WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: @(dd(x,xs),ys) -> dd(x,@(xs,ys)) @(nil(),xs) -> xs flatten(dd(x,xs)) -> @(x,flatten(xs)) flatten(nil()) -> nil() - Signature: {@/2,flatten/1} / {dd/2,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {@,flatten} and constructors {dd,nil} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "@") :: ["A"(3) x "A"(1)] -(2)-> "A"(1) F (TrsFun "dd") :: ["A"(3) x "A"(3)] -(3)-> "A"(3) F (TrsFun "dd") :: ["A"(10) x "A"(10)] -(10)-> "A"(10) F (TrsFun "dd") :: ["A"(1) x "A"(1)] -(1)-> "A"(1) F (TrsFun "flatten") :: ["A"(10)] -(1)-> "A"(1) F (TrsFun "nil") :: [] -(0)-> "A"(3) F (TrsFun "nil") :: [] -(0)-> "A"(10) F (TrsFun "nil") :: [] -(0)-> "A"(8) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"dd\")_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"nil\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))