WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: append(cons(x,xs),ys) -> cons(x,append(xs,ys)) append(nil(),ys) -> ys main(xs) -> append(xs,nil()) - Signature: {append/2,main/1} / {cons/2,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {append,main} and constructors {cons,nil} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "append") :: ["A"(9) x "A"(1)] -(5)-> "A"(1) F (TrsFun "cons") :: ["A"(0) x "A"(9)] -(9)-> "A"(9) F (TrsFun "cons") :: ["A"(0) x "A"(1)] -(1)-> "A"(1) F (TrsFun "main") :: ["A"(15)] -(16)-> "A"(0) F (TrsFun "nil") :: [] -(0)-> "A"(9) F (TrsFun "nil") :: [] -(0)-> "A"(13) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"cons\")_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"nil\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))