WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: fold#3(Cons(x4,x2)) -> plus#2(x4,fold#3(x2)) fold#3(Nil()) -> 0() main(x1) -> fold#3(x1) plus#2(0(),x12) -> x12 plus#2(S(x4),x2) -> S(plus#2(x4,x2)) - Signature: {fold#3/1,main/1,plus#2/2} / {0/0,Cons/2,Nil/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {fold#3,main,plus#2} and constructors {0,Cons,Nil,S} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "0") :: [] -(0)-> "A"(8) F (TrsFun "0") :: [] -(0)-> "A"(14) F (TrsFun "Cons") :: ["A"(15) x "A"(15)] -(15)-> "A"(15) F (TrsFun "Nil") :: [] -(0)-> "A"(15) F (TrsFun "S") :: ["A"(8)] -(8)-> "A"(8) F (TrsFun "S") :: ["A"(0)] -(0)-> "A"(0) F (TrsFun "fold#3") :: ["A"(15)] -(1)-> "A"(0) F (TrsFun "main") :: ["A"(15)] -(9)-> "A"(0) F (TrsFun "plus#2") :: ["A"(8) x "A"(0)] -(8)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"0\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"Cons\")_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"Nil\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"S\")_A" :: ["A"(1)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))