WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: anchored(Cons(x,xs),y) -> anchored(xs,Cons(Cons(Nil(),Nil()),y)) anchored(Nil(),y) -> y goal(x,y) -> anchored(x,y) - Signature: {anchored/2,goal/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {anchored,goal} and constructors {Cons,Nil} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "Cons") :: ["A"(0) x "A"(2)] -(2)-> "A"(2) F (TrsFun "Cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "Nil") :: [] -(0)-> "A"(2) F (TrsFun "Nil") :: [] -(0)-> "A"(14) F (TrsFun "Nil") :: [] -(0)-> "A"(10) F (TrsFun "anchored") :: ["A"(2) x "A"(0)] -(14)-> "A"(0) F (TrsFun "goal") :: ["A"(6) x "A"(8)] -(15)-> "A"(0) 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))