WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: add0(x,Nil()) -> x add0(x',Cons(x,xs)) -> add0(Cons(Cons(Nil(),Nil()),x'),xs) goal(x,y) -> add0(x,y) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() - Signature: {add0/2,goal/2,notEmpty/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {add0,goal,notEmpty} and constructors {Cons,False,Nil ,True} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "Cons") :: ["A"(7) x "A"(7)] -(7)-> "A"(7) F (TrsFun "Cons") :: ["A"(12) x "A"(12)] -(12)-> "A"(12) F (TrsFun "Cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "False") :: [] -(0)-> "A"(14) F (TrsFun "Nil") :: [] -(0)-> "A"(7) F (TrsFun "Nil") :: [] -(0)-> "A"(12) F (TrsFun "Nil") :: [] -(0)-> "A"(14) F (TrsFun "True") :: [] -(0)-> "A"(14) F (TrsFun "add0") :: ["A"(0) x "A"(7)] -(15)-> "A"(0) F (TrsFun "goal") :: ["A"(14) x "A"(15)] -(16)-> "A"(0) F (TrsFun "notEmpty") :: ["A"(12)] -(8)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"Cons\")_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"False\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"Nil\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"True\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))