WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(cons(x,k),l) -> g(k,l,cons(x,k)) f(empty(),l) -> l g(a,b,c) -> f(a,cons(b,c)) - Signature: {f/2,g/3} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {cons,empty} + Applied Processor: Ara {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "cons") :: ["A"(0) x "A"(11)] -(11)-> "A"(11) F (TrsFun "cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "empty") :: [] -(0)-> "A"(11) F (TrsFun "f") :: ["A"(11) x "A"(0)] -(5)-> "A"(0) F (TrsFun "g") :: ["A"(11) x "A"(0) x "A"(0)] -(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 \"empty\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))