WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(a,cons(x,k)) -> f(cons(x,a),k) f(a,empty()) -> g(a,empty()) g(cons(x,k),d) -> g(k,cons(x,d)) g(empty(),d) -> d - Signature: {f/2,g/2} / {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 = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "cons") :: ["A"(15) x "A"(15)] -(15)-> "A"(15) F (TrsFun "cons") :: ["A"(2) x "A"(2)] -(2)-> "A"(2) F (TrsFun "cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "empty") :: [] -(0)-> "A"(15) F (TrsFun "empty") :: [] -(0)-> "A"(2) F (TrsFun "empty") :: [] -(0)-> "A"(14) F (TrsFun "f") :: ["A"(2) x "A"(15)] -(15)-> "A"(0) F (TrsFun "g") :: ["A"(2) x "A"(0)] -(1)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"cons\")_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"empty\")_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))