WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__from(X)) -> from(X) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) sel(0(),cons(X,Y)) -> X sel(s(X),cons(Y,Z)) -> sel(X,activate(Z)) - Signature: {activate/1,from/1,sel/2} / {0/0,cons/2,n__from/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {activate,from,sel} and constructors {0,cons,n__from,s} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- 0 :: [] -(0)-> "A"(3) activate :: ["A"(0)] -(2)-> "A"(0) cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) from :: ["A"(0)] -(1)-> "A"(0) n__from :: ["A"(0)] -(0)-> "A"(0) s :: ["A"(3)] -(3)-> "A"(3) s :: ["A"(0)] -(0)-> "A"(0) sel :: ["A"(3) x "A"(0)] -(1)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "0_A" :: [] -(0)-> "A"(0) "cons_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(0) "n__from_A" :: ["A"(0)] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(n^1))