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