WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: add0(0(),x2) -> x2 add0(S(x),x2) -> +(S(0()),add0(x2,x)) - Weak TRS: +(x,S(0())) -> S(x) +(S(0()),y) -> S(y) - Signature: {+/2,add0/2} / {0/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {+,add0} and constructors {0,S} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- + :: ["A"(0) x "A"(0)] -(0)-> "A"(0) 0 :: [] -(0)-> "A"(1) 0 :: [] -(0)-> "A"(0) S :: ["A"(1)] -(1)-> "A"(1) S :: ["A"(0)] -(0)-> "A"(0) add0 :: ["A"(1) x "A"(1)] -(1)-> "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))