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