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