WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) - Signature: {ackin/2,u21/2} / {ackout/1,s/1,u22/1} - Obligation: innermost runtime complexity wrt. defined symbols {ackin,u21} and constructors {ackout,s,u22} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- ackin :: ["A"(0) x "A"(2)] -(0)-> "A"(2) ackout :: ["A"(2)] -(2)-> "A"(2) s :: ["A"(0)] -(0)-> "A"(0) s :: ["A"(2)] -(2)-> "A"(2) u21 :: ["A"(2) x "A"(0)] -(1)-> "A"(2) u22 :: ["A"(2)] -(2)-> "A"(2) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "ackout_A" :: ["A"(0)] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) "u22_A" :: ["A"(0)] -(0)-> "A"(0) WORST_CASE(?,O(n^1))