WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: dbl(0(),y) -> y dbl(S(0()),S(0())) -> S(S(S(S(0())))) unsafe(0()) -> 0() unsafe(S(x)) -> dbl(unsafe(x),0()) - Signature: {dbl/2,unsafe/1} / {0/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {dbl,unsafe} 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) S :: ["A"(0)] -(0)-> "A"(0) S :: ["A"(2)] -(2)-> "A"(2) dbl :: ["A"(0) x "A"(0)] -(1)-> "A"(0) unsafe :: ["A"(2)] -(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))