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