WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) +(s(x),y) -> s(+(x,y)) not(false()) -> true() not(true()) -> false() odd(0()) -> false() odd(s(x)) -> not(odd(x)) - Signature: {+/2,not/1,odd/1} / {0/0,false/0,s/1,true/0} - Obligation: innermost runtime complexity wrt. defined symbols {+,not,odd} and constructors {0,false,s,true} + Applied Processor: Ara {araHeuristics = Heuristics, minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- + :: ["A"(1) x "A"(1)] -(1)-> "A"(0) 0 :: [] -(0)-> "A"(1) 0 :: [] -(0)-> "A"(2) false :: [] -(0)-> "A"(0) not :: ["A"(0)] -(1)-> "A"(0) odd :: ["A"(2)] -(1)-> "A"(0) s :: ["A"(1)] -(1)-> "A"(1) s :: ["A"(2)] -(2)-> "A"(2) s :: ["A"(0)] -(0)-> "A"(0) true :: [] -(0)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "0_A" :: [] -(0)-> "A"(0) "false_A" :: [] -(0)-> "A"(0) "s_A" :: ["A"(0)] -(0)-> "A"(0) "true_A" :: [] -(0)-> "A"(0) WORST_CASE(?,O(n^1))