WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: foldr#3(Cons(x16,x6)) -> step_x_f(rev_l(),x16,foldr#3(x6)) foldr#3(Nil()) -> fleft_op_e_xs_1() main(Cons(x8,x9)) -> step_x_f#1(rev_l(),x8,foldr#3(x9),Nil()) main(Nil()) -> Nil() rev_l#2(x8,x10) -> Cons(x10,x8) step_x_f#1(rev_l(),x5,fleft_op_e_xs_1(),x3) -> rev_l#2(x3,x5) step_x_f#1(rev_l(),x5,step_x_f(x2,x3,x4),x1) -> step_x_f#1(x2,x3,x4,rev_l#2(x1,x5)) - Signature: {foldr#3/1,main/1,rev_l#2/2,step_x_f#1/4} / {Cons/2,Nil/0,fleft_op_e_xs_1/0,rev_l/0,step_x_f/3} - Obligation: innermost runtime complexity wrt. defined symbols {foldr#3,main,rev_l#2,step_x_f#1} and constructors {Cons ,Nil,fleft_op_e_xs_1,rev_l,step_x_f} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(15) x "A"(15)] -(15)-> "A"(15) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Nil :: [] -(0)-> "A"(15) Nil :: [] -(0)-> "A"(7) fleft_op_e_xs_1 :: [] -(0)-> "A"(9) fleft_op_e_xs_1 :: [] -(0)-> "A"(15) foldr#3 :: ["A"(15)] -(1)-> "A"(9) main :: ["A"(15)] -(3)-> "A"(0) rev_l :: [] -(0)-> "A"(0) rev_l :: [] -(0)-> "A"(15) rev_l#2 :: ["A"(0) x "A"(0)] -(1)-> "A"(0) step_x_f :: ["A"(9) x "A"(9) x "A"(9)] -(9)-> "A"(9) step_x_f#1 :: ["A"(0) x "A"(0) x "A"(9) x "A"(0)] -(8)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Cons_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) "fleft_op_e_xs_1_A" :: [] -(0)-> "A"(1) "rev_l_A" :: [] -(0)-> "A"(1) "step_x_f_A" :: ["A"(0) x "A"(0) x "A"(0)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))