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 {minDegree = 1, maxDegree = 2, araTimeout = 3, araRuleShifting = Nothing} + Details: Signatures used: ---------------- F (TrsFun "Cons") :: ["A"(15) x "A"(15)] -(15)-> "A"(15) F (TrsFun "Cons") :: ["A"(0) x "A"(0)] -(0)-> "A"(0) F (TrsFun "Nil") :: [] -(0)-> "A"(15) F (TrsFun "Nil") :: [] -(0)-> "A"(14) F (TrsFun "Nil") :: [] -(0)-> "A"(0) F (TrsFun "fleft_op_e_xs_1") :: [] -(0)-> "A"(2) F (TrsFun "fleft_op_e_xs_1") :: [] -(0)-> "A"(14) F (TrsFun "foldr#3") :: ["A"(15)] -(1)-> "A"(2) F (TrsFun "main") :: ["A"(15)] -(12)-> "A"(0) F (TrsFun "rev_l") :: [] -(0)-> "A"(0) F (TrsFun "rev_l") :: [] -(0)-> "A"(14) F (TrsFun "rev_l#2") :: ["A"(0) x "A"(0)] -(1)-> "A"(0) F (TrsFun "step_x_f") :: ["A"(0) x "A"(2) x "A"(2)] -(2)-> "A"(2) F (TrsFun "step_x_f#1") :: ["A"(0) x "A"(0) x "A"(2) x "A"(0)] -(7)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "F (TrsFun \"Cons\")_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "F (TrsFun \"Nil\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"fleft_op_e_xs_1\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"rev_l\")_A" :: [] -(0)-> "A"(1) "F (TrsFun \"step_x_f\")_A" :: ["A"(0) x "A"(0) x "A"(0)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))