WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: main(x20) -> walk#1(x20) walk#1(Cons(x4,x7)) -> comp_f_g(walk#1(x7),cons1_x(x4)) walk#1(Nil()) -> id() - Signature: {main/1,walk#1/1} / {Cons/2,Nil/0,comp_f_g/2,cons1_x/1,id/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,walk#1} and constructors {Cons,Nil,comp_f_g,cons1_x ,id} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. Cons_0(2,2) -> 2 Nil_0() -> 2 comp_f_g_0(2,2) -> 2 comp_f_g_1(1,3) -> 1 cons1_x_0(2) -> 2 cons1_x_1(2) -> 3 id_0() -> 2 id_1() -> 1 main_0(2) -> 1 walk#1_0(2) -> 1 walk#1_1(2) -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: main(x20) -> walk#1(x20) walk#1(Cons(x4,x7)) -> comp_f_g(walk#1(x7),cons1_x(x4)) walk#1(Nil()) -> id() - Signature: {main/1,walk#1/1} / {Cons/2,Nil/0,comp_f_g/2,cons1_x/1,id/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,walk#1} and constructors {Cons,Nil,comp_f_g,cons1_x ,id} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))