WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: main(x1) -> walk#2(x1,Nil()) walk#2(Cons(x12,x14),x16) -> walk#2(x14,Cons(x12,x16)) walk#2(Nil(),x2) -> x2 - Signature: {main/1,walk#2/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,walk#2} and constructors {Cons,Nil} + 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) -> 1 Cons_0(2,2) -> 2 Cons_1(2,2) -> 1 Cons_1(2,2) -> 3 Cons_1(2,3) -> 1 Cons_1(2,3) -> 3 Nil_0() -> 1 Nil_0() -> 2 Nil_1() -> 1 Nil_1() -> 3 main_0(2) -> 1 walk#2_0(2,2) -> 1 walk#2_1(2,3) -> 1 2 -> 1 3 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: main(x1) -> walk#2(x1,Nil()) walk#2(Cons(x12,x14),x16) -> walk#2(x14,Cons(x12,x16)) walk#2(Nil(),x2) -> x2 - Signature: {main/1,walk#2/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,walk#2} and constructors {Cons,Nil} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))