WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: app#2(Cons(x6,x4),x2) -> Cons(x6,app#2(x4,x2)) app#2(Nil(),x12) -> x12 main(x2,x1) -> app#2(x2,x1) - Signature: {app#2/2,main/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {app#2,main} 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_0(2,2) -> 3 Cons_1(2,3) -> 1 Cons_1(2,3) -> 3 Nil_0() -> 1 Nil_0() -> 2 Nil_0() -> 3 app#2_0(2,2) -> 1 app#2_1(2,2) -> 1 app#2_1(2,2) -> 3 main_0(2,2) -> 1 2 -> 1 2 -> 3 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: app#2(Cons(x6,x4),x2) -> Cons(x6,app#2(x4,x2)) app#2(Nil(),x12) -> x12 main(x2,x1) -> app#2(x2,x1) - Signature: {app#2/2,main/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {app#2,main} and constructors {Cons,Nil} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))