WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: foldl#3(x16,Cons(x24,x6)) -> foldl#3(Cons(x24,x16),x6) foldl#3(x2,Nil()) -> x2 main(x1) -> foldl#3(Nil(),x1) - Signature: {foldl#3/2,main/1} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {foldl#3,main} and constructors {Cons,Nil} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. Cons_0(1,1) -> 1 Cons_0(1,1) -> 3 Cons_0(1,2) -> 1 Cons_0(1,2) -> 3 Cons_0(2,1) -> 1 Cons_0(2,1) -> 3 Cons_0(2,2) -> 1 Cons_0(2,2) -> 3 Cons_1(1,1) -> 3 Cons_1(1,1) -> 5 Cons_1(1,2) -> 3 Cons_1(1,2) -> 5 Cons_1(1,5) -> 3 Cons_1(1,5) -> 5 Cons_1(1,6) -> 4 Cons_1(1,6) -> 6 Cons_1(2,1) -> 3 Cons_1(2,1) -> 5 Cons_1(2,2) -> 3 Cons_1(2,2) -> 5 Cons_1(2,5) -> 3 Cons_1(2,5) -> 5 Cons_1(2,6) -> 4 Cons_1(2,6) -> 6 Nil_0() -> 2 Nil_0() -> 3 Nil_1() -> 4 Nil_1() -> 6 foldl#3_0(1,1) -> 3 foldl#3_0(1,2) -> 3 foldl#3_0(2,1) -> 3 foldl#3_0(2,2) -> 3 foldl#3_1(5,1) -> 3 foldl#3_1(5,2) -> 3 foldl#3_1(6,1) -> 4 foldl#3_1(6,2) -> 4 main_0(1) -> 4 main_0(2) -> 4 1 -> 3 2 -> 3 5 -> 3 6 -> 4 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: foldl#3(x16,Cons(x24,x6)) -> foldl#3(Cons(x24,x16),x6) foldl#3(x2,Nil()) -> x2 main(x1) -> foldl#3(Nil(),x1) - Signature: {foldl#3/2,main/1} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {foldl#3,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))