*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: foldl#3(x16,Cons(x24,x6)) -> foldl#3(Cons(x24,x16),x6) foldl#3(x2,Nil()) -> x2 main(x1) -> foldl#3(Nil(),x1) Weak DP Rules: Weak TRS Rules: Signature: {foldl#3/2,main/1} / {Cons/2,Nil/0} Obligation: Innermost basic terms: {foldl#3,main}/{Cons,Nil} Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} Proof: 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 foldl#3_0(2,2) -> 1 foldl#3_1(3,2) -> 1 main_0(2) -> 1 2 -> 1 3 -> 1 *** 1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: 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 basic terms: {foldl#3,main}/{Cons,Nil} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).