WORST_CASE(?,O(n^1)) * Step 1: Ara 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: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: Signatures used: ---------------- Cons :: [A(0) x A(12)] -(12)-> A(12) Cons :: [A(0) x A(0)] -(0)-> A(0) Nil :: [] -(0)-> A(12) Nil :: [] -(0)-> A(9) foldl#3 :: [A(0) x A(12)] -(4)-> A(0) main :: [A(13)] -(12)-> A(0) Cost-free Signatures used: -------------------------- Cons :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Nil :: [] -(0)-> A_cf(0) foldl#3 :: [A_cf(0) x A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- Cons_A :: [A(0) x A(1)] -(1)-> A(1) Nil_A :: [] -(0)-> A(1) * Step 2: Open MAYBE - 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} Following problems could not be solved: - 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} WORST_CASE(?,O(n^1))