WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a(b(x)) -> b(b(a(x))) - Signature: {a/1} / {b/1} - Obligation: innermost runtime complexity wrt. defined symbols {a} and constructors {b} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: Signatures used: ---------------- a :: [A(4)] -(0)-> A(0) b :: [A(4)] -(4)-> A(4) b :: [A(0)] -(0)-> A(0) Cost-free Signatures used: -------------------------- a :: [A_cf(0)] -(0)-> A_cf(0) b :: [A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- b_A :: [A(1)] -(1)-> A(1) * Step 2: Open MAYBE - Strict TRS: a(b(x)) -> b(b(a(x))) - Signature: {a/1} / {b/1} - Obligation: innermost runtime complexity wrt. defined symbols {a} and constructors {b} Following problems could not be solved: - Strict TRS: a(b(x)) -> b(b(a(x))) - Signature: {a/1} / {b/1} - Obligation: innermost runtime complexity wrt. defined symbols {a} and constructors {b} WORST_CASE(?,O(n^1))