WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(g(x),y,y) -> g(f(x,x,y)) - Signature: {f/3} / {g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {g} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = Z3} + Details: Signatures used: ---------------- f :: [A(9) x A(0) x A(0)] -(5)-> A(0) g :: [A(9)] -(9)-> A(9) g :: [A(0)] -(0)-> A(0) Cost-free Signatures used: -------------------------- f :: [A_cf(0) x A_cf(0) x A_cf(0)] -(0)-> A_cf(0) g :: [A_cf(0)] -(0)-> A_cf(0) Base Constructor Signatures used: --------------------------------- g_A :: [A(1)] -(1)-> A(1) * Step 2: Open MAYBE - Strict TRS: f(g(x),y,y) -> g(f(x,x,y)) - Signature: {f/3} / {g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {g} Following problems could not be solved: - Strict TRS: f(g(x),y,y) -> g(f(x,x,y)) - Signature: {f/3} / {g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {g} WORST_CASE(?,O(n^1))