WORST_CASE(?,O(n^1)) * Step 1: NaturalMI 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: NaturalMI {miDimension = 1, miDegree = 1, miKind = Algebraic, uargs = UArgs, urules = URules, selector = Nothing} + Details: We apply a matrix interpretation of kind constructor based matrix interpretation: The following argument positions are considered usable: uargs(b) = {1} Following symbols are considered usable: {a} TcT has computed the following interpretation: p(a) = [10] x1 + [0] p(b) = [1] x1 + [1] Following rules are strictly oriented: a(b(x)) = [10] x + [10] > [10] x + [2] = b(b(a(x))) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))