WORST_CASE(?,O(n^1)) * Step 1: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,x) -> a() f(g(x),y) -> f(x,y) - Signature: {f/2} / {a/0,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {a,g} + 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: none Following symbols are considered usable: {f} TcT has computed the following interpretation: p(a) = [0] p(f) = [2] x1 + [4] p(g) = [1] x1 + [13] Following rules are strictly oriented: f(x,x) = [2] x + [4] > [0] = a() f(g(x),y) = [2] x + [30] > [2] x + [4] = f(x,y) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))