WORST_CASE(?,O(n^1)) * Step 1: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a(b(x)) -> a(c(b(x))) - Signature: {a/1} / {b/1,c/1} - Obligation: innermost runtime complexity wrt. defined symbols {a} and constructors {b,c} + 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: {a} TcT has computed the following interpretation: p(a) = [14] x1 + [2] p(b) = [1] x1 + [1] p(c) = [0] Following rules are strictly oriented: a(b(x)) = [14] x + [16] > [2] = a(c(b(x))) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))