WORST_CASE(?,O(1)) * Step 1: NaturalMI WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: f(0()) -> cons(0()) f(s(0())) -> f(p(s(0()))) p(s(0())) -> 0() - Signature: {f/1,p/1} / {0/0,cons/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,p} and constructors {0,cons,s} + 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(f) = {1} Following symbols are considered usable: {f,p} TcT has computed the following interpretation: p(0) = [1] p(cons) = [1] p(f) = [2] x1 + [0] p(p) = [9] p(s) = [11] Following rules are strictly oriented: f(0()) = [2] > [1] = cons(0()) f(s(0())) = [22] > [18] = f(p(s(0()))) p(s(0())) = [9] > [1] = 0() Following rules are (at-least) weakly oriented: WORST_CASE(?,O(1))