WORST_CASE(?,O(1)) * Step 1: NaturalMI WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: *(x,0()) -> 0() *(*(x,y),z) -> *(x,*(y,z)) *(1(),y) -> y *(i(x),x) -> 1() - Signature: {*/2} / {0/0,1/0,i/1} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {0,1,i} + 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(*) = {2} Following symbols are considered usable: {*} TcT has computed the following interpretation: p(*) = [2] x1 + [1] x2 + [8] p(0) = [8] p(1) = [4] p(i) = [9] Following rules are strictly oriented: *(x,0()) = [2] x + [16] > [8] = 0() *(*(x,y),z) = [4] x + [2] y + [1] z + [24] > [2] x + [2] y + [1] z + [16] = *(x,*(y,z)) *(1(),y) = [1] y + [16] > [1] y + [0] = y *(i(x),x) = [1] x + [26] > [4] = 1() Following rules are (at-least) weakly oriented: WORST_CASE(?,O(1))