WORST_CASE(?,O(n^1)) * Step 1: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: and(not(not(x)),y,not(z)) -> and(y,band(x,z),x) - Signature: {and/3} / {band/2,not/1} - Obligation: innermost runtime complexity wrt. defined symbols {and} and constructors {band,not} + 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: {and} TcT has computed the following interpretation: p(and) = [8] x1 + [10] x2 + [8] x3 + [0] p(band) = [2] p(not) = [1] x1 + [1] Following rules are strictly oriented: and(not(not(x)),y,not(z)) = [8] x + [10] y + [8] z + [24] > [8] x + [8] y + [20] = and(y,band(x,z),x) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))