WORST_CASE(?,O(n^1)) * Step 1: NaturalMI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: goal(xs,ys) -> revapp(xs,ys) revapp(Cons(x,xs),rest) -> revapp(xs,Cons(x,rest)) revapp(Nil(),rest) -> rest - Signature: {goal/2,revapp/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {goal,revapp} and constructors {Cons,Nil} + 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: {goal,revapp} TcT has computed the following interpretation: p(Cons) = [1] x2 + [1] p(Nil) = [1] p(goal) = [9] x1 + [12] x2 + [9] p(revapp) = [9] x1 + [8] x2 + [8] Following rules are strictly oriented: goal(xs,ys) = [9] xs + [12] ys + [9] > [9] xs + [8] ys + [8] = revapp(xs,ys) revapp(Cons(x,xs),rest) = [8] rest + [9] xs + [17] > [8] rest + [9] xs + [16] = revapp(xs,Cons(x,rest)) revapp(Nil(),rest) = [8] rest + [17] > [1] rest + [0] = rest Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))