WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,a()) -> x f(x,g(y)) -> f(g(x),y) - Signature: {f/2} / {a/0,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {a,g} + Applied Processor: NaturalPI {shape = Linear, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing} + Details: We apply a polynomial interpretation of kind constructor-based(linear): The following argument positions are considered usable: none Following symbols are considered usable: {f} TcT has computed the following interpretation: p(a) = 2 p(f) = 2 + 8*x1 + 9*x2 p(g) = 1 + x1 Following rules are strictly oriented: f(x,a()) = 20 + 8*x > x = x f(x,g(y)) = 11 + 8*x + 9*y > 10 + 8*x + 9*y = f(g(x),y) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))