WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,x) -> a() f(g(x),y) -> f(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) = 6 p(f) = 9 + 8*x1 + x2 p(g) = 2 + x1 Following rules are strictly oriented: f(x,x) = 9 + 9*x > 6 = a() f(g(x),y) = 25 + 8*x + y > 9 + 8*x + y = f(x,y) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))