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