WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: a(b(x)) -> a(c(b(x))) - Signature: {a/1} / {b/1,c/1} - Obligation: innermost runtime complexity wrt. defined symbols {a} and constructors {b,c} + 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: {a} TcT has computed the following interpretation: p(a) = 9 + 2*x1 p(b) = 8 p(c) = 4 Following rules are strictly oriented: a(b(x)) = 25 > 17 = a(c(b(x))) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))