WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) - Signature: {*/2} / {+/2} - Obligation: innermost runtime complexity wrt. defined symbols {*} and constructors {+} + 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: uargs(+) = {1,2} Following symbols are considered usable: {*} TcT has computed the following interpretation: p(*) = 7 + 8*x2 p(+) = 3 + x1 + x2 Following rules are strictly oriented: *(x,+(y,z)) = 31 + 8*y + 8*z > 17 + 8*y + 8*z = +(*(x,y),*(x,z)) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))