WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: and(not(not(x)),y,not(z)) -> and(y,band(x,z),x) - Signature: {and/3} / {band/2,not/1} - Obligation: innermost runtime complexity wrt. defined symbols {and} and constructors {band,not} + 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: {and} TcT has computed the following interpretation: p(and) = x1 + 2*x2 p(band) = 8 p(not) = 10 + x1 Following rules are strictly oriented: and(not(not(x)),y,not(z)) = 20 + x + 2*y > 16 + y = and(y,band(x,z),x) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))