WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} + 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: {r1,rev} TcT has computed the following interpretation: p(cons) = 4 + x2 p(empty) = 3 p(r1) = 4 + 5*x1 + x2 p(rev) = 9 + 11*x1 Following rules are strictly oriented: r1(cons(x,k),a) = 24 + a + 5*k > 8 + a + 5*k = r1(k,cons(x,a)) r1(empty(),a) = 19 + a > a = a rev(ls) = 9 + 11*ls > 7 + 5*ls = r1(ls,empty()) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))