WORST_CASE(?,O(n^1)) * Step 1: NaturalPI WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: p(m,n,s(r)) -> p(m,r,n) p(m,0(),0()) -> m p(m,s(n),0()) -> p(0(),n,m) - Signature: {p/3} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {p} and constructors {0,s} + 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: {p} TcT has computed the following interpretation: p(0) = 0 p(p) = 1 + 8*x1 + 4*x2 + 4*x3 p(s) = 4 + x1 Following rules are strictly oriented: p(m,n,s(r)) = 17 + 8*m + 4*n + 4*r > 1 + 8*m + 4*n + 4*r = p(m,r,n) p(m,0(),0()) = 1 + 8*m > m = m p(m,s(n),0()) = 17 + 8*m + 4*n > 1 + 4*m + 4*n = p(0(),n,m) Following rules are (at-least) weakly oriented: WORST_CASE(?,O(n^1))