YES(?,O(n^1)) 78.48/31.10 YES(?,O(n^1)) 78.48/31.10 78.48/31.10 We are left with following problem, upon which TcT provides the 78.48/31.10 certificate YES(?,O(n^1)). 78.48/31.10 78.48/31.10 Strict Trs: 78.48/31.10 { rev(rev(x)) -> x 78.48/31.10 , rev(nil()) -> nil() 78.48/31.10 , rev(++(x, y)) -> ++(rev(y), rev(x)) 78.48/31.10 , ++(x, nil()) -> x 78.48/31.10 , ++(x, ++(y, z)) -> ++(++(x, y), z) 78.48/31.10 , ++(nil(), y) -> y 78.48/31.10 , ++(.(x, y), z) -> .(x, ++(y, z)) 78.48/31.10 , make(x) -> .(x, nil()) } 78.48/31.10 Obligation: 78.48/31.10 innermost runtime complexity 78.48/31.10 Answer: 78.48/31.10 YES(?,O(n^1)) 78.48/31.10 78.48/31.10 The problem is match-bounded by 1. The enriched problem is 78.48/31.10 compatible with the following automaton. 78.48/31.10 { rev_0(2) -> 1 78.48/31.10 , nil_0() -> 1 78.48/31.10 , nil_0() -> 2 78.48/31.10 , nil_0() -> 3 78.48/31.10 , nil_1() -> 1 78.48/31.10 , ++_0(2, 2) -> 1 78.48/31.10 , ++_1(2, 2) -> 3 78.48/31.10 , ._0(2, 2) -> 1 78.48/31.10 , ._0(2, 2) -> 2 78.48/31.10 , ._0(2, 2) -> 3 78.48/31.10 , ._1(2, 1) -> 1 78.48/31.10 , ._1(2, 3) -> 1 78.48/31.10 , ._1(2, 3) -> 3 78.48/31.10 , make_0(2) -> 1 } 78.48/31.10 78.48/31.10 Hurray, we answered YES(?,O(n^1)) 78.48/31.17 EOF