YES(?,O(n^1)) 16.62/9.08 YES(?,O(n^1)) 16.62/9.08 16.62/9.08 We are left with following problem, upon which TcT provides the 16.62/9.08 certificate YES(?,O(n^1)). 16.62/9.08 16.62/9.08 Strict Trs: 16.62/9.08 { minus(minus(x)) -> x 16.62/9.08 , minux(+(x, y)) -> +(minus(y), minus(x)) 16.62/9.08 , +(minus(x), +(x, y)) -> y 16.62/9.08 , +(+(x, y), minus(y)) -> x } 16.62/9.08 Obligation: 16.62/9.08 derivational complexity 16.62/9.08 Answer: 16.62/9.08 YES(?,O(n^1)) 16.62/9.08 16.62/9.08 The problem is match-bounded by 1. The enriched problem is 16.62/9.08 compatible with the following automaton. 16.62/9.08 { minus_0(1) -> 1 16.62/9.08 , minus_0(1) -> 2 16.62/9.08 , minus_0(1) -> 3 16.62/9.08 , minus_1(1) -> 1 16.62/9.08 , minus_1(1) -> 2 16.62/9.08 , minus_1(1) -> 3 16.62/9.08 , minus_1(2) -> 1 16.62/9.08 , minus_1(2) -> 2 16.62/9.08 , minus_1(2) -> 3 16.62/9.08 , minus_1(3) -> 1 16.62/9.08 , minus_1(3) -> 2 16.62/9.08 , minus_1(3) -> 3 16.62/9.08 , minux_0(1) -> 1 16.62/9.08 , minux_0(1) -> 2 16.62/9.08 , minux_0(1) -> 3 16.62/9.08 , +_0(1, 1) -> 1 16.62/9.08 , +_0(1, 1) -> 2 16.62/9.08 , +_0(1, 1) -> 3 16.62/9.08 , +_1(2, 3) -> 1 16.62/9.08 , +_1(2, 3) -> 2 16.62/9.08 , +_1(2, 3) -> 3 } 16.62/9.08 16.62/9.08 Hurray, we answered YES(?,O(n^1)) 16.62/9.09 EOF