YES(?,O(n^1)) 841.85/297.03 YES(?,O(n^1)) 841.85/297.03 841.85/297.03 We are left with following problem, upon which TcT provides the 841.85/297.03 certificate YES(?,O(n^1)). 841.85/297.03 841.85/297.03 Strict Trs: 841.85/297.03 { +(+(x, y), z) -> +(x, +(y, z)) 841.85/297.03 , +(f(x), +(f(y), z)) -> +(f(+(x, y)), z) 841.85/297.03 , +(f(x), f(y)) -> f(+(x, y)) } 841.85/297.03 Obligation: 841.85/297.03 runtime complexity 841.85/297.03 Answer: 841.85/297.03 YES(?,O(n^1)) 841.85/297.03 841.85/297.03 The problem is match-bounded by 1. The enriched problem is 841.85/297.03 compatible with the following automaton. 841.85/297.03 { +_0(2, 2) -> 1 841.85/297.03 , +_1(2, 2) -> 3 841.85/297.03 , f_0(2) -> 2 841.85/297.03 , f_1(3) -> 1 841.85/297.03 , f_1(3) -> 3 } 841.85/297.03 841.85/297.03 Hurray, we answered YES(?,O(n^1)) 842.08/297.26 EOF