YES(?,O(n^1)) 113.86/42.10 YES(?,O(n^1)) 113.86/42.10 113.86/42.10 We are left with following problem, upon which TcT provides the 113.86/42.10 certificate YES(?,O(n^1)). 113.86/42.10 113.86/42.10 Strict Trs: 113.86/42.10 { a(a(f(x, y))) -> f(a(b(a(b(a(x))))), a(b(a(b(a(y)))))) 113.86/42.10 , f(a(x), a(y)) -> a(f(x, y)) 113.86/42.10 , f(b(x), b(y)) -> b(f(x, y)) } 113.86/42.10 Obligation: 113.86/42.10 runtime complexity 113.86/42.10 Answer: 113.86/42.10 YES(?,O(n^1)) 113.86/42.10 113.86/42.10 The problem is match-bounded by 1. The enriched problem is 113.86/42.10 compatible with the following automaton. 113.86/42.10 { a_0(3) -> 1 113.86/42.10 , f_0(3, 3) -> 2 113.86/42.10 , f_1(3, 3) -> 4 113.86/42.10 , b_0(3) -> 3 113.86/42.10 , b_1(4) -> 2 113.86/42.10 , b_1(4) -> 4 } 113.86/42.10 113.86/42.10 Hurray, we answered YES(?,O(n^1)) 113.86/42.19 EOF