YES(?,O(n^1)) 0.16/0.22 YES(?,O(n^1)) 0.16/0.22 0.16/0.22 Problem: 0.16/0.22 f(f(x,a()),a()) -> f(f(f(x,a()),f(a(),a())),a()) 0.16/0.22 0.16/0.22 Proof: 0.16/0.22 Bounds Processor: 0.16/0.22 bound: 2 0.16/0.22 enrichment: match 0.16/0.22 automaton: 0.16/0.22 final states: {3} 0.16/0.22 transitions: 0.16/0.22 f1(3,9) -> 11* 0.16/0.22 f1(10,9) -> 11* 0.16/0.22 f1(11,8) -> 10,3 0.16/0.22 f1(8,8) -> 9* 0.16/0.22 f1(3,8) -> 10* 0.16/0.22 a1() -> 8* 0.16/0.22 f2(11,12) -> 14* 0.16/0.22 f2(14,13) -> 15* 0.16/0.22 f2(15,12) -> 10* 0.16/0.22 f2(12,12) -> 13* 0.16/0.22 f0(3,3) -> 3* 0.16/0.22 a2() -> 12* 0.16/0.22 a0() -> 3* 0.16/0.22 problem: 0.16/0.22 0.16/0.22 Qed 0.16/0.24 EOF