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 p(f(f(x))) -> q(f(g(x))) 0.16/0.22 p(g(g(x))) -> q(g(f(x))) 0.16/0.22 q(f(f(x))) -> p(f(g(x))) 0.16/0.22 q(g(g(x))) -> p(g(f(x))) 0.16/0.22 0.16/0.22 Proof: 0.16/0.22 Bounds Processor: 0.16/0.22 bound: 1 0.16/0.22 enrichment: match 0.16/0.22 automaton: 0.16/0.22 final states: {5} 0.16/0.22 transitions: 0.16/0.22 p1(21) -> 22* 0.16/0.22 g1(15) -> 16* 0.16/0.22 g1(10) -> 11* 0.16/0.22 f1(14) -> 15* 0.16/0.22 f1(11) -> 12* 0.16/0.22 q1(12) -> 13* 0.16/0.22 p0(5) -> 5* 0.16/0.22 f0(5) -> 5* 0.16/0.22 q0(5) -> 5* 0.16/0.22 g0(5) -> 5* 0.16/0.22 5 -> 14,10 0.16/0.22 12 -> 21* 0.16/0.22 13 -> 5* 0.16/0.22 16 -> 12* 0.16/0.22 22 -> 5* 0.16/0.22 problem: 0.16/0.22 0.16/0.22 Qed 0.16/0.23 EOF