YES(?,O(n^1)) 0.16/0.23 YES(?,O(n^1)) 0.16/0.23 0.16/0.23 Problem: 0.16/0.23 p(f(f(x))) -> q(f(g(x))) 0.16/0.23 p(g(g(x))) -> q(g(f(x))) 0.16/0.23 q(f(f(x))) -> p(f(g(x))) 0.16/0.23 q(g(g(x))) -> p(g(f(x))) 0.16/0.23 0.16/0.23 Proof: 0.16/0.23 Bounds Processor: 0.16/0.23 bound: 1 0.16/0.23 enrichment: match 0.16/0.23 automaton: 0.16/0.23 final states: {4,3} 0.16/0.23 transitions: 0.16/0.23 p1(27) -> 28* 0.16/0.23 g1(15) -> 16* 0.16/0.23 g1(5) -> 6* 0.16/0.23 g1(18) -> 19* 0.16/0.23 f1(25) -> 26* 0.16/0.23 f1(17) -> 18* 0.16/0.23 f1(6) -> 7* 0.16/0.23 q1(7) -> 8* 0.16/0.23 p0(2) -> 3* 0.16/0.23 p0(1) -> 3* 0.16/0.23 f0(2) -> 1* 0.16/0.23 f0(1) -> 1* 0.16/0.23 q0(2) -> 4* 0.16/0.23 q0(1) -> 4* 0.16/0.23 g0(2) -> 2* 0.16/0.23 g0(1) -> 2* 0.16/0.23 1 -> 25,15 0.16/0.23 2 -> 17,5 0.16/0.23 7 -> 27* 0.16/0.23 8 -> 3* 0.16/0.23 16 -> 6* 0.16/0.23 19 -> 7* 0.16/0.23 26 -> 18* 0.16/0.23 28 -> 4* 0.16/0.23 problem: 0.16/0.23 0.16/0.23 Qed 0.16/0.23 EOF