YES(?,O(n^1)) 0.16/0.25 YES(?,O(n^1)) 0.16/0.25 0.16/0.25 Problem: 0.16/0.25 f(f(x)) -> f(c(f(x))) 0.16/0.25 f(f(x)) -> f(d(f(x))) 0.16/0.25 g(c(x)) -> x 0.16/0.25 g(d(x)) -> x 0.16/0.25 g(c(0())) -> g(d(1())) 0.16/0.25 g(c(1())) -> g(d(0())) 0.16/0.25 0.16/0.25 Proof: 0.16/0.25 Bounds Processor: 0.16/0.25 bound: 1 0.16/0.25 enrichment: match 0.16/0.25 automaton: 0.16/0.25 final states: {6,5} 0.16/0.25 transitions: 0.16/0.25 g1(11) -> 12* 0.16/0.25 d1(10) -> 11* 0.16/0.25 01() -> 13* 0.16/0.25 11() -> 10* 0.16/0.25 f0(2) -> 5* 0.16/0.25 f0(4) -> 5* 0.16/0.25 f0(1) -> 5* 0.16/0.25 f0(3) -> 5* 0.16/0.25 c0(2) -> 1* 0.16/0.25 c0(4) -> 1* 0.16/0.25 c0(1) -> 1* 0.16/0.25 c0(3) -> 1* 0.16/0.25 d0(2) -> 2* 0.16/0.25 d0(4) -> 2* 0.16/0.25 d0(1) -> 2* 0.16/0.25 d0(3) -> 2* 0.16/0.25 g0(2) -> 6* 0.16/0.25 g0(4) -> 6* 0.16/0.25 g0(1) -> 6* 0.16/0.25 g0(3) -> 6* 0.16/0.25 00() -> 3* 0.16/0.25 10() -> 4* 0.16/0.25 1 -> 6* 0.16/0.25 2 -> 6* 0.16/0.25 3 -> 6* 0.16/0.25 4 -> 6* 0.16/0.25 10 -> 12,6 0.16/0.25 12 -> 6* 0.16/0.25 13 -> 10* 0.16/0.25 problem: 0.16/0.25 0.16/0.25 Qed 0.16/0.25 EOF