YES(?,O(n^1))
0.16/0.27	YES(?,O(n^1))
0.16/0.27	
0.16/0.27	Problem:
0.16/0.27	 f(f(x)) -> f(c(f(x)))
0.16/0.27	 f(f(x)) -> f(d(f(x)))
0.16/0.27	 g(c(x)) -> x
0.16/0.27	 g(d(x)) -> x
0.16/0.27	 g(c(h(0()))) -> g(d(1()))
0.16/0.27	 g(c(1())) -> g(d(h(0())))
0.16/0.27	 g(h(x)) -> g(x)
0.16/0.27	
0.16/0.27	Proof:
0.16/0.27	 Bounds Processor:
0.16/0.27	  bound: 2
0.16/0.27	  enrichment: match
0.16/0.27	  automaton:
0.16/0.27	   final states: {8}
0.16/0.27	   transitions:
0.16/0.27	    g1(32) -> 33*
0.16/0.27	    g1(24) -> 25*
0.16/0.27	    g1(48) -> 49*
0.16/0.27	    d1(17) -> 18*
0.16/0.27	    d1(23) -> 24*
0.16/0.27	    h1(26) -> 27*
0.16/0.27	    01() -> 26*
0.16/0.27	    11() -> 23*
0.16/0.27	    f1(15) -> 16*
0.16/0.27	    f1(13) -> 14*
0.16/0.27	    c1(42) -> 43*
0.16/0.27	    c1(14) -> 15*
0.16/0.27	    f2(34) -> 35*
0.16/0.27	    f2(36) -> 37*
0.16/0.27	    f0(8) -> 8*
0.16/0.27	    d2(46) -> 47*
0.16/0.27	    c0(8) -> 8*
0.16/0.27	    c2(35) -> 36*
0.16/0.27	    d0(8) -> 8*
0.16/0.27	    g2(53) -> 54*
0.16/0.27	    g0(8) -> 8*
0.16/0.27	    h0(8) -> 8*
0.16/0.27	    00() -> 8*
0.16/0.27	    10() -> 8*
0.16/0.27	    8 -> 33,32,13
0.16/0.27	    14 -> 17*
0.16/0.27	    15 -> 34*
0.16/0.27	    16 -> 14,42,17,8
0.16/0.27	    18 -> 15*
0.16/0.27	    23 -> 25*
0.16/0.27	    25 -> 8*
0.16/0.27	    26 -> 53,48
0.16/0.27	    27 -> 23*
0.16/0.27	    33 -> 8*
0.16/0.27	    35 -> 46*
0.16/0.27	    37 -> 14,17
0.16/0.27	    43 -> 15*
0.16/0.27	    47 -> 36*
0.16/0.27	    49 -> 33*
0.16/0.27	    54 -> 33*
0.16/0.27	  problem:
0.16/0.27	   
0.16/0.27	  Qed
0.16/0.27	EOF