XDI analysis of Mixer

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME Mixer)
  4>     (SYMBOLS 
  5>       (r0 INPUT) (a0 OUTPUT) (r1 INPUT) (a1 OUTPUT)
  6>       (r OUTPUT) (a INPUT)
  7>     )
  8> 
  9>     (STATES
 10>       (0 INITIAL BOX)
 11>       (1 TRANSIENT)
 12>       (2 TRANSIENT)
 13>       (3 TRANSIENT)
 14>       (4 BOX)
 15>       (5 BOX)
 16>       (6 BOX)
 17>       (7 TRANSIENT)
 18>       (8 TRANSIENT)
 19>       (9 TRANSIENT)
 20>       (10 TRANSIENT)
 21>       (11 TRANSIENT)
 22>     )
 23>     (TRANSITIONS
 24>       (0 1 r0) (0 2 r1)
 25>       (1 3 r1) (1 4 r)
 26>       (2 3 r0) (2 5 r)
 27>       (3 6 r)
 28>       (4 6 r1) (4 7 a)
 29>       (5 6 r0) (5 8 a)
 30>       (6 9 a)
 31>       (7 0 a0) (7 9 r1)
 32>       (8 9 r0) (8 0 a1)
 33>       (9 2 a0) (9 1 a1) (9 10 r)
 34>       (10 5 a0) (10 4 a1) (10 11 a)
 35>       (11 8 a0) (11 7 a1)
 36>     )
 37>   )
 38> )
-----------------------------------------------------------------------------

Mixer: warning: interpretation not given. Assuming 'Verhoeff/XDI'
Mixer: 1 warning, 0 errors.

Statistics

6 symbols:

3 input and 3 output

12 states:

0 demanding, 4 indifferent and 8 transient

24 transitions:

12 input and 12 output

Automorphisms (symmetries)

0:	r0	a0	r1	a1	r	a
0:	r1	a1	r0	a0	r	a

Finest Semi-independent Partition

/ r0 a0 / r1 a1 / r a /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Z^inp)
• Disabling outputs (Z^out) in state(s):

  9 10

• Order-Independent input (Y^inp)
• Order-Independent output (Y^out)
• Output refusal sets do NOT propagate backward over inputs in state(s):

  7 8

• Output Non-Deterministic

Distances

All states are reachable from the initial state:
[ + == 9 < distance < +inf , . == distance = +inf ]

											1	1
	0	1	2	3	4	5	6	7	8	9	0	1
0:	0	1	1	2	2	2	3	3	3	4	5	6

Initial state reachable from all states.
All states reachable from all other states.

Shortest paths from initial state:

0:
1:	r0
2:	r1
3:	r0 r1
4:	r0 r
5:	r1 r
6:	r0 r1 r
7:	r0 r a
8:	r1 r a
9:	r0 r1 r a
10:	r0 r1 r a r
11:	r0 r1 r a r a

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]

d:	h	[ c]
0:	1	[ 1]
1:	2	[ 3]
2:	3	[ 6]
3:	3	[ 9]
4:	1	[10]
5:	1	[11]
6:	1	[12]

Autocomparison Matrix

There are no state pairs (x,y) where x refines y outside the diagonal.

XDI Validity

'Mixer' is a valid XDI specification.