XDI analysis of Sequencer

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME Sequencer)
  4>     (SYMBOLS 
  5>       (a0 INPUT) (a1 INPUT) (b INPUT) (c0 OUTPUT)
  6>       (c1 OUTPUT)
  7>     )
  8> 
  9>     (STATES
 10>       (0 INITIAL BOX)
 11>       (1 BOX)
 12>       (2 BOX)
 13>       (4 BOX)
 14>       (3 BOX)
 15>       (5 TRANSIENT)
 16>       (6 TRANSIENT)
 17>       (7 TRANSIENT)
 18>     )
 19>     (TRANSITIONS
 20>       (0 1 a0) (0 2 a1) (0 4 b)
 21>       (1 3 a1) (1 5 b)
 22>       (2 3 a0) (2 6 b)
 23>       (4 5 a0) (4 6 a1)
 24>       (3 7 b)
 25>       (5 7 a1) (5 0 c0)
 26>       (6 7 a0) (6 0 c1)
 27>       (7 2 c0) (7 1 c1)
 28>     )
 29>   )
 30> )
-----------------------------------------------------------------------------

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

Statistics

5 symbols:

3 input and 2 output

8 states:

0 demanding, 5 indifferent and 3 transient

16 transitions:

12 input and 4 output

Automorphisms (symmetries)

There are 2 automorphisms.

Finest Semi-independent Partition

/ a0 a1 b c0 c1 /

Choice, Order Dependence, Nondeterminism

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

  7

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

  5 6

• Output Non-Deterministic

Distances

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

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

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

Shortest paths from initial state:

0:
1:	a0
2:	a1
4:	b
3:	a0 a1
5:	a0 b
6:	a1 b
7:	a0 a1 b

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

d:	h	[c]
0:	1	[1]
1:	3	[4]
2:	3	[7]
3:	1	[8]

Autocomparison Matrix

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

XDI Validity

'Sequencer' is a valid XDI specification.