XDI analysis of S

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME S)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (a0 INPUT)
  9>               (b INPUT)
 10>               (a1 INPUT)
 11>               (a2 INPUT)
 12>               (c0 OUTPUT)
 13>               (c1 OUTPUT)
 14>               (c2 OUTPUT)
 15>      )
 16>      (STATES 
 17>         (0 BOX INITIAL)
 18>         (1 BOX)
 19>         (2 BOX)
 20>         (3 BOX)
 21>         (4 BOX)
 22>         (5 BOX)
 23>         (6 TRANSIENT)
 24>         (7 BOX)
 25>         (8 BOX)
 26>         (9 TRANSIENT)
 27>         (10 TRANSIENT)
 28>         (11 BOX)
 29>         (12 TRANSIENT)
 30>         (13 TRANSIENT)
 31>         (14 TRANSIENT)
 32>         (15 TRANSIENT)
 33>      )
 34>      (TRANSITIONS
 35>          (0 1 a0)
 36>          (0 2 b)
 37>          (0 3 a1)
 38>          (0 4 a2)
 39>          (1 14 b)
 40>          (1 11 a1)
 41>          (1 5 a2)
 42>          (2 14 a0)
 43>          (2 12 a1)
 44>          (2 6 a2)
 45>          (3 11 a0)
 46>          (3 12 b)
 47>          (3 7 a2)
 48>          (4 5 a0)
 49>          (4 6 b)
 50>          (4 7 a1)
 51>          (5 15 b)
 52>          (5 8 a1)
 53>          (6 15 a0)
 54>          (6 9 a1)
 55>          (6 0 c2)
 56>          (7 8 a0)
 57>          (7 9 b)
 58>          (8 10 b)
 59>          (9 10 a0)
 60>          (9 4 c1)
 61>          (9 3 c2)
 62>          (10 7 c0)
 63>          (10 5 c1)
 64>          (10 11 c2)
 65>          (11 13 b)
 66>          (11 8 a2)
 67>          (12 13 a0)
 68>          (12 9 a2)
 69>          (12 0 c1)
 70>          (13 10 a2)
 71>          (13 3 c0)
 72>          (13 1 c1)
 73>          (14 13 a1)
 74>          (14 15 a2)
 75>          (14 0 c0)
 76>          (15 10 a1)
 77>          (15 4 c0)
 78>          (15 1 c2)
 79>      )
 80> ))
-----------------------------------------------------------------------------

Statistics

7 symbols:

4 input and 3 output

16 states:

0 demanding, 9 indifferent and 7 transient

44 transitions:

32 input and 12 output

Automorphisms (symmetries)

0:	a0	b	a1	a2	c0	c1	c2
0:	a0	b	a2	a1	c0	c2	c1
0:	a1	b	a0	a2	c1	c0	c2
0:	a1	b	a2	a0	c1	c2	c0
0:	a2	b	a0	a1	c2	c0	c1
0:	a2	b	a1	a0	c2	c1	c0

Finest Semi-independent Partition

/ a0 b a1 a2 c0 c1 c2 /

Choice, Order Dependence, Nondeterminism

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

  9 10 13 15

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

  6 9 12 13 14 15

• Output Non-Deterministic

Distances

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

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

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

Shortest paths from initial state:

0:
1:	a0
2:	b
3:	a1
4:	a2
5:	a0 a2
6:	b a2
7:	a1 a2
8:	a0 a1 a2
9:	b a1 a2
10:	a0 b a1 a2
11:	a0 a1
12:	b a1
13:	a0 b a1
14:	a0 b
15:	a0 b a2

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

d:	h	[ c]
0:	1	[ 1]
1:	4	[ 5]
2:	6	[11]
3:	4	[15]
4:	1	[16]

Autocomparison Matrix

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

XDI Validity

'S' is a valid XDI specification.