XDI comparison of DI Select and DI Select

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME DI Select)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (t INPUT)
  9>               (b INPUT)
 10>               (a OUTPUT)
 11>               (q0 OUTPUT)
 12>               (q1 OUTPUT)
 13>      )
 14>      (STATES 
 15>         (0 BOX INITIAL)
 16>         (1 TRANSIENT)
 17>         (2 TRANSIENT)
 18>         (3 TRANSIENT)
 19>         (4 BOX)
 20>         (5 TRANSIENT)
 21>         (6 TRANSIENT)
 22>         (7 TRANSIENT)
 23>         (8 TRANSIENT)
 24>         (9 TRANSIENT)
 25>         (10 TRANSIENT)
 26>         (11 TRANSIENT)
 27>         (12 TRANSIENT)
 28>         (13 TRANSIENT)
 29>         (14 TRANSIENT)
 30>         (15 TRANSIENT)
 31>      )
 32>      (TRANSITIONS
 33>          (0 1 t)
 34>          (0 2 b)
 35>          (1 3 b)
 36>          (1 0 q0)
 37>          (2 3 t)
 38>          (2 4 a)
 39>          (3 8 a)
 40>          (3 2 q0)
 41>          (3 9 q1)
 42>          (4 5 t)
 43>          (4 6 b)
 44>          (5 7 b)
 45>          (5 4 q1)
 46>          (6 7 t)
 47>          (6 0 a)
 48>          (7 11 a)
 49>          (7 12 q0)
 50>          (7 6 q1)
 51>          (8 15 b)
 52>          (8 4 q0)
 53>          (8 4 q1)
 54>          (9 10 t)
 55>          (9 4 a)
 56>          (10 5 a)
 57>          (10 9 q1)
 58>          (11 14 b)
 59>          (11 0 q0)
 60>          (11 0 q1)
 61>          (12 13 t)
 62>          (12 0 a)
 63>          (13 1 a)
 64>          (13 12 q0)
 65>          (14 8 a)
 66>          (14 2 q0)
 67>          (14 2 q1)
 68>          (15 11 a)
 69>          (15 6 q0)
 70>          (15 6 q1)
 71>      )
 72> ))
-----------------------------------------------------------------------------

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME DI Select)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (t INPUT)
  9>               (b INPUT)
 10>               (a OUTPUT)
 11>               (q0 OUTPUT)
 12>               (q1 OUTPUT)
 13>      )
 14>      (STATES 
 15>         (0 BOX INITIAL)
 16>         (1 TRANSIENT)
 17>         (2 TRANSIENT)
 18>         (3 TRANSIENT)
 19>         (4 BOX)
 20>         (5 TRANSIENT)
 21>         (6 TRANSIENT)
 22>         (7 TRANSIENT)
 23>         (8 TRANSIENT)
 24>         (9 TRANSIENT)
 25>         (10 TRANSIENT)
 26>         (11 TRANSIENT)
 27>         (12 TRANSIENT)
 28>         (13 TRANSIENT)
 29>         (14 TRANSIENT)
 30>         (15 TRANSIENT)
 31>      )
 32>      (TRANSITIONS
 33>          (0 1 t)
 34>          (0 2 b)
 35>          (1 3 b)
 36>          (1 0 q0)
 37>          (2 3 t)
 38>          (2 4 a)
 39>          (3 8 a)
 40>          (3 2 q0)
 41>          (3 9 q1)
 42>          (4 5 t)
 43>          (4 6 b)
 44>          (5 7 b)
 45>          (5 4 q1)
 46>          (6 7 t)
 47>          (6 0 a)
 48>          (7 11 a)
 49>          (7 12 q0)
 50>          (7 6 q1)
 51>          (8 15 b)
 52>          (8 4 q0)
 53>          (8 4 q1)
 54>          (9 10 t)
 55>          (9 4 a)
 56>          (10 5 a)
 57>          (10 9 q1)
 58>          (11 14 b)
 59>          (11 0 q0)
 60>          (11 0 q1)
 61>          (12 13 t)
 62>          (12 0 a)
 63>          (13 1 a)
 64>          (13 12 q0)
 65>          (14 8 a)
 66>          (14 2 q0)
 67>          (14 2 q1)
 68>          (15 11 a)
 69>          (15 6 q0)
 70>          (15 6 q1)
 71>      )
 72> ))
-----------------------------------------------------------------------------

(AND/IF_1.0 
(NFA 
     (NAME DI Select)
     (INTERPRETATION Verhoeff/XDI)
     (NOTE Generated by digg v1.0)
     (SYMBOLS 
 

Alphabets

'DI Select' and 'DI Select' have comparable alphabets

Joint Reachability

# reachable state pairs = 16
[ + == 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	.	.	.	.	.	.	.	.	.	.	.	.	.	.
2:	.	.	1	.	.	.	.	.	.	.	.	.	.	.	.	.
3:	.	.	.	2	.	.	.	.	.	.	.	.	.	.	.	.
4:	.	.	.	.	2	.	.	.	.	.	.	.	.	.	.	.
5:	.	.	.	.	.	3	.	.	.	.	.	.	.	.	.	.
6:	.	.	.	.	.	.	3	.	.	.	.	.	.	.	.	.
7:	.	.	.	.	.	.	.	4	.	.	.	.	.	.	.	.
8:	.	.	.	.	.	.	.	.	3	.	.	.	.	.	.	.
9:	.	.	.	.	.	.	.	.	.	3	.	.	.	.	.	.
10:	.	.	.	.	.	.	.	.	.	.	4	.	.	.	.	.
11:	.	.	.	.	.	.	.	.	.	.	.	5	.	.	.	.
12:	.	.	.	.	.	.	.	.	.	.	.	.	5	.	.	.
13:	.	.	.	.	.	.	.	.	.	.	.	.	.	6	.	.
14:	.	.	.	.	.	.	.	.	.	.	.	.	.	.	6	.
15:	.	.	.	.	.	.	.	.	.	.	.	.	.	.	.	4

Shortest distances and paths from initial pair

[(s,t)=state pair, d=distance, X\Y=not indiv. min., path=shortest path]

( s, t):	d,	X\Y,	path
( 0, 0):	0,	\ ,
( 1, 1):	1,	\ ,	t
( 2, 2):	1,	\ ,	b
( 3, 3):	2,	\ ,	t b
( 4, 4):	2,	\ ,	b a
( 5, 5):	3,	\ ,	b a t
( 6, 6):	3,	\ ,	b a b
( 7, 7):	4,	\ ,	b a t b
( 8, 8):	3,	\ ,	t b a
( 9, 9):	3,	\ ,	t b q1
(10,10):	4,	\ ,	t b q1 t
(11,11):	5,	\ ,	t b a b a
(12,12):	5,	\ ,	b a t b q0
(13,13):	6,	\ ,	b a t b q0 t
(14,14):	6,	\ ,	t b a b a b
(15,15):	4,	\ ,	t b a b

Distribution of distances from initial pair

[d=distance, h=occurrence count, c=cumulative occurrence count]

d:	h	[ c]
0:	1	[ 1]
1:	2	[ 3]
2:	2	[ 5]
3:	4	[ 9]
4:	3	[12]
5:	2	[14]
6:	2	[16]

Comparison

'DI Select' refines 'DI Select'.

Comparison Matrix:

											1	1	1	1	1	1
	0	1	2	3	4	5	6	7	8	9	0	1	2	3	4	5
0:	.	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0
1:	1	.	1	1	1	1	1	1	3	1	1	.	1	1	1	1
2:	1	1	.	1	1	1	3	1	1	2	1	1	2	1	1	1
3:	1	1	1	.	1	1	1	3	1	1	1	1	1	1	.	4
4:	2	0	0	0	.	0	0	0	0	0	0	0	0	0	0	0
5:	1	1	1	1	1	.	1	1	.	1	1	3	1	1	1	1
6:	1	1	3	1	1	1	.	1	1	2	1	1	2	1	1	1
7:	1	1	1	3	1	1	1	.	1	1	1	1	1	1	4	.
8:	1	1	1	1	1	1	1	1	.	1	1	3	1	1	1	1
9:	1	1	.	1	1	1	3	1	1	.	1	1	2	1	1	1
10:	1	1	1	.	1	1	1	4	1	1	.	1	1	1	.	4
11:	1	1	1	1	1	1	1	1	3	1	1	.	1	1	1	1
12:	1	1	3	1	1	1	.	1	1	2	1	1	.	1	1	1
13:	1	1	1	4	1	1	1	.	1	1	1	1	1	.	4	.
14:	1	1	1	3	1	1	1	3	1	1	1	1	1	1	.	4
15:	1	1	1	3	1	1	1	3	1	1	1	1	1	1	4	.

'DI Select' is refined by 'DI Select'.
Comparison Matrix:

											1	1	1	1	1	1
	0	1	2	3	4	5	6	7	8	9	0	1	2	3	4	5
0:	.	1	1	1	2	1	1	1	1	1	1	1	1	1	1	1
1:	0	.	1	1	0	1	1	1	1	1	1	1	1	1	1	1
2:	0	1	.	1	0	1	3	1	1	.	1	1	3	1	1	1
3:	0	1	1	.	0	1	1	3	1	1	.	1	1	4	3	3
4:	2	1	1	1	.	1	1	1	1	1	1	1	1	1	1	1
5:	0	1	1	1	0	.	1	1	1	1	1	1	1	1	1	1
6:	0	1	3	1	0	1	.	1	1	3	1	1	.	1	1	1
7:	0	1	1	3	0	1	1	.	1	1	4	1	1	.	3	3
8:	0	3	1	1	0	.	1	1	.	1	1	3	1	1	1	1
9:	0	1	2	1	0	1	2	1	1	.	1	1	2	1	1	1
10:	0	1	1	1	0	1	1	1	1	1	.	1	1	1	1	1
11:	0	.	1	1	0	3	1	1	3	1	1	.	1	1	1	1
12:	0	1	2	1	0	1	2	1	1	2	1	1	.	1	1	1
13:	0	1	1	1	0	1	1	1	1	1	1	1	1	.	1	1
14:	0	1	1	.	0	1	1	4	1	1	.	1	1	4	.	4
15:	0	1	1	4	0	1	1	.	1	1	4	1	1	.	4	.