XDI analysis of E-Element

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

E-Element: warning: interpretation not given. Assuming 'Verhoeff/XDI'
E-Element: 1 warning, 0 errors.

Statistics

6 symbols:

3 input and 3 output

10 states:

0 demanding, 6 indifferent and 4 transient

14 transitions:

7 input and 7 output

Automorphisms (symmetries)

There are 2 automorphisms.

Finest Semi-independent Partition

/ r a / r0 a0 / r1 a1 /

Choice, Order Dependence, Nondeterminism

• Not maximally transient:

  2 3 

• No Disabling Inputs (Z^inp)
• No Disabling Outputs (Z^out)
• Order-Independent input (Y^inp)
• Order-Independent output (Y^out)
• Output refusal sets propate backward over inputs
• Output Non-Deterministic (static)

Distances

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

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

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

Shortest paths from initial state:

0:
1:	r
2:	r r0
3:	r r1
4:	r r0 a0
5:	r r0 r1
6:	r r1 a1
7:	r r0 a0 r1
8:	r r0 r1 a1
9:	r r0 a0 r1 a1

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

d:	h	[ c]
0:	1	[ 1]
1:	1	[ 2]
2:	2	[ 4]
3:	3	[ 7]
4:	2	[ 9]
5:	1	[10]

Autocomparison Matrix

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

XDI Validity

'E-Element' is a valid XDI specification.