XDI analysis of PAR-Element

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

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

Statistics

6 symbols:

3 input and 3 output

10 states:

0 demanding, 4 indifferent and 6 transient

14 transitions:

7 input and 7 output

Automorphisms (symmetries)

0:	ar	aa	br	ba	cr	ca
0:	ar	aa	cr	ca	br	ba

Finest Semi-independent Partition

/ ar aa / br ba / cr ca /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• 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 Deterministic

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:	ar
2:	ar br
3:	ar cr
4:	ar br ba
5:	ar br cr
6:	ar cr ca
7:	ar br ba cr
8:	ar br cr ca
9:	ar br ba cr ca

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

'PAR-Element' is a valid XDI specification.