XDI analysis of Decision-Wait

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME Decision-Wait)
  4>     (SYMBOLS 
  5>       (a0 INPUT) (a1 INPUT) (b0 INPUT) (b1 INPUT)
  6>       (c00 OUTPUT) (c10 OUTPUT) (c01 OUTPUT) (c11 OUTPUT)
  7>     )
  8> 
  9>     (STATES
 10>       (0 INITIAL BOX)
 11>       (1 BOX)
 12>       (2 BOX)
 13>       (3 BOX)
 14>       (6 BOX)
 15>       (4 TRANSIENT)
 16>       (7 TRANSIENT)
 17>       (5 TRANSIENT)
 18>       (8 TRANSIENT)
 19>     )
 20>     (TRANSITIONS
 21>       (0 1 a0) (0 2 a1) (0 3 b0) (0 6 b1)
 22>       (1 4 b0) (1 7 b1)
 23>       (2 5 b0) (2 8 b1)
 24>       (3 4 a0) (3 5 a1)
 25>       (6 7 a0) (6 8 a1)
 26>       (4 0 c00)
 27>       (7 0 c01)
 28>       (5 0 c10)
 29>       (8 0 c11)
 30>     )
 31>   )
 32> )
-----------------------------------------------------------------------------

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

Statistics

8 symbols:

4 input and 4 output

9 states:

0 demanding, 5 indifferent and 4 transient

16 transitions:

12 input and 4 output

Automorphisms (symmetries)

There are 8 automorphisms.

Finest Semi-independent Partition

/ a0 a1 b0 b1 c00 c10 c01 c11 /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• Disabling inputs (Z^inp) in state(s):

  0 1 2 3 6

• 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	6	4	7	5	8
0:	0	1	1	1	1	2	2	2	2

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

Shortest paths from initial state:

0:
1:	a0
2:	a1
3:	b0
6:	b1
4:	a0 b0
7:	a0 b1
5:	a1 b0
8:	a1 b1

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:	4	[9]

Autocomparison Matrix

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

XDI Validity

'Decision-Wait' is a valid XDI specification.