XDI analysis of Non-receptive Test-and-Set [dial]

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME Non-receptive Test-and-Set [dial])
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (r INPUT)
  9>               (t INPUT)
 10>               (a OUTPUT)
 11>               (t0 OUTPUT)
 12>               (t1 OUTPUT)
 13>      )
 14>      (STATES 
 15>         (0 BOX INITIAL)
 16>         (1 TRANSIENT)
 17>         (2 TRANSIENT)
 18>         (3 BOX)
 19>         (4 TRANSIENT)
 20>      )
 21>      (TRANSITIONS
 22>          (0 1 r)
 23>          (0 2 t)
 24>          (1 3 a)
 25>          (2 0 t1)
 26>          (3 4 t)
 27>          (4 0 t0)
 28>      )
 29> ))
-----------------------------------------------------------------------------

Statistics

5 symbols:

2 input and 3 output

5 states:

0 demanding, 2 indifferent and 3 transient

6 transitions:

3 input and 3 output

Automorphisms (symmetries)

0:	r	t	a	t0	t1

Finest Semi-independent Partition

/ r t a t0 t1 /

Choice, Order Dependence, Nondeterminism

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

  0

• 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
0:	0	1	1	2	3

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

Shortest paths from initial state:

0:
1:	r
2:	t
3:	r a
4:	r a t

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

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

Autocomparison Matrix

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

XDI Validity

'Non-receptive Test-and-Set [dial]' is a valid XDI specification.