XDI analysis of RGD 1-arbiter

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME RGD 1-arbiter)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (r0 INPUT)
  9>               (r1 INPUT)
 10>               (d INPUT)
 11>               (g0 OUTPUT)
 12>               (g1 OUTPUT)
 13>      )
 14>      (STATES 
 15>         (0 BOX INITIAL)
 16>         (1 TRANSIENT)
 17>         (2 TRANSIENT)
 18>         (3 TRANSIENT)
 19>         (4 BOX)
 20>         (5 BOX)
 21>         (6 BOX)
 22>         (7 BOX)
 23>      )
 24>      (TRANSITIONS
 25>          (0 1 r0)
 26>          (0 2 r1)
 27>          (1 3 r1)
 28>          (1 4 g0)
 29>          (2 3 r0)
 30>          (2 4 g1)
 31>          (3 5 g0)
 32>          (3 6 g1)
 33>          (4 6 r0)
 34>          (4 5 r1)
 35>          (4 0 d)
 36>          (5 7 r0)
 37>          (5 2 d)
 38>          (6 7 r1)
 39>          (6 1 d)
 40>          (7 3 d)
 41>      )
 42> ))
-----------------------------------------------------------------------------

Statistics

5 symbols:

3 input and 2 output

8 states:

0 demanding, 5 indifferent and 3 transient

16 transitions:

12 input and 4 output

Automorphisms (symmetries)

There are 2 automorphisms.

Finest Semi-independent Partition

/ r0 r1 d g0 g1 /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Z^inp)
• Disabling outputs (Z^out) in state(s):

  3

• Order-Independent input (Y^inp)
• Order-Independent output (Y^out)
• Output refusal sets do NOT propagate backward over inputs in state(s):

  1 2

• Output Non-Deterministic

Distances

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

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

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

Shortest paths from initial state:

0:
1:	r0
2:	r1
3:	r0 r1
4:	r0 g0
5:	r0 r1 g0
6:	r0 r1 g1
7:	r0 r1 g0 r0

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:	2	[5]
3:	2	[7]
4:	1	[8]

Autocomparison Matrix

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

XDI Validity

'RGD 1-arbiter' is a valid XDI specification.