# XDI analysis of RGDA Arbiter

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>   (NFA
3>     (NAME RGDA Arbiter)
4>     (SYMBOLS
5>       (r0 INPUT) (g0 OUTPUT) (d0 INPUT) (a0 OUTPUT)
6>       (r1 INPUT) (g1 OUTPUT) (d1 INPUT) (a1 OUTPUT)
7>     )
8>
9>     (STATES
10>       (0 INITIAL BOX)
11>       (1 TRANSIENT)
12>       (4 TRANSIENT)
13>       (2 BOX)
14>       (5 TRANSIENT)
15>       (3 TRANSIENT)
16>       (6 BOX)
17>       (7 TRANSIENT)
18>       (8 BOX)
19>       (9 BOX)
20>       (10 TRANSIENT)
21>       (11 TRANSIENT)
22>       (12 TRANSIENT)
23>       (14 TRANSIENT)
24>       (13 TRANSIENT)
25>     )
26>     (TRANSITIONS
27>       (0 1 r0) (0 4 r1)
28>       (1 2 g0) (1 5 r1)
29>       (4 5 r0) (4 8 g1)
30>       (2 3 d0) (2 6 r1)
31>       (5 6 g0) (5 9 g1)
32>       (3 0 a0) (3 7 r1)
33>       (6 7 d0)
34>       (7 4 a0) (7 10 g1)
35>       (8 9 r0) (8 11 d1)
36>       (9 12 d1)
37>       (10 8 a0) (10 14 d1)
38>       (11 12 r0) (11 0 a1)
39>       (12 13 g0) (12 1 a1)
40>       (14 11 a0) (14 3 a1)
41>       (13 14 d0) (13 2 a1)
42>     )
43>   )
44> )
-----------------------------------------------------------------------------

RGDA Arbiter: warning: interpretation not given. Assuming 'Verhoeff/XDI'
RGDA Arbiter: 1 warning, 0 errors.

```

### Statistics

8 symbols:
4 input and 4 output
15 states:
0 demanding, 5 indifferent and 10 transient
28 transitions:
14 input and 14 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Automorphisms (symmetries)

There are 2 automorphisms.
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Finest Semi-independent Partition

/ r0 a0 / g0 d0 / r1 a1 / g1 d1 /
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### Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Zinp)
• Disabling outputs (Zout) in state(s):
5
• Order-Independent input (Yinp)
• Order-Independent output (Yout)
• Output refusal sets do NOT propagate backward over inputs in state(s):
1 4
• Output Non-Deterministic
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Distances

All states are reachable from the initial state:
[ + == 9 < distance < +inf , . == distance = +inf ]
11111
014253678901243
0:011223342353465

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

Shortest paths from initial state:
 0: r0 r1 r0 g0 r0 r1 r0 g0 d0 r0 g0 r1 r0 g0 d0 r1 r1 g1 r0 r1 g1 r0 g0 d0 r1 g1 r1 g1 d1 r0 r1 g1 d1 r0 g0 d0 r1 g1 d1 r0 r1 g1 d1 g0

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]
d:h[ c]
0:11]
1:23]
2:36]
3:4[10]
4:2[12]
5:2[14]
6:1[15]
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Autocomparison Matrix

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

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### XDI Validity

'RGDA Arbiter' is a valid XDI specification.

Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

XDI State Graph Tool, Version 2.0 (Feb 17 1998 20:34:43)