# XDI analysis of DC

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
2> (AND/IF_1.0
3> (NFA
4>      (NAME DC)
5>      (INTERPRETATION Verhoeff/XDI)
6>      (NOTE Generated by digg v1.0)
7>      (SYMBOLS
8>               (a0 INPUT)
9>               (b0 INPUT)
10>               (a1 INPUT)
11>               (b1 INPUT)
12>               (a2 INPUT)
13>               (c00 OUTPUT)
14>               (c10 OUTPUT)
15>               (c01 OUTPUT)
16>               (c20 OUTPUT)
17>               (c11 OUTPUT)
18>               (c21 OUTPUT)
19>      )
20>      (STATES
21>         (0 BOX INITIAL)
22>         (1 BOX)
23>         (2 BOX)
24>         (3 BOX)
25>         (4 BOX)
26>         (5 BOX)
27>         (6 TRANSIENT)
28>         (7 TRANSIENT)
29>         (8 TRANSIENT)
30>         (9 TRANSIENT)
31>         (10 TRANSIENT)
32>         (11 TRANSIENT)
33>      )
34>      (TRANSITIONS
35>          (0 1 a0)
36>          (0 2 b0)
37>          (0 3 a1)
38>          (0 4 b1)
39>          (0 5 a2)
40>          (1 11 b0)
41>          (1 8 b1)
42>          (2 11 a0)
43>          (2 10 a1)
44>          (2 6 a2)
45>          (3 10 b0)
46>          (3 9 b1)
47>          (4 8 a0)
48>          (4 9 a1)
49>          (4 7 a2)
50>          (5 6 b0)
51>          (5 7 b1)
52>          (6 0 c20)
53>          (7 0 c21)
54>          (8 0 c01)
55>          (9 0 c11)
56>          (10 0 c10)
57>          (11 0 c00)
58>      )
59> ))
-----------------------------------------------------------------------------

```

### Statistics

11 symbols:
5 input and 6 output
12 states:
0 demanding, 6 indifferent and 6 transient
23 transitions:
17 input and 6 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Automorphisms (symmetries)

There are 12 automorphisms.
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Finest Semi-independent Partition

/ a0 b0 a1 b1 a2 c00 c10 c01 c20 c11 c21 /
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Choice, Order Dependence, Nondeterminism

• Maximally Transient
• Disabling inputs (Zinp) in state(s):
0 1 2 3 4 5
• No Disabling Outputs (Zout)
• Order-Independent input (Yinp)
• Order-Independent output (Yout)
• Output refusal sets propate backward over inputs
• Output 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 ]
11
012345678901
0:011111222222

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

Shortest paths from initial state:
 0: a0 b0 a1 b1 a2 b0 a2 b1 a2 a0 b1 a1 b1 b0 a1 a0 b0

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]
d:h[ c]
0:11]
1:56]
2:6[12]
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

'DC' 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)
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