# XDI analysis of E-Element

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>   (NFA
3>     (NAME E-Element)
4>     (SYMBOLS
5>       (r INPUT) (a OUTPUT) (r0 OUTPUT) (a0 INPUT)
6>       (r1 OUTPUT) (a1 INPUT)
7>     )
8>
9>     (STATES
10>       (0 INITIAL BOX)
11>       (1 TRANSIENT)
12>       (2 BOX)
13>       (3 BOX)
14>       (4 TRANSIENT)
15>       (5 BOX)
16>       (6 TRANSIENT)
17>       (7 BOX)
18>       (8 BOX)
19>       (9 TRANSIENT)
20>     )
21>     (TRANSITIONS
22>       (0 1 r)
23>       (1 2 r0) (1 3 r1)
24>       (2 4 a0) (2 5 r1)
25>       (3 5 r0) (3 6 a1)
26>       (4 7 r1)
27>       (5 7 a0) (5 8 a1)
28>       (6 8 r0)
29>       (7 9 a1)
30>       (8 9 a0)
31>       (9 0 a)
32>     )
33>   )
34> )
-----------------------------------------------------------------------------

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

```

### Statistics

6 symbols:
3 input and 3 output
10 states:
0 demanding, 6 indifferent and 4 transient
14 transitions:
7 input and 7 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

/ r a / r0 a0 / r1 a1 /
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Choice, Order Dependence, Nondeterminism

• Not maximally transient:
2 3
• No Disabling Inputs (Zinp)
• No Disabling Outputs (Zout)
• Order-Independent input (Yinp)
• Order-Independent output (Yout)
• Output refusal sets propate backward over inputs
• Output Non-Deterministic (static)
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 ]
0123456789
0:0122333445

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

Shortest paths from initial state:
0: r r r0 r r1 r r0 a0 r r0 r1 r r1 a1 r r0 a0 r1 r r0 r1 a1 r r0 a0 r1 a1

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]
d:h[ c]
0:11]
1:12]
2:24]
3:37]
4:29]
5:1[10]
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

'E-Element' 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)