# XDI analysis of PAR-Element

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

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

```

### Statistics

6 symbols:
3 input and 3 output
10 states:
0 demanding, 4 indifferent and 6 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)

 0: 0: ar aa br ba cr ca ar aa cr ca br ba
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### Finest Semi-independent Partition

/ ar aa / br ba / cr ca /
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Zinp)
• 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 ]
0123456789
0:0122333445

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

Shortest paths from initial state:
0: ar ar br ar cr ar br ba ar br cr ar cr ca ar br ba cr ar br cr ca ar br ba cr ca

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]
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### Autocomparison Matrix

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

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### XDI Validity

'PAR-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 2.1.1 (Jun 26 1998 10:51:42)