# XDI analysis of SEQ-Element

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>   (NFA
3>     (NAME SEQ-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 TRANSIENT)
14>       (4 BOX)
15>       (5 TRANSIENT)
16>     )
17>     (TRANSITIONS
18>       (0 1 r)
19>       (1 2 r0)
20>       (2 3 a0)
21>       (3 4 r1)
22>       (4 5 a1)
23>       (5 0 a)
24>     )
25>   )
26> )
-----------------------------------------------------------------------------

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

```

### Statistics

6 symbols:
3 input and 3 output
6 states:
0 demanding, 3 indifferent and 3 transient
6 transitions:
3 input and 3 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Automorphisms (symmetries)

There are 3 automorphisms.
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### Finest Semi-independent Partition

/ r a / r0 a0 / r1 a1 /
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### 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
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### Distances

All states are reachable from the initial state:
[ + == 9 < distance < +inf , . == distance = +inf ]
012345
0:012345

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

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

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]
d:h[c]
0:1[1]
1:1[2]
2:1[3]
3:1[4]
4:1[5]
5:1[6]
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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

'SEQ-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)
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