# XDI analysis of Partial Decision-Wait

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>   (NFA
3>     (NAME Partial Decision-Wait)
4>     (SYMBOLS
5>       (a0 INPUT) (a1 INPUT) (b0 INPUT) (b1 INPUT)
6>       (c00 OUTPUT) (c10 OUTPUT) (c01 OUTPUT)
7>     )
8>
9>     (STATES
10>       (0 INITIAL BOX)
11>       (1 BOX)
12>       (2 BOX)
13>       (3 BOX)
14>       (6 BOX)
15>       (4 TRANSIENT)
16>       (7 TRANSIENT)
17>       (5 TRANSIENT)
18>     )
19>     (TRANSITIONS
20>       (0 1 a0) (0 2 a1) (0 3 b0) (0 6 b1)
21>       (1 4 b0) (1 7 b1)
22>       (2 5 b0)
23>       (3 4 a0) (3 5 a1)
24>       (6 7 a0)
25>       (4 0 c00)
26>       (7 0 c01)
27>       (5 0 c10)
28>     )
29>   )
30> )
-----------------------------------------------------------------------------

Partial Decision-Wait: warning: interpretation not given. Assuming 'Verhoeff/XDI'
Partial Decision-Wait: 1 warning, 0 errors.

```

### Statistics

7 symbols:
4 input and 3 output
8 states:
0 demanding, 5 indifferent and 3 transient
13 transitions:
10 input and 3 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Automorphisms (symmetries)

There are 2 automorphisms.
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### Finest Semi-independent Partition

/ a0 a1 b0 b1 c00 c10 c01 /
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### Choice, Order Dependence, Nondeterminism

• Maximally Transient
• Disabling inputs (Zinp) in state(s):
0 1 3
• 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 ]
01236475
0:01111222

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

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

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]
d:h[c]
0:1[1]
1:4[5]
2:3[8]
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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

'Partial Decision-Wait' 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)