# XDI analysis of Toggle

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```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>   (NFA
3>     (NAME Toggle)
4>     (SYMBOLS
5>       (a INPUT) (b OUTPUT) (c OUTPUT)
6>     )
7>
8>     (STATES
9>       (0 INITIAL BOX)
10>       (1 TRANSIENT)
11>       (2 BOX)
12>       (3 TRANSIENT)
13>     )
14>     (TRANSITIONS
15>       (0 1 a)
16>       (1 2 b)
17>       (2 3 a)
18>       (3 0 c)
19>     )
20>   )
21> )
-----------------------------------------------------------------------------

Toggle: warning: interpretation not given. Assuming 'Verhoeff/XDI'
Toggle: 1 warning, 0 errors.

```

### Statistics

3 symbols:
1 input and 2 output
4 states:
0 demanding, 2 indifferent and 2 transient
4 transitions:
2 input and 2 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Automorphisms (symmetries)

 0: 2: a b c a c b
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Finest Semi-independent Partition

/ a b c /
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 ]
0123
0:0123

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

Shortest paths from initial state:
0: a a b a b a

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]
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.

Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### XDI Validity

'Toggle' 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)