# XDI analysis of Chaos

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

```Processing AND/IF input stream:
-----------------------------------------------------------------------------
1> (AND/IF_1.0
2>  (NFA
3>   (INTERPRETATION Verhoeff/XDI)
4>   (NAME Chaos)
5>   (SYMBOLS
6>    )
7>   (STATES
8>    (0 INITIAL BOTTOM)
9>    )
10>   (TRANSITIONS
11>    )
12>   )
13>  )
-----------------------------------------------------------------------------

```

### Statistics

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

### Automorphisms (symmetries)

There is 1 automorphism.
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity

### Finest Semi-independent Partition

/ /
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

There are no states reachable from the initial state:
[ + == 9 < distance < +inf , . == distance = +inf ]
0
0:0

There is 1 state unreachable from the initial state:
Initial state reachable from all states.
All states reachable from all other states.

Shortest paths from initial state:
No (explicit) states reachable
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

'Chaos' 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)