XDI analysis of Toggle

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

Automorphisms (symmetries)

0:	a	b	c
2:	a	c	b

Finest Semi-independent Partition

/ a b c /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Z^inp)
• No Disabling Outputs (Z^out)
• Order-Independent input (Y^inp)
• Order-Independent output (Y^out)
• Output refusal sets propate backward over inputs
• Output Deterministic

Distances

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

	0	1	2	3
0:	0	1	2	3

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

Shortest paths from initial state:

0:
1:	a
2:	a b
3:	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]

Autocomparison Matrix

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

XDI Validity

'Toggle' is a valid XDI specification.