XDI analysis of Wire

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

Statistics

2 symbols:

1 input and 1 output

2 states:

0 demanding, 1 indifferent and 1 transient

2 transitions:

1 input and 1 output

Automorphisms (symmetries)

There is 1 automorphism.

Finest Semi-independent Partition

/ a b /

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
0:	0	1

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

Shortest paths from initial state:

0:
1:	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]

Autocomparison Matrix

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

XDI Validity

'Wire' is a valid XDI specification.