XDI analysis of M

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME M)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (a0 INPUT)
  9>               (a1 INPUT)
 10>               (a2 INPUT)
 11>               (b OUTPUT)
 12>      )
 13>      (STATES 
 14>         (0 BOX INITIAL)
 15>         (1 TRANSIENT)
 16>      )
 17>      (TRANSITIONS
 18>          (0 1 a0)
 19>          (0 1 a1)
 20>          (0 1 a2)
 21>          (1 0 b)
 22>      )
 23> ))
-----------------------------------------------------------------------------

Statistics

4 symbols:

3 input and 1 output

2 states:

0 demanding, 1 indifferent and 1 transient

4 transitions:

3 input and 1 output

Automorphisms (symmetries)

There are 6 automorphisms.

Finest Semi-independent Partition

/ a0 a1 a2 b /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• Disabling inputs (Z^inp) in state(s):

  0

• 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:	a0

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

'M' is a valid XDI specification.