XDI analysis of Passivator

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  2> (AND/IF_1.0
  3> (NFA 
  4>      (NAME Passivator)
  5>      (INTERPRETATION Verhoeff/XDI)
  6>      (NOTE Generated by digg v1.0)
  7>      (SYMBOLS 
  8>               (a0 INPUT)
  9>               (b0 INPUT)
 10>               (a1 OUTPUT)
 11>               (b1 OUTPUT)
 12>      )
 13>      (STATES 
 14>         (0 TRANSIENT INITIAL)
 15>         (1 TRANSIENT)
 16>         (2 TRANSIENT)
 17>         (3 TRANSIENT)
 18>         (4 BOX)
 19>         (5 BOX)
 20>         (6 BOX)
 21>         (7 TRANSIENT)
 22>      )
 23>      (TRANSITIONS
 24>          (0 1 a1)
 25>          (0 2 b1)
 26>          (1 7 a0)
 27>          (1 4 b1)
 28>          (2 3 b0)
 29>          (2 4 a1)
 30>          (3 6 a1)
 31>          (4 5 a0)
 32>          (4 6 b0)
 33>          (5 0 b0)
 34>          (6 0 a0)
 35>          (7 5 b1)
 36>      )
 37> ))
-----------------------------------------------------------------------------

Statistics

4 symbols:

2 input and 2 output

8 states:

0 demanding, 3 indifferent and 5 transient

12 transitions:

6 input and 6 output

Automorphisms (symmetries)

There are 2 automorphisms.

Finest Semi-independent Partition

/ a0 a1 / b0 b1 /

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	4	5	6	7
0:	0	1	1	2	2	3	3	2

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

Shortest paths from initial state:

0:
1:	a1
2:	b1
3:	b1 b0
4:	a1 b1
5:	a1 a0 b1
6:	a1 b1 b0
7:	a1 a0

Distribution of distances from initial state:
[d=distance, h=occurrence count, c=cumulative occurrence count]

d:	h	[c]
0:	1	[1]
1:	2	[3]
2:	3	[6]
3:	2	[8]

Autocomparison Matrix

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

XDI Validity

'Passivator' is a valid XDI specification.