XDI analysis of Repeater

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME Repeater)
  4>     (INTERPRETATION Verhoeff/XDI)
  5>     (SYMBOLS 
  6>       (a0 INPUT)
  7>       (a1 OUTPUT)
  8>       (b0 OUTPUT)
  9>       (b1 INPUT)
 10>     )
 11>     (STATES
 12>       (0 INITIAL BOX)
 13>       (1 TRANSIENT)
 14>       (2 BOX)
 15>     )
 16>     (TRANSITIONS
 17>       (0 1 a0)
 18>       (1 2 b0)
 19>       (2 1 b1)
 20>     )
 21>   )
 22> )
-----------------------------------------------------------------------------

Statistics

4 symbols:

2 input and 2 output

3 states:

0 demanding, 2 indifferent and 1 transient

3 transitions:

2 input and 1 output

Automorphisms (symmetries)

There is 1 automorphism.

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
0:	0	1	2

Initial state not reachable from 2 states: 1 2
There are 2 state pairs where one state is unreachable from the other state.

Shortest paths from initial state:

0:
1:	a0
2:	a0 b0

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]

Autocomparison Matrix

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

XDI Validity

'Repeater' is a valid XDI specification.