XDI analysis of Test-and-set

Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME Test-and-set)
  4>     (SYMBOLS 
  5>       (r INPUT) (t INPUT) (t0 OUTPUT) (t1 OUTPUT)
  6>     )
  7> 
  8>     (STATES
  9>       (0 INITIAL BOX)
 10>       (1 BOX)
 11>       (2 TRANSIENT)	
 12>       (3 TRANSIENT)	
 13>     )
 14>     (TRANSITIONS
 15>       (0 1 r) (0 2 t)
 16>       (1 3 t) 
 17>       (2 3 r)
 18>       (2 0 t1)
 19>       (3 0 t0)
 20>       (3 1 t1)
 21>     )
 22>   )
 23> )
-----------------------------------------------------------------------------

Test-and-set: warning: interpretation not given. Assuming 'Verhoeff/XDI'
Test-and-set: 1 warning, 0 errors.

Statistics

4 symbols:

2 input and 2 output

4 states:

0 demanding, 2 indifferent and 2 transient

7 transitions:

4 input and 3 output

Automorphisms (symmetries)

0:	r	t	t0	t1

Finest Semi-independent Partition

/ r t t0 t1 /

Choice, Order Dependence, Nondeterminism

• Maximally Transient
• No Disabling Inputs (Z^inp)
• Disabling outputs (Z^out) in state(s):

  3

• Order-Independent input (Y^inp)
• Order-Independent output (Y^out)
• Output refusal sets do NOT propagate backward over inputs in state(s):

  2

• Output Non-Deterministic

Distances

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

	0	1	2	3
0:	0	1	1	2

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

Shortest paths from initial state:

0:
1:	r
2:	t
3:	r t

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:	1	[4]

Autocomparison Matrix

There are 2 state pairs (x,y) where x refines y outside the diagonal:

(0[],1[]) (2\/,3\/)

XDI Validity

'Test-and-set' is a valid XDI specification.