XDI analysis of First-Rest Discriminator

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Processing AND/IF input stream:
-----------------------------------------------------------------------------
  1> (AND/IF_1.0
  2>   (NFA
  3>     (NAME First-Rest Discriminator)
  4>     (SYMBOLS 
  5>       (a INPUT) (b OUTPUT) (c OUTPUT)
  6>     )
  7> 
  8>     (STATES
  9>       (0 INITIAL BOX)
 10>       (1 TRANSIENT)
 11>       (2 BOX)
 12>       (3 TRANSIENT)
 13>     )
 14>     (TRANSITIONS
 15>       (0 1 a)
 16>       (1 2 b)
 17>       (2 3 a)
 18>       (3 2 c)
 19>     )
 20>   )
 21> )
-----------------------------------------------------------------------------

First-Rest Discriminator: warning: interpretation not given. Assuming 'Verhoeff/XDI'
First-Rest Discriminator: 1 warning, 0 errors.


Statistics

3 symbols:
1 input and 2 output
4 states:
0 demanding, 2 indifferent and 2 transient
4 transitions:
2 input and 2 output
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity


Automorphisms (symmetries)

There is 1 automorphism.
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity


Finest Semi-independent Partition

/ a b c /
Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity


Choice, Order Dependence, Nondeterminism

Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity


Distances

All states are reachable from the initial state:
[ + == 9 < distance < +inf , . == distance = +inf ]
  0123
0:0123

Initial state not reachable from 3 states: 1 2 3
There are 5 state pairs where one state is unreachable from the other state.

Shortest paths from initial state:
0:
1:
2:a b 
3:a b 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]
2:1[3]
3:1[4]
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Autocomparison Matrix

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

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XDI Validity

'First-Rest Discriminator' is a valid XDI specification.

Top | Statistics | Automorphisms | Finest Semi-independent Partition | Choice, Order Dependence, Nondeterminism | Distances | Autocomparison | XDI Validity


XDI State Graph Tool, Version 2.0 (Feb 17 1998 20:34:43)
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