On Sun, Nov 4, 2012 at 10:00 PM, Michal D. <michal.dobrog...@gmail.com> wrote:
>> A tricky part seems to be that the upper triangle of A corresponds to
>> the forward direction in C (the bit in D that selects a row in A is
>> also selecting a row in C) while the lower triangle of A corresponds
>> to the reverse direction in C.  But I'm not seeing anything like this
>> in the text of the wikipedia entry.  And, if the diagram on the right
>> hand side is meant to be an illustration where the constraint is x < y
>> then it looks like we do not care about the order of the two
>> variables.  In other words, if we specify the constraint x < y it
>> looks like either x1 < x2 or x2 < x1 is sufficient to satisfy arc
>> consistency.  In other words, i think we should always use the
>> symmetric closure of the constraint.
>
>> Does this sound valid to you?
>
> Unfortunately not.  There are no values that can satisfy x1<x2 and x2<x1.
> If this was the case all csps would have no solutions

I meant x1<x2 OR x2<x1

So symmetric closure was the wrong term for me to use.

But I think we want to be using intersection of the relationship with
its inverse.

Does that sound right to you?

Thanks,

-- 
Raul
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