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Re: Equivalence only in one direction
Roozbeh Pournader <roozbeh@xxxxxxxxxx> wrote:
> > Let's call these three labels X, Y, and V, where V is the common
> > variant of X and Y, and X and Y are not variants of each other.
>
> Which of the following tables do you mean?
>
> X|V
> Y|V
> V|X;Y
>
> or
>
> X|V
> Y|V
> V
>
> ?
Neither, for two reasons: (1) I haven't started thinking in terms of
tables, I'm still thinking in terms of relations, and (2) X, Y, and Z
are entire labels, so they are unlikely to appear in the table (the
table contains single characters and perhaps short strings).
I think you're asking whether I had a symmetric variant relation in
mind, or an asymmetric one. I probably had a symmetric relation in
mind. The important point was that it was intransitive--that's what
made the scenarios interesting (to me).
I think it would make sense to avoid fixating on a particular table
format while we're still discussing what kind of relation it ought to
generate.
AMC