> Under which ruleset is the 3^(n*n) a trivial upper bound for the number of
> legal positions?

Under all rulesets.

> Unless we talk about simply the visual aspect

Yes, we do.

> but then this has
> absolutely nothing to do with the discussion abour solving games.

If you want the notion of "position" to encode everything needed to
determine legality of future plays, then in the case of superko, you
need the entire set of previous board configurations, which to me is
rather absurd.
Instead you should call that "situation".
That's how we distinguish the two flavors of superko;
positional vs situational...

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