And what is the connection between the number of "positions" and the number
of games or even solving games? In the game trees we do not care about
positions, but about situations. For the game tree it indeed matters whos
turn it is, which moves are legal, and if super-ko rules are used which
It's trivial, dude.
On Aug 9, 2017 8:35 AM, "Marc Landgraf" wrote:
> Under which ruleset is the 3^(n*n) a trivial upper bound for the number of
> legal positions?
> I'm sure there are rulesets, under which this bonds holds, but I doubt
> that this can be considered
> And what is the connection between the number of "positions" and the number
> of games
The number of games is at most 361^#positions.
> or even solving games? In the game trees we do not care about
> positions, but about situations.
We care about lots of things, including intersections,
> 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
Under which ruleset is the 3^(n*n) a trivial upper bound for the number of
legal positions?
I'm sure there are rulesets, under which this bonds holds, but I doubt that
this can be considered trivial.
Under the in computer go more common rulesets this upper bound is simply
wrong. Unless we talk
I don't mind your terminology, in fact I feel like it is a good way to
distinguish the two different things. It is just that I considiered one
thing wrongly used instead of the other for the discussion here.
But if we go with the link you are suggesting here:
Shouldnt that number at most be
361! seems like an attempt to estimate an upper bound on the number of
games where nothing is captured.
On Wed, Aug 9, 2017 at 2:34 PM, Gunnar Farnebäck
wrote:
> Except 361! (~10^768) couldn't plausibly be an estimate of the number of
> legal positions, since ignoring the
Except 361! (~10^768) couldn't plausibly be an estimate of the number of
legal positions, since ignoring the rules in that case gives the trivial
upper bound of 3^361 (~10^172).
More likely it is a very, very bad attempt at estimating the number of
games. Even with the extremely unsharp bound