On 26.10.2017 22:29, Brian Sheppard via Computer-go wrote:
it is important to account for p-space completeness.
We are not dealing with N-go for arbitrary, increasing N, but with 361-go on the fixed board size. Nevertheless, a complete mathematical solution of go might be extremely complex. We are not there yet. Currently, we need not bother with possible eventual complexity but can use approximations during decision-making.
That is, a set of rules that covers Go without conflict must be exponential in space usage.
Unless studying N-go and possibly when studying a complete mathematical solution of 361-go, I do not see why. The R rules themselves can have a tree hierarchy with roughly ld R decisions between the rules for a search of a final decision. The real complexity only occurs where some single rules call a tactical reading routine, for which we can set practical search limitations.
-- robert jasiek _______________________________________________ Computer-go mailing list Computer-go@computer-go.org http://computer-go.org/mailman/listinfo/computer-go