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Mar 16, 2014 at 18:37 comment added Waldemar I have tried to develop the argument from the last paragraph of your answer - see my answer.
Mar 16, 2014 at 14:57 comment added Joel David Hamkins I rewrote my answer to eliminate the remarks about my previous misunderstanding of the question.
Mar 16, 2014 at 14:56 history edited Joel David Hamkins CC BY-SA 3.0
Rewrote answer to correct my initial misunderstanding of the question
Mar 16, 2014 at 14:34 history edited Joel David Hamkins CC BY-SA 3.0
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Mar 16, 2014 at 14:26 comment added Joel David Hamkins I updated my answer to point out at least that the won-position problem in your case is c.e., since for these positions, with only finitely many moves at each stage, a position will be winning for white if and only if it is mate-in-n for some n.
Mar 16, 2014 at 14:24 history edited Joel David Hamkins CC BY-SA 3.0
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Mar 16, 2014 at 14:19 comment added Waldemar Thanks Joel. Maybe you could kindly give some hints to my question: what are the promising ways which could possibly lead to a proof of the problem decidability?
Mar 16, 2014 at 14:17 comment added Joel David Hamkins Ah, that is totally different, and our methods do not settle it at all. It seems to be totally open.
Mar 16, 2014 at 13:55 history answered Joel David Hamkins CC BY-SA 3.0