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Two-player turn-based perfect-information games, surreal numbers, impartial games and Sprague-Grundy theory, partizan games

9 votes

What is the complexity of the winning condition in infinite Hex? In particular, is infinite ...

The complexity is arithmetic, and at most $\Sigma^0_7$. The proof is based on showing that my counterexample to PyRulez's proposed formula is essentially the only one. Let $G$ be the set of tiles of t …
Ilkka Törmä's user avatar