A position in infinite chess with game value $\omega^4$

C. D. A. Evans; Joel David Hamkins; Norman Lewis Perlmutter

A position in infinite chess with game value $\omega^4$

Logic 2015-10-29 v1 Combinatorics

Authors: C. D. A. Evans , Joel David Hamkins , Norman Lewis Perlmutter

Abstract

We present a position in infinite chess exhibiting an ordinal game value of $\omega^4$ , thereby improving on the previously largest-known values of $\omega^3$ and $\omega^3\cdot 4$ .

Cite

@article{arxiv.1510.08155,
  title  = {A position in infinite chess with game value $\omega^4$},
  author = {C. D. A. Evans and Joel David Hamkins and Norman Lewis Perlmutter},
  journal= {arXiv preprint arXiv:1510.08155},
  year   = {2015}
}

Comments

24 pages. 6 chess diagrams. Commentary concerning this paper can be made at http://jdh.hamkins.org/a-position-in-infinite-chess-with-game-value-omega-to-the-4

A position in infinite chess with game value $\omega^4$

Abstract

Cite

Comments

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