Sprague-Grundy theory in bounded arithmetic

Satoru Kuroda

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arXiv · 1609.02408

Sprague-Grundy theory in bounded arithmetic

Satoru Kuroda

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Abstract

In this paper, we formalize Sprague-Grundy theory for combinatorial games in bounded arithmetic. We show that in the presence of Sprague-Grundy numbers, a fairly weak axioms capture PSPACE.

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BibTeX RIS

Satoru Kuroda. 2016-09-08. Sprague-Grundy theory in bounded arithmetic. https://arxiv.org/abs/1609.02408

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