Notes on presheaf representations of strategies and cohomological refinements of k-consistency and k-equivalence
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In this note, we show how positional strategies for k-pebble games have a natural representation as certain presheaves. These representations correspond exactly to the sheaf-theoretic models of contextuality introduced by Abramsky-Brandenburger. We study the notion of cohomological k-consistency recently introduced by Adam O' Conghaile from this perspective.
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