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arXiv · 1511.02334

A weak reduction of the Erdös-Szekeres conjecture into a constraint unsatisfiability problem regarding certain multisets

Archy Will He
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Abstract

We introduce the theory of div point sets, which aims to provide a framework to study the combinatoric nature of any set of points in general position on an Euclidean plane. We then show that proving the unsatisfiability of some first-order logic formulae concerning some sets of multisets of uniform cardinality over boolean variables would prove the Erdös-Szekeres conjecture, which states that for any set of 2^(n-2)+1 points in general position, there exists n points forming a convex polygon, where n is greater than or equal to 3.

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Archy Will He. 2019-08-29. A weak reduction of the Erdös-Szekeres conjecture into a constraint unsatisfiability problem regarding certain multisets. https://arxiv.org/abs/1511.02334

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