Author

R. Thornton

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Preprint Sep 2026

Compactness Principles for CSPs and the Axiom of Chocie

We can associate a compactness principle $\mathcal K_{\mathcal{D}}$ to the Constraint Satisfaction Problem (CSP) with constraint library $\mathcal{D}$. These principles were studied by Kat\'ay, T\'oth, and Vidny\'anszky and by Rorabaugh, Tardif, and Wehlau. We expand their work comparing the strength of $K_{\mathcal{D}...

Anthony Li, Ishin Shan, Matthew Snodgrass et al. · 0 citations

Preprint Sep 2026

FIID Coloring Random Maps

We show that the percolation components on a square grid can be $5$-colored as a factor of iid so that neighboring components get different colors. Above the critical probability, we observe that these regions can be 4-colored. Along the way, we extend the classical correspondence between fiid process and measurable la...

Justin Hsu, Daniel Sium, R. Thornton · 0 citations