Formalizing Ordinal Partition Relations Using Isabelle/HOL

@article{Damonja2021FormalizingOP,
  title={Formalizing Ordinal Partition Relations Using Isabelle/HOL},
  author={Mirna D{\vz}amonja and Angeliki Koutsoukou-Argyraki and Lawrence Charles Paulson},
  journal={Experimental Mathematics},
  year={2021}
}
This is an overview of a formalisation project in the proof assistant Isabelle/HOL of a number of research results in infinitary combinatorics and set theory (more specifically in ordinal partition relations) by Erd\H{o}s--Milner, Specker, Larson and Nash-Williams, leading to Larson's proof of the unpublished result by E.C. Milner asserting that for all $m \in \mathbb{N}$, $\omega^\omega\arrows(\omega^\omega, m)$. This material has been recently formalised by Paulson and is available on the… 
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