A Model Theoretic Proof of Szemer\'edi's Theorem.

Authors: Henry Towsner
Subjects: Logic
link: http://arxiv.org/abs/1002.4456
Abstract

We present a short proof of Szemer\'edi's Theorem using a dynamical system
enriched by ideas from model theory. The resulting proof contains features
reminiscent of proofs based on both ergodic theory and on hypergraph
regularity.