# Compressibility and probabilistic proofs

## TL;DR

This paper explores how compressibility arguments can be used to provide probabilistic existence proofs, including applications involving the Lovász local lemma, offering new insights into combinatorial probability methods.

## Contribution

It introduces novel compressibility-based techniques for probabilistic proofs, expanding the toolkit for combinatorial existence arguments.

## Key findings

- Demonstrates compressibility methods in probabilistic proofs
- Includes examples involving Lovász local lemma
- Provides alternative proof strategies for combinatorial results

## Abstract

We consider several examples of probabilistic existence proofs using compressibility arguments, including some results that involve Lov\'asz local lemma.