# Fast simulation based reduction for ω-automaton

## Abstract

The ${\displaystyle \omega }$-automata, capable of modeling infinite behavior, are used in numerous domains including model checking. The algorithms used are in general very costly. For this reason, we want to reduce the automata size while preserving the recognized language by applying numerous reductions. One of them, based on simulation, is very slow. In this paper, we will how to speed up using algorithmic methods and parallelization.