B\"uchi Automaton

Büchi automata are finite-state machines that accept or reject infinite sequences, finding applications in formal verification and model checking of systems with ongoing behavior. Current research focuses on leveraging Büchi automata, particularly variations like Limit Deterministic Büchi Automata and good-for-MDP automata, to analyze and verify complex systems such as deep neural networks and Markov Decision Processes, often employing reinforcement learning algorithms or graph neural networks for efficient analysis. This work is significant because it enables the formal verification of increasingly complex systems, improving the reliability and safety of software and hardware, and offering new approaches to interpreting the behavior of "black box" models like deep neural networks.