Büchi automata

Büchi automata are a type of mathematical model used to represent systems that can go on indefinitely, often used in computer science for verifying the behavior of software and hardware. They can be thought of as state machines that process infinite sequences of inputs and determine whether certain conditions are met over time. Specifically, Büchi automata accept infinite sequences if they satisfy particular criteria, such as visiting certain states infinitely often. This makes them particularly useful for analyzing properties of systems that are expected to run forever, like operating systems or real-time systems.