Omega-regular languages

Omega-regular languages are patterns that describe infinite sequences of symbols, often used in the context of systems that run endlessly, like computers or machines. They extend regular languages by allowing the specification of behaviors over infinite time, such as "something happens infinitely often" or "something eventually stabilizes." These languages are important in formal verification and automata theory because they can precisely express ongoing behaviors and properties of systems that operate indefinitely, enabling analysis and validation of their correctness over endless sequences.