English

Weak Mso with the Unbounding Quantifier

Formal Languages and Automata Theory 2009-03-09 v1 Logic in Computer Science

Abstract

A new class of languages of infinite words is introduced, called the max-regular languages, extending the class of ω\omega-regular languages. The class has two equivalent descriptions: in terms of automata (a type of deterministic counter automaton), and in terms of logic (weak monadic second-order logic with a bounding quantifier). Effective translations between the logic and automata are given.

Keywords

Cite

@article{arxiv.0902.1042,
  title  = {Weak Mso with the Unbounding Quantifier},
  author = {Mikolaj Bojanczyk},
  journal= {arXiv preprint arXiv:0902.1042},
  year   = {2009}
}
R2 v1 2026-06-21T12:08:31.976Z